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This commit is contained in:
Nguyễn Anh Khoa
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.gitignore
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# Created by https://www.gitignore.io/api/julia,jupyternotebook,jupyternotebooks,latex,python,tex,vim
|
||||
# Edit at https://www.gitignore.io/?templates=julia,jupyternotebook,jupyternotebooks,latex,python,tex,vim
|
||||
|
||||
### Julia ###
|
||||
# Files generated by invoking Julia with --code-coverage
|
||||
*.jl.cov
|
||||
*.jl.*.cov
|
||||
|
||||
# Files generated by invoking Julia with --track-allocation
|
||||
*.jl.mem
|
||||
|
||||
# System-specific files and directories generated by the BinaryProvider and BinDeps packages
|
||||
# They contain absolute paths specific to the host computer, and so should not be committed
|
||||
deps/deps.jl
|
||||
deps/build.log
|
||||
deps/downloads/
|
||||
deps/usr/
|
||||
deps/src/
|
||||
|
||||
# Build artifacts for creating documentation generated by the Documenter package
|
||||
docs/build/
|
||||
docs/site/
|
||||
|
||||
# File generated by Pkg, the package manager, based on a corresponding Project.toml
|
||||
# It records a fixed state of all packages used by the project. As such, it should not be
|
||||
# committed for packages, but should be committed for applications that require a static
|
||||
# environment.
|
||||
Manifest.toml
|
||||
|
||||
### JupyterNotebook ###
|
||||
.ipynb_checkpoints
|
||||
*/.ipynb_checkpoints/*
|
||||
|
||||
# Remove previous ipynb_checkpoints
|
||||
# git rm -r .ipynb_checkpoints/
|
||||
#
|
||||
|
||||
### JupyterNotebooks ###
|
||||
# gitignore template for Jupyter Notebooks
|
||||
# website: http://jupyter.org/
|
||||
|
||||
|
||||
# Remove previous ipynb_checkpoints
|
||||
# git rm -r .ipynb_checkpoints/
|
||||
|
||||
### LaTeX ###
|
||||
## Core latex/pdflatex auxiliary files:
|
||||
*.aux
|
||||
*.lof
|
||||
*.log
|
||||
*.lot
|
||||
*.fls
|
||||
*.out
|
||||
*.toc
|
||||
*.fmt
|
||||
*.fot
|
||||
*.cb
|
||||
*.cb2
|
||||
.*.lb
|
||||
|
||||
## Intermediate documents:
|
||||
*.dvi
|
||||
*.xdv
|
||||
*-converted-to.*
|
||||
# these rules might exclude image files for figures etc.
|
||||
# *.ps
|
||||
# *.eps
|
||||
# *.pdf
|
||||
|
||||
## Generated if empty string is given at "Please type another file name for output:"
|
||||
.pdf
|
||||
|
||||
## Bibliography auxiliary files (bibtex/biblatex/biber):
|
||||
*.bbl
|
||||
*.bcf
|
||||
*.blg
|
||||
*-blx.aux
|
||||
*-blx.bib
|
||||
*.run.xml
|
||||
|
||||
## Build tool auxiliary files:
|
||||
*.fdb_latexmk
|
||||
*.synctex
|
||||
*.synctex(busy)
|
||||
*.synctex.gz
|
||||
*.synctex.gz(busy)
|
||||
*.pdfsync
|
||||
|
||||
## Build tool directories for auxiliary files
|
||||
# latexrun
|
||||
latex.out/
|
||||
|
||||
## Auxiliary and intermediate files from other packages:
|
||||
# algorithms
|
||||
*.alg
|
||||
*.loa
|
||||
|
||||
# achemso
|
||||
acs-*.bib
|
||||
|
||||
# amsthm
|
||||
*.thm
|
||||
|
||||
# beamer
|
||||
*.nav
|
||||
*.pre
|
||||
*.snm
|
||||
*.vrb
|
||||
|
||||
# changes
|
||||
*.soc
|
||||
|
||||
# comment
|
||||
*.cut
|
||||
|
||||
# cprotect
|
||||
*.cpt
|
||||
|
||||
# elsarticle (documentclass of Elsevier journals)
|
||||
*.spl
|
||||
|
||||
# endnotes
|
||||
*.ent
|
||||
|
||||
# fixme
|
||||
*.lox
|
||||
|
||||
# feynmf/feynmp
|
||||
*.mf
|
||||
*.mp
|
||||
*.t[1-9]
|
||||
*.t[1-9][0-9]
|
||||
*.tfm
|
||||
|
||||
#(r)(e)ledmac/(r)(e)ledpar
|
||||
*.end
|
||||
*.?end
|
||||
*.[1-9]
|
||||
*.[1-9][0-9]
|
||||
*.[1-9][0-9][0-9]
|
||||
*.[1-9]R
|
||||
*.[1-9][0-9]R
|
||||
*.[1-9][0-9][0-9]R
|
||||
*.eledsec[1-9]
|
||||
*.eledsec[1-9]R
|
||||
*.eledsec[1-9][0-9]
|
||||
*.eledsec[1-9][0-9]R
|
||||
*.eledsec[1-9][0-9][0-9]
|
||||
*.eledsec[1-9][0-9][0-9]R
|
||||
|
||||
# glossaries
|
||||
*.acn
|
||||
*.acr
|
||||
*.glg
|
||||
*.glo
|
||||
*.gls
|
||||
*.glsdefs
|
||||
|
||||
# gnuplottex
|
||||
*-gnuplottex-*
|
||||
|
||||
# gregoriotex
|
||||
*.gaux
|
||||
*.gtex
|
||||
|
||||
# htlatex
|
||||
*.4ct
|
||||
*.4tc
|
||||
*.idv
|
||||
*.lg
|
||||
*.trc
|
||||
*.xref
|
||||
|
||||
# hyperref
|
||||
*.brf
|
||||
|
||||
# knitr
|
||||
*-concordance.tex
|
||||
# TODO Comment the next line if you want to keep your tikz graphics files
|
||||
*.tikz
|
||||
*-tikzDictionary
|
||||
|
||||
# listings
|
||||
*.lol
|
||||
|
||||
# luatexja-ruby
|
||||
*.ltjruby
|
||||
|
||||
# makeidx
|
||||
*.idx
|
||||
*.ilg
|
||||
*.ind
|
||||
*.ist
|
||||
|
||||
# minitoc
|
||||
*.maf
|
||||
*.mlf
|
||||
*.mlt
|
||||
*.mtc[0-9]*
|
||||
*.slf[0-9]*
|
||||
*.slt[0-9]*
|
||||
*.stc[0-9]*
|
||||
|
||||
# minted
|
||||
_minted*
|
||||
*.pyg
|
||||
|
||||
# morewrites
|
||||
*.mw
|
||||
|
||||
# nomencl
|
||||
*.nlg
|
||||
*.nlo
|
||||
*.nls
|
||||
|
||||
# pax
|
||||
*.pax
|
||||
|
||||
# pdfpcnotes
|
||||
*.pdfpc
|
||||
|
||||
# sagetex
|
||||
*.sagetex.sage
|
||||
*.sagetex.py
|
||||
*.sagetex.scmd
|
||||
|
||||
# scrwfile
|
||||
*.wrt
|
||||
|
||||
# sympy
|
||||
*.sout
|
||||
*.sympy
|
||||
sympy-plots-for-*.tex/
|
||||
|
||||
# pdfcomment
|
||||
*.upa
|
||||
*.upb
|
||||
|
||||
# pythontex
|
||||
*.pytxcode
|
||||
pythontex-files-*/
|
||||
|
||||
# tcolorbox
|
||||
*.listing
|
||||
|
||||
# thmtools
|
||||
*.loe
|
||||
|
||||
# TikZ & PGF
|
||||
*.dpth
|
||||
*.md5
|
||||
*.auxlock
|
||||
|
||||
# todonotes
|
||||
*.tdo
|
||||
|
||||
# vhistory
|
||||
*.hst
|
||||
*.ver
|
||||
|
||||
# easy-todo
|
||||
*.lod
|
||||
|
||||
# xcolor
|
||||
*.xcp
|
||||
|
||||
# xmpincl
|
||||
*.xmpi
|
||||
|
||||
# xindy
|
||||
*.xdy
|
||||
|
||||
# xypic precompiled matrices
|
||||
*.xyc
|
||||
|
||||
# endfloat
|
||||
*.ttt
|
||||
*.fff
|
||||
|
||||
# Latexian
|
||||
TSWLatexianTemp*
|
||||
|
||||
## Editors:
|
||||
# WinEdt
|
||||
*.bak
|
||||
*.sav
|
||||
|
||||
# Texpad
|
||||
.texpadtmp
|
||||
|
||||
# LyX
|
||||
*.lyx~
|
||||
|
||||
# Kile
|
||||
*.backup
|
||||
|
||||
# KBibTeX
|
||||
*~[0-9]*
|
||||
|
||||
# auto folder when using emacs and auctex
|
||||
./auto/*
|
||||
*.el
|
||||
|
||||
# expex forward references with \gathertags
|
||||
*-tags.tex
|
||||
|
||||
# standalone packages
|
||||
*.sta
|
||||
|
||||
### LaTeX Patch ###
|
||||
# glossaries
|
||||
*.glstex
|
||||
|
||||
### Python ###
|
||||
# Byte-compiled / optimized / DLL files
|
||||
__pycache__/
|
||||
*.py[cod]
|
||||
*$py.class
|
||||
|
||||
# C extensions
|
||||
*.so
|
||||
|
||||
# Distribution / packaging
|
||||
.Python
|
||||
build/
|
||||
develop-eggs/
|
||||
dist/
|
||||
downloads/
|
||||
eggs/
|
||||
.eggs/
|
||||
lib/
|
||||
lib64/
|
||||
parts/
|
||||
sdist/
|
||||
var/
|
||||
wheels/
|
||||
pip-wheel-metadata/
|
||||
share/python-wheels/
|
||||
*.egg-info/
|
||||
.installed.cfg
|
||||
*.egg
|
||||
MANIFEST
|
||||
|
||||
# PyInstaller
|
||||
# Usually these files are written by a python script from a template
|
||||
# before PyInstaller builds the exe, so as to inject date/other infos into it.
|
||||
*.manifest
|
||||
*.spec
|
||||
|
||||
# Installer logs
|
||||
pip-log.txt
|
||||
pip-delete-this-directory.txt
|
||||
|
||||
# Unit test / coverage reports
|
||||
htmlcov/
|
||||
.tox/
|
||||
.nox/
|
||||
.coverage
|
||||
.coverage.*
|
||||
.cache
|
||||
nosetests.xml
|
||||
coverage.xml
|
||||
*.cover
|
||||
.hypothesis/
|
||||
.pytest_cache/
|
||||
|
||||
# Translations
|
||||
*.mo
|
||||
*.pot
|
||||
|
||||
# Django stuff:
|
||||
local_settings.py
|
||||
db.sqlite3
|
||||
|
||||
# Flask stuff:
|
||||
instance/
|
||||
.webassets-cache
|
||||
|
||||
# Scrapy stuff:
|
||||
.scrapy
|
||||
|
||||
# Sphinx documentation
|
||||
docs/_build/
|
||||
|
||||
# PyBuilder
|
||||
target/
|
||||
|
||||
# Jupyter Notebook
|
||||
|
||||
# IPython
|
||||
profile_default/
|
||||
ipython_config.py
|
||||
|
||||
# pyenv
|
||||
.python-version
|
||||
|
||||
# pipenv
|
||||
# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
|
||||
# However, in case of collaboration, if having platform-specific dependencies or dependencies
|
||||
# having no cross-platform support, pipenv may install dependencies that don’t work, or not
|
||||
# install all needed dependencies.
|
||||
#Pipfile.lock
|
||||
|
||||
# celery beat schedule file
|
||||
celerybeat-schedule
|
||||
|
||||
# SageMath parsed files
|
||||
*.sage.py
|
||||
|
||||
# Environments
|
||||
.env
|
||||
.venv
|
||||
env/
|
||||
venv/
|
||||
ENV/
|
||||
env.bak/
|
||||
venv.bak/
|
||||
|
||||
# Spyder project settings
|
||||
.spyderproject
|
||||
.spyproject
|
||||
|
||||
# Rope project settings
|
||||
.ropeproject
|
||||
|
||||
# mkdocs documentation
|
||||
/site
|
||||
|
||||
# mypy
|
||||
.mypy_cache/
|
||||
.dmypy.json
|
||||
dmypy.json
|
||||
|
||||
# Pyre type checker
|
||||
.pyre/
|
||||
|
||||
### TeX ###
|
||||
|
||||
# these rules might exclude image files for figures etc.
|
||||
# *.ps
|
||||
# *.eps
|
||||
# *.pdf
|
||||
|
||||
|
||||
|
||||
|
||||
# latexrun
|
||||
|
||||
# algorithms
|
||||
|
||||
# achemso
|
||||
|
||||
# amsthm
|
||||
|
||||
# beamer
|
||||
|
||||
# changes
|
||||
|
||||
# comment
|
||||
|
||||
# cprotect
|
||||
|
||||
# elsarticle (documentclass of Elsevier journals)
|
||||
|
||||
# endnotes
|
||||
|
||||
# fixme
|
||||
|
||||
# feynmf/feynmp
|
||||
|
||||
|
||||
# glossaries
|
||||
|
||||
# gnuplottex
|
||||
|
||||
# gregoriotex
|
||||
|
||||
# htlatex
|
||||
|
||||
# hyperref
|
||||
|
||||
# knitr
|
||||
# TODO Comment the next line if you want to keep your tikz graphics files
|
||||
|
||||
# listings
|
||||
|
||||
# luatexja-ruby
|
||||
|
||||
# makeidx
|
||||
|
||||
# minitoc
|
||||
|
||||
# minted
|
||||
|
||||
# morewrites
|
||||
|
||||
# nomencl
|
||||
|
||||
# pax
|
||||
|
||||
# pdfpcnotes
|
||||
|
||||
# sagetex
|
||||
|
||||
# scrwfile
|
||||
|
||||
# sympy
|
||||
|
||||
# pdfcomment
|
||||
|
||||
# pythontex
|
||||
|
||||
# tcolorbox
|
||||
|
||||
# thmtools
|
||||
|
||||
# TikZ & PGF
|
||||
|
||||
# todonotes
|
||||
|
||||
# vhistory
|
||||
|
||||
# easy-todo
|
||||
|
||||
# xcolor
|
||||
|
||||
# xmpincl
|
||||
|
||||
# xindy
|
||||
|
||||
# xypic precompiled matrices
|
||||
|
||||
# endfloat
|
||||
|
||||
# Latexian
|
||||
|
||||
# WinEdt
|
||||
|
||||
# Texpad
|
||||
|
||||
# LyX
|
||||
|
||||
# Kile
|
||||
|
||||
# KBibTeX
|
||||
|
||||
# auto folder when using emacs and auctex
|
||||
|
||||
# expex forward references with \gathertags
|
||||
|
||||
# standalone packages
|
||||
|
||||
### TeX Patch ###
|
||||
# glossaries
|
||||
|
||||
### Vim ###
|
||||
# Swap
|
||||
[._]*.s[a-v][a-z]
|
||||
[._]*.sw[a-p]
|
||||
[._]s[a-rt-v][a-z]
|
||||
[._]ss[a-gi-z]
|
||||
[._]sw[a-p]
|
||||
|
||||
# Session
|
||||
Session.vim
|
||||
|
||||
# Temporary
|
||||
.netrwhist
|
||||
*~
|
||||
# Auto-generated tag files
|
||||
tags
|
||||
# Persistent undo
|
||||
[._]*.un~
|
||||
|
||||
# End of https://www.gitignore.io/api/julia,jupyternotebook,jupyternotebooks,latex,python,tex,vim
|
||||
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|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 1,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"using Formatting\n",
|
||||
"using StatsBase\n",
|
||||
"using FFTW\n",
|
||||
"using Plots"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 10,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Histogram normalized\n"
|
||||
]
|
||||
},
|
||||
{
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"[0.08, 0.28, 0.16, 0.08, 0.08, 0.16, 0.04, 0.12]\n",
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"Cumsum Histogram normalized\n",
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"[0.08, 0.36, 0.52, 0.6, 0.68, 0.84, 0.88, 1.0]\n",
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"Prefered Histogram\n",
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"[0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125]\n",
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"out hist\n",
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"[0.125, 0.375, 0.625, 0.625, 0.75, 0.875, 1.0, 1.0]\n",
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"out color\n",
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"[0, 1, 2, 3, 4, 5, 6, 7]\n",
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"[1.0, 3.0, 5.0, 5.0, 6.0, 7.0, 8.0, 8.0]\n",
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"\n",
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"New Histogram\n",
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"[2, 0, 7, 0, 6, 2, 4, 4]\n",
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"New Histogram normalized\n",
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"[0.08, 0.0, 0.28, 0.0, 0.24, 0.08, 0.16, 0.16]\n",
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"New Cumsum Histogram normalized\n",
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" I_cau1 = [\n",
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" 5 0 0 1 2\n",
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" 2 1 5 1 2\n",
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" 7 1 5 1 2\n",
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" 7 4 5 4 3\n",
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" 7 1 6 1 3\n",
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" ]\n",
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"\n",
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" hist = fit(Histogram, reshape(I_cau1, (length(I_cau1))), nbins=8).weights\n",
|
||||
" normalized_hist = hist ./ sum(hist)\n",
|
||||
" cumsum_normalized_hist = cumsum(normalized_hist)\n",
|
||||
"\n",
|
||||
" println(\"Histogram normalized\")\n",
|
||||
" println(normalized_hist)\n",
|
||||
" println(\"Cumsum Histogram normalized\")\n",
|
||||
" println(cumsum_normalized_hist)\n",
|
||||
"\n",
|
||||
" prefered_hist = fit(Histogram, 0:7, nbins=8).weights\n",
|
||||
" normalized_prefered_hist = prefered_hist ./ sum(prefered_hist)\n",
|
||||
" cumsum_normalized_prefered_hist = cumsum(normalized_prefered_hist)\n",
|
||||
"\n",
|
||||
" println(\"Prefered Histogram\")\n",
|
||||
" println(normalized_prefered_hist)\n",
|
||||
" println(\"Cumsum Prefered Histogram\")\n",
|
||||
" println(cumsum_normalized_prefered_hist)\n",
|
||||
"\n",
|
||||
" # https://dsp.stackexchange.com/questions/16166/histogram-matching-of-two-images-using-cdf\n",
|
||||
" out_hist = zeros(8)\n",
|
||||
" out_color = zeros(8)\n",
|
||||
"\n",
|
||||
" for i in 1:length(out_color)\n",
|
||||
" for k in 1:length(cumsum_normalized_prefered_hist)\n",
|
||||
" if cumsum_normalized_prefered_hist[k] - cumsum_normalized_hist[i] < 0\n",
|
||||
" continue\n",
|
||||
" end\n",
|
||||
" out_hist[i] = cumsum_normalized_prefered_hist[k]\n",
|
||||
" out_color[i] = k\n",
|
||||
" break\n",
|
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" end\n",
|
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" end\n",
|
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"\n",
|
||||
" println(\"out hist\")\n",
|
||||
" println(out_hist)\n",
|
||||
" println(\"out color\")\n",
|
||||
" println([i for i=0:7])\n",
|
||||
" println(out_color)\n",
|
||||
"\n",
|
||||
" for idx in CartesianIndices(I_cau1)\n",
|
||||
" newcolor = out_color[I_cau1[idx] + 1]\n",
|
||||
" I_cau1[idx] = newcolor\n",
|
||||
" end\n",
|
||||
"\n",
|
||||
" display(I_cau1)\n",
|
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" println()\n",
|
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" hist = fit(Histogram, reshape(I_cau1, (length(I_cau1))), nbins=8).weights\n",
|
||||
" normalized_hist = hist ./ sum(hist)\n",
|
||||
" cumsum_normalized_hist = cumsum(normalized_hist)\n",
|
||||
"\n",
|
||||
" println(\"New Histogram\")\n",
|
||||
" println(hist)\n",
|
||||
" println(\"New Histogram normalized\")\n",
|
||||
" println(normalized_hist)\n",
|
||||
" println(\"New Cumsum Histogram normalized\")\n",
|
||||
" println(cumsum_normalized_hist)\n"
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]
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},
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" 1982.43,215.436 2126.43,215.436 2126.43,167.052 1982.43,167.052 1982.43,215.436 \n",
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},
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"execution_count": 18,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# h = fit(Histogram, reshape(I_cau1, (length(I_cau1))), nbins=8)\n",
|
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"bar(0:length(hist)-1, hist)"
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]
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},
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{
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"execution_count": 19,
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"<polyline clip-path=\"url(#clip9100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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"</g>\n",
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"</svg>\n"
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]
|
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},
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"bar(0:length(prefered_hist)-1, prefered_hist)"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
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"display_name": "Julia 1.2.0-DEV",
|
||||
"language": "julia",
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||||
"name": "julia-1.2"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.2.0"
|
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}
|
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},
|
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"nbformat": 4,
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"nbformat_minor": 2
|
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}
|
||||
443
julia_notebook/assignment.ipynb
Normal file
443
julia_notebook/assignment.ipynb
Normal file
File diff suppressed because one or more lines are too long
192
julia_notebook/convolution.ipynb
Normal file
192
julia_notebook/convolution.ipynb
Normal file
File diff suppressed because one or more lines are too long
150
julia_notebook/dct.ipynb
Normal file
150
julia_notebook/dct.ipynb
Normal file
@ -0,0 +1,150 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
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"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"using FFTW"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"dct (generic function with 1 method)"
|
||||
]
|
||||
},
|
||||
"execution_count": 4,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"function dct(f)\n",
|
||||
" function a(u, N)\n",
|
||||
" if u == 0\n",
|
||||
" sqrt(1/N)\n",
|
||||
" else\n",
|
||||
" sqrt(2/N)\n",
|
||||
" end\n",
|
||||
" end\n",
|
||||
"\n",
|
||||
" if ndims(f) == 1\n",
|
||||
" N = length(f)\n",
|
||||
" [a(u, N) * sum([x * cos(pi * u * (2i - 1)/ (2N)) for (i, x) in enumerate(f)]) for u=0:N - 1]\n",
|
||||
" elseif ndims(f) == 2\n",
|
||||
" N, M = size(f)\n",
|
||||
" [a(u, N) * a(v, M) * sum([f[x+1, y+1] * cos(pi * u * (2x + 1)/ (2N)) * cos(pi * v * (2y + 1) / (2M)) for x=0:N-1, y=0:M-1]) for u=0:N - 1, v=0:M-1]\n",
|
||||
" else\n",
|
||||
" error(\"What the hell man?\")\n",
|
||||
" end\n",
|
||||
"end"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 5,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8-element Array{Float64,1}:\n",
|
||||
" 12.727922061357857 \n",
|
||||
" -6.4423230227051365 \n",
|
||||
" -1.3322676295501878e-15\n",
|
||||
" -0.6734548009039396 \n",
|
||||
" 0.0 \n",
|
||||
" -0.20090290373599107 \n",
|
||||
" -2.6645352591003757e-15\n",
|
||||
" -0.05070232275964859 "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8-element Array{Float64,1}:\n",
|
||||
" 12.727922061357857 \n",
|
||||
" -6.442323022705137 \n",
|
||||
" 0.0 \n",
|
||||
" -0.6734548009039407 \n",
|
||||
" 0.0 \n",
|
||||
" -0.20090290373599654 \n",
|
||||
" 0.0 \n",
|
||||
" -0.050702322759645924"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Float64,2}:\n",
|
||||
" 260.0 -18.2216 -3.51701e-14 … -4.89869e-14 -0.143408 \n",
|
||||
" -145.773 -3.55271e-15 -1.77636e-15 3.01981e-14 1.02141e-14\n",
|
||||
" -4.14504e-14 5.32907e-15 0.0 0.0 1.77636e-15\n",
|
||||
" -15.2385 -3.55271e-15 3.55271e-15 -7.10543e-15 0.0 \n",
|
||||
" 1.6329e-14 -1.77636e-15 3.55271e-15 -8.88178e-16 9.76996e-15\n",
|
||||
" -4.54591 -5.32907e-15 0.0 … 0.0 5.9952e-15 \n",
|
||||
" -5.33831e-14 1.15463e-14 -6.21725e-15 -4.44089e-16 -1.33227e-15\n",
|
||||
" -1.14726 -2.66454e-15 -4.44089e-15 -2.22045e-15 2.66454e-15"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Float64,2}:\n",
|
||||
" 260.0 -18.2216 0.0 -1.90482 0.0 -0.568239 0.0 -0.143408\n",
|
||||
" -145.773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" -15.2385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" -4.54591 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n",
|
||||
" -1.14726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"display(dct(1:8))\n",
|
||||
"\n",
|
||||
"display(FFTW.dct(1:8))\n",
|
||||
"\n",
|
||||
"display(dct([(i-1)*8 + j for i=1:8, j=1:8]))\n",
|
||||
"\n",
|
||||
"display(FFTW.dct([(i-1)*8 + j for i=1:8,j=1:8]))\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.2.0-DEV",
|
||||
"language": "julia",
|
||||
"name": "julia-1.2"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.2.0"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
211
julia_notebook/dft_fft.ipynb
Normal file
211
julia_notebook/dft_fft.ipynb
Normal file
@ -0,0 +1,211 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"using FFTW"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 14,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"dft (generic function with 1 method)"
|
||||
]
|
||||
},
|
||||
"execution_count": 14,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"function dft(f)\n",
|
||||
" if ndims(f) == 1\n",
|
||||
" M = length(f)\n",
|
||||
" [sum([x * exp(-2im*pi*u * (idx - 1) / M ) for (idx, x) in enumerate(f)]) for u=0:M-1]\n",
|
||||
" elseif ndims(f) == 2\n",
|
||||
" M, N = size(f)\n",
|
||||
" [sum([f[x+1, y+1] * exp(-2im*pi*(u*x/M + v*y/M)) for x=0:M-1, y=0:N-1]) for u=0:M-1, v=0:N-1]\n",
|
||||
" else\n",
|
||||
" error(\"Wrong dimension\")\n",
|
||||
" end\n",
|
||||
"end "
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 15,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"fft2d (generic function with 1 method)"
|
||||
]
|
||||
},
|
||||
"execution_count": 15,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"function fft1d(array)\n",
|
||||
" #= https://en.wikipedia.org/wiki/Cooley%E2%80%93Tukey_FFT_algorithm\n",
|
||||
" #\n",
|
||||
" # Xk = Ek + e^(-2pi*i/N * k) * Ok\n",
|
||||
" #\n",
|
||||
" # Ek = Event DFT\n",
|
||||
" # Ok = Odd DFT\n",
|
||||
" #\n",
|
||||
" =#\n",
|
||||
" N = size(array)[1]\n",
|
||||
" if N == 1\n",
|
||||
" return array\n",
|
||||
" elseif N % 2 != 0\n",
|
||||
" error(\"Wrong dimension\")\n",
|
||||
" end\n",
|
||||
"\n",
|
||||
" # people count from zero while julia counts from 1\n",
|
||||
" # either way, it should be the same name\n",
|
||||
" even = fft1d(array[1:2:end])\n",
|
||||
" odd = fft1d(array[2:2:end])\n",
|
||||
" w = exp.(-2im * pi / N * [i for i=0:N/2-1])\n",
|
||||
" half1 = even .+ (odd .* w)\n",
|
||||
" half2 = even .- (odd .* w)\n",
|
||||
" vcat(half1,half2)\n",
|
||||
"end\n",
|
||||
"\n",
|
||||
"function fft2d(matrix)\n",
|
||||
" if ndims(matrix) != 2\n",
|
||||
" error(\"I dont handle other than 2 dimension matrix\")\n",
|
||||
" end\n",
|
||||
" matrix_fft1 = hcat(fft1d.(eachrow(matrix))...)\n",
|
||||
" hcat(fft1d.(eachrow(matrix_fft1))...)\n",
|
||||
"end"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8-element Array{Complex{Float64},1}:\n",
|
||||
" 36.0 + 0.0im \n",
|
||||
" -4.0 + 9.65685424949238im \n",
|
||||
" -4.0 + 4.0im \n",
|
||||
" -4.0 + 1.6568542494923806im\n",
|
||||
" -4.0 + 0.0im \n",
|
||||
" -4.0 - 1.6568542494923806im\n",
|
||||
" -4.0 - 4.0im \n",
|
||||
" -4.0 - 9.65685424949238im "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8-element Array{Complex{Float64},1}:\n",
|
||||
" 36.0 - 0.0im \n",
|
||||
" -4.0 + 9.65685424949238im \n",
|
||||
" -4.0 + 4.0im \n",
|
||||
" -4.0 + 1.6568542494923797im\n",
|
||||
" -4.0 + 0.0im \n",
|
||||
" -3.9999999999999996 - 1.6568542494923797im\n",
|
||||
" -3.9999999999999996 - 4.0im \n",
|
||||
" -3.9999999999999987 - 9.65685424949238im "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8-element Array{Complex{Float64},1}:\n",
|
||||
" 36.0 - 0.0im \n",
|
||||
" -4.000000000000003 + 9.65685424949238im \n",
|
||||
" -4.000000000000002 + 3.9999999999999982im \n",
|
||||
" -4.0 + 1.656854249492386im \n",
|
||||
" -4.0 - 3.91886975727153e-15im\n",
|
||||
" -4.0000000000000115 - 1.6568542494923912im \n",
|
||||
" -4.000000000000018 - 4.000000000000005im \n",
|
||||
" -3.9999999999999725 - 9.656854249492369im "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"2×8 Array{Complex{Float64},2}:\n",
|
||||
" 72.0+0.0im -8.0+19.3137im -8.0+8.0im … -8.0-8.0im -8.0-19.3137im\n",
|
||||
" 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"2×8 Array{Complex{Float64},2}:\n",
|
||||
" 72.0-0.0im -8.0+19.3137im -8.0+8.0im … -8.0-8.0im -8.0-19.3137im\n",
|
||||
" 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im 0.0+0.0im "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"2×8 Array{Complex{Float64},2}:\n",
|
||||
" 72.0-0.0im -8.0-7.83774e-15im … -8.0-3.39081e-13im\n",
|
||||
" 0.0-4.40873e-15im 0.0+4.89859e-16im 0.0-1.87804e-13im"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"display(fft(1:8))\n",
|
||||
"display(fft1d(1:8))\n",
|
||||
"display(dft(1:8))\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"display(fft([[1:8...] [1:8...]]'))\n",
|
||||
"display(fft2d([[1:8...] [1:8...]]'))\n",
|
||||
"display(dft([[1:8...] [1:8...]]'))\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.2.0-DEV",
|
||||
"language": "julia",
|
||||
"name": "julia-1.2"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.2.0"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
235
julia_notebook/fiters.ipynb
Normal file
235
julia_notebook/fiters.ipynb
Normal file
File diff suppressed because one or more lines are too long
544
julia_notebook/geometric.ipynb
Normal file
544
julia_notebook/geometric.ipynb
Normal file
File diff suppressed because one or more lines are too long
818
julia_notebook/histogram.ipynb
Normal file
818
julia_notebook/histogram.ipynb
Normal file
File diff suppressed because one or more lines are too long
824
julia_notebook/hough.ipynb
Normal file
824
julia_notebook/hough.ipynb
Normal file
File diff suppressed because one or more lines are too long
409
julia_notebook/jpeg.ipynb
Normal file
409
julia_notebook/jpeg.ipynb
Normal file
@ -0,0 +1,409 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 1,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"using Images\n",
|
||||
"using FFTW\n",
|
||||
"using Formatting"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Int64,2}:\n",
|
||||
" 1 2 6 7 15 16 28 29\n",
|
||||
" 3 5 8 14 17 27 30 43\n",
|
||||
" 4 9 13 18 26 31 42 44\n",
|
||||
" 10 12 19 25 32 41 45 54\n",
|
||||
" 11 20 24 33 40 46 53 55\n",
|
||||
" 21 23 34 39 47 52 56 61\n",
|
||||
" 22 35 38 48 51 57 60 62\n",
|
||||
" 36 37 49 50 58 59 63 64"
|
||||
]
|
||||
},
|
||||
"execution_count": 2,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"LUMINANCE_QUANTIZATION_TABLE = [\n",
|
||||
" 16 11 10 16 24 40 51 61 \n",
|
||||
" 12 12 14 19 26 58 60 55 \n",
|
||||
" 14 13 16 24 40 57 69 56 \n",
|
||||
" 14 17 22 29 51 87 80 62 \n",
|
||||
" 18 22 37 56 68 109 103 77 \n",
|
||||
" 24 35 55 64 81 104 113 92 \n",
|
||||
" 49 64 78 87 103 121 120 101 \n",
|
||||
" 72 92 95 98 112 100 103 99 \n",
|
||||
" ]\n",
|
||||
"\n",
|
||||
"ZIGZAG = [\n",
|
||||
" 0 1 5 6 14 15 27 28\n",
|
||||
" 2 4 7 13 16 26 29 42\n",
|
||||
" 3 8 12 17 25 30 41 43\n",
|
||||
" 9 11 18 24 31 40 44 53\n",
|
||||
" 10 19 23 32 39 45 52 54\n",
|
||||
" 20 22 33 38 46 51 55 60\n",
|
||||
" 21 34 37 47 50 56 59 61\n",
|
||||
" 35 36 48 49 57 58 62 63\n",
|
||||
" ] .+ 1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 3,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"to_zigzag (generic function with 1 method)"
|
||||
]
|
||||
},
|
||||
"execution_count": 3,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"function to_zigzag(block)\n",
|
||||
" out_block = zeros(eltype(block), size(ZIGZAG))\n",
|
||||
" for idx in CartesianIndices(ZIGZAG)\n",
|
||||
" out_block[ZIGZAG[idx]] = block[idx]\n",
|
||||
" # display(out_block)\n",
|
||||
" end\n",
|
||||
" reshape(out_block, (1,64))\n",
|
||||
"end"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 25,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"720×1280 Array{Float32,2}:\n",
|
||||
" 39.2166 39.4639 39.4639 39.0577 … 37.4843 37.4843 37.4843 37.4843\n",
|
||||
" 39.4639 39.4639 39.0577 39.0577 37.4843 37.4843 37.4843 37.4843\n",
|
||||
" 39.4639 39.0577 39.0577 39.0577 37.4843 37.4843 37.4843 37.4843\n",
|
||||
" 39.0577 39.0577 39.0577 39.9165 38.0348 37.4843 37.4843 37.4843\n",
|
||||
" 39.0577 39.9165 39.9165 39.9165 38.0348 37.176 37.4843 37.4843\n",
|
||||
" 39.9165 39.9165 39.9165 40.1639 … 38.0348 38.0348 37.4843 37.4843\n",
|
||||
" 39.9165 39.9165 39.9165 40.1639 38.0348 38.0348 37.4843 37.4843\n",
|
||||
" 39.9165 39.9165 39.9165 40.1639 38.1327 38.0348 38.3432 37.4843\n",
|
||||
" 39.4639 39.4639 39.9165 40.1639 39.4493 38.3432 38.0348 38.5484\n",
|
||||
" 39.4639 39.4639 39.0577 40.1639 39.4493 38.3432 38.0348 38.5484\n",
|
||||
" 39.4639 39.4639 39.0577 40.1639 … 39.4493 38.5905 38.0348 38.0348\n",
|
||||
" 39.4639 39.0577 39.0577 40.1639 39.1925 39.4493 38.5905 38.0348\n",
|
||||
" 39.0577 39.0577 39.0577 40.1639 39.1925 39.4493 38.5905 38.5905\n",
|
||||
" ⋮ ⋱ \n",
|
||||
" 30.5854 31.1969 31.7105 32.261 37.663 37.663 37.663 37.663 \n",
|
||||
" 31.3927 31.3927 31.4021 31.3927 38.2135 38.2135 38.2135 38.4608\n",
|
||||
" 31.64 31.64 31.64 30.5244 … 38.4608 38.4608 39.3196 39.3196\n",
|
||||
" 31.3738 30.515 30.515 29.6562 38.4608 38.4608 39.3196 39.3196\n",
|
||||
" 28.751 30.7666 30.7202 27.99 39.3196 39.3196 39.3196 39.3196\n",
|
||||
" 29.049 31.4253 28.8394 30.0572 38.4608 38.4608 38.4608 38.4608\n",
|
||||
" 29.6141 29.3899 26.2063 32.4233 38.2135 38.2135 38.2135 38.2135\n",
|
||||
" 29.7077 29.1984 33.8936 25.0958 … 37.663 37.663 37.663 37.663 \n",
|
||||
" 28.7364 32.2369 29.0447 29.6003 37.663 37.663 37.663 37.663 \n",
|
||||
" 32.5504 24.4422 29.8614 31.7749 37.663 37.663 37.663 37.663 \n",
|
||||
" 29.876 31.5507 29.8468 28.1386 37.3546 37.3546 37.3546 37.3546\n",
|
||||
" 31.5645 30.7108 31.397 29.6708 38.2135 38.2135 38.2135 37.3546"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Float32,2}:\n",
|
||||
" 55.4277 55.736 54.8772 54.8772 55.736 55.736 55.736 55.736 \n",
|
||||
" 56.2866 56.2866 57.4537 57.4537 56.5949 55.736 55.736 55.736 \n",
|
||||
" 57.9948 57.9948 57.1359 56.0813 55.2225 55.2225 55.736 56.5949\n",
|
||||
" 58.2421 58.2421 58.2421 58.2421 58.2421 58.0463 56.9401 56.9401\n",
|
||||
" 57.3833 58.4894 61.0659 62.7836 63.6424 61.6774 57.7989 55.2225\n",
|
||||
" 58.4894 58.4894 58.9326 60.6502 61.5091 61.0659 58.2421 56.0813\n",
|
||||
" 61.0659 59.6935 59.7914 59.1799 58.9326 58.0832 58.2421 57.7989\n",
|
||||
" 61.0659 62.27 64.0855 64.0246 62.3679 59.8009 58.2421 56.9401"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Float32,2}:\n",
|
||||
" -71.5723 -71.264 -72.1228 -72.1228 … -71.264 -71.264 -71.264 \n",
|
||||
" -70.7134 -70.7134 -69.5463 -69.5463 -71.264 -71.264 -71.264 \n",
|
||||
" -69.0052 -69.0052 -69.8641 -70.9187 -71.7775 -71.264 -70.4051\n",
|
||||
" -68.7579 -68.7579 -68.7579 -68.7579 -68.9537 -70.0599 -70.0599\n",
|
||||
" -69.6167 -68.5106 -65.9341 -64.2164 -65.3226 -69.2011 -71.7775\n",
|
||||
" -68.5106 -68.5106 -68.0674 -66.3498 … -65.9341 -68.7579 -70.9187\n",
|
||||
" -65.9341 -67.3065 -67.2086 -67.8201 -68.9168 -68.7579 -69.2011\n",
|
||||
" -65.9341 -64.73 -62.9145 -62.9754 -67.1991 -68.7579 -70.0599"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Float32,2}:\n",
|
||||
" -550.578 4.7784 … 0.00653681 0.205445 0.212533 \n",
|
||||
" -13.5756 -2.92463 -0.472033 -0.130214 -0.218505 \n",
|
||||
" -1.48771 1.21404 0.279535 -0.391432 0.330444 \n",
|
||||
" -0.673342 -2.97597 -0.222817 -0.0539551 -0.0560064\n",
|
||||
" 3.04324 0.102968 -0.474424 -0.0202312 0.0131407\n",
|
||||
" -3.61937 -0.509858 … -0.253103 -0.123185 -0.0314786\n",
|
||||
" -0.353786 0.00731296 -0.460769 -0.278703 -0.466107 \n",
|
||||
" -0.00664318 0.52792 -0.0775939 -0.022749 0.307393 "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"8×8 Array{Int32,2}:\n",
|
||||
" -34 0 -1 0 0 0 0 0\n",
|
||||
" -1 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0\n",
|
||||
" 0 0 0 0 0 0 0 0"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"1×64 Array{Int32,2}:\n",
|
||||
" -34 0 -1 0 0 -1 0 0 0 0 0 … 0 0 0 0 0 0 0 0 0 0 0 0"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"14400-element Array{Any,1}:\n",
|
||||
" -44\n",
|
||||
" -43\n",
|
||||
" -43\n",
|
||||
" -42\n",
|
||||
" -42\n",
|
||||
" -42\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -40\n",
|
||||
" -40\n",
|
||||
" -39\n",
|
||||
" ⋮\n",
|
||||
" -42\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -41\n",
|
||||
" -42\n",
|
||||
" -43\n",
|
||||
" -43\n",
|
||||
" -44\n",
|
||||
" -44\n",
|
||||
" -44\n",
|
||||
" -45"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"14400-element Array{Any,1}:\n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" ⋮ \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[-1, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[1, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] \n",
|
||||
" Int32[0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] "
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"720×1280 Array{Float32,2}:\n",
|
||||
" 141.368 141.226 141.226 141.956 … 143.855 143.855 143.855 143.855\n",
|
||||
" 141.226 141.226 141.956 141.956 143.855 143.855 143.855 143.855\n",
|
||||
" 141.226 141.956 141.956 141.956 143.855 143.855 143.855 143.855\n",
|
||||
" 141.956 141.956 141.956 141.956 145.025 143.855 143.855 143.855\n",
|
||||
" 141.956 141.956 141.956 141.956 145.025 145.025 143.855 143.855\n",
|
||||
" 141.956 141.956 141.956 141.813 … 145.025 145.025 143.855 143.855\n",
|
||||
" 141.956 141.956 141.956 141.813 145.025 145.025 143.855 143.855\n",
|
||||
" 141.956 141.956 141.956 141.813 145.464 145.025 143.855 143.855\n",
|
||||
" 141.226 141.226 141.956 141.813 143.713 143.855 145.025 144.728\n",
|
||||
" 141.226 141.226 141.956 141.813 143.713 143.855 145.025 144.728\n",
|
||||
" 141.226 141.226 141.956 141.813 … 143.713 143.713 145.025 145.025\n",
|
||||
" 141.226 141.956 141.956 141.813 143.861 143.713 143.713 145.025\n",
|
||||
" 141.956 141.956 141.956 141.813 143.861 143.713 143.713 143.713\n",
|
||||
" ⋮ ⋱ \n",
|
||||
" 130.487 130.63 130.333 131.503 138.299 138.299 138.299 138.299\n",
|
||||
" 131.508 131.508 131.503 131.508 139.469 139.469 139.469 139.326\n",
|
||||
" 131.366 131.366 131.366 131.514 … 139.326 139.326 139.326 139.326\n",
|
||||
" 131.519 131.519 131.519 131.519 139.326 139.326 139.326 139.326\n",
|
||||
" 130.059 133.853 132.392 130.498 139.326 139.326 139.326 139.326\n",
|
||||
" 133.853 130.498 130.503 133.271 139.326 139.326 139.326 139.326\n",
|
||||
" 132.535 131.673 134.006 134.879 139.469 139.469 139.469 139.469\n",
|
||||
" 130.498 133.271 135.022 131.673 … 138.299 138.299 138.299 138.299\n",
|
||||
" 132.546 133.995 131.376 130.064 138.299 138.299 138.299 138.299\n",
|
||||
" 130.344 132.546 132.392 133.271 138.299 138.299 138.299 138.299\n",
|
||||
" 129.905 132.409 134.879 134.874 139.469 139.469 139.469 139.469\n",
|
||||
" 134.879 132.398 130.514 129.032 139.469 139.469 139.469 139.469"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"720×1280 Array{Float32,2}:\n",
|
||||
" 115.448 114.641 114.641 114.938 … 115.459 115.459 115.459 115.459\n",
|
||||
" 114.641 114.641 114.938 114.938 115.459 115.459 115.459 115.459\n",
|
||||
" 114.641 114.938 114.938 114.938 115.459 115.459 115.459 115.459\n",
|
||||
" 114.938 114.938 114.938 114.938 115.684 115.459 115.459 115.459\n",
|
||||
" 114.938 114.938 114.938 114.938 115.684 115.684 115.459 115.459\n",
|
||||
" 114.938 114.938 114.938 114.131 … 115.684 115.684 115.459 115.459\n",
|
||||
" 114.938 114.938 114.938 114.131 115.684 115.684 115.459 115.459\n",
|
||||
" 114.938 114.938 114.938 114.131 115.612 115.684 115.459 115.459\n",
|
||||
" 114.641 114.641 114.938 114.131 114.652 115.459 115.684 116.562\n",
|
||||
" 114.641 114.641 114.938 114.131 114.652 115.459 115.684 116.562\n",
|
||||
" 114.641 114.641 114.938 114.131 … 114.652 114.652 115.684 115.684\n",
|
||||
" 114.641 114.938 114.938 114.131 114.213 114.652 114.652 115.684\n",
|
||||
" 114.938 114.938 114.938 114.131 114.213 114.652 114.652 114.652\n",
|
||||
" ⋮ ⋱ \n",
|
||||
" 128.011 128.818 129.696 129.921 114.702 114.702 114.702 114.702\n",
|
||||
" 128.675 128.675 129.921 128.675 114.927 114.927 114.927 114.12 \n",
|
||||
" 127.868 127.868 127.868 127.429 … 114.12 114.12 114.12 114.12 \n",
|
||||
" 126.182 126.182 126.182 126.182 114.12 114.12 114.12 114.12 \n",
|
||||
" 125.59 127.878 127.286 125.518 114.12 114.12 114.12 114.12 \n",
|
||||
" 127.878 125.518 124.272 127.143 114.12 114.12 114.12 114.12 \n",
|
||||
" 128.093 124.497 126.193 127.296 114.927 114.927 114.927 114.927\n",
|
||||
" 125.518 127.143 128.103 124.497 … 114.702 114.702 114.702 114.702\n",
|
||||
" 125.6 128.685 125.375 124.343 114.702 114.702 114.702 114.702\n",
|
||||
" 127.204 125.6 127.286 127.143 114.702 114.702 114.702 114.702\n",
|
||||
" 127.275 123.547 127.296 128.543 114.927 114.927 114.927 114.927\n",
|
||||
" 127.296 126.04 121.78 126.172 114.927 114.927 114.927 114.927"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"img = load(\"../images/f124074.jpg\")\n",
|
||||
"img_ycbcr = channelview(YCbCr.(img))\n",
|
||||
"\n",
|
||||
"for c in 1:3\n",
|
||||
" channel = img_ycbcr[c,:,:]\n",
|
||||
" row, col = size(channel)\n",
|
||||
"\n",
|
||||
" display(channel)\n",
|
||||
" \n",
|
||||
" DC = []\n",
|
||||
" AC = []\n",
|
||||
"\n",
|
||||
" for i in 1:8:row\n",
|
||||
" for j in 1:8:col\n",
|
||||
" block = channel[i:i+7, j:j+7]\n",
|
||||
"\n",
|
||||
" block_shifted = block .- 127\n",
|
||||
" block_dct = FFTW.dct(block_shifted)\n",
|
||||
"\n",
|
||||
" block_quantization = round.(Int32, block_dct ./ LUMINANCE_QUANTIZATION_TABLE)\n",
|
||||
" # block_quantization = block_dct ./ LUMINANCE_QUANTIZATION_TABLE\n",
|
||||
" block_zigzag = to_zigzag(block_quantization)\n",
|
||||
"\n",
|
||||
" if c == 1 && i == 1 + 8*10 && j == 1 + 8*3\n",
|
||||
" display(block)\n",
|
||||
" display(block_shifted)\n",
|
||||
" display(block_dct)\n",
|
||||
" display(block_quantization)\n",
|
||||
" display(block_zigzag)\n",
|
||||
" end\n",
|
||||
"\n",
|
||||
" # block_zigzag = collect(block_zigzag)\n",
|
||||
" push!(DC, block_zigzag[1])\n",
|
||||
" push!(AC, block_zigzag[2:end])\n",
|
||||
" end\n",
|
||||
" end\n",
|
||||
"\n",
|
||||
" if c == 1\n",
|
||||
" display(DC)\n",
|
||||
" display(AC)\n",
|
||||
" end\n",
|
||||
"end\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Julia 1.2.0-DEV",
|
||||
"language": "julia",
|
||||
"name": "julia-1.2"
|
||||
},
|
||||
"language_info": {
|
||||
"file_extension": ".jl",
|
||||
"mimetype": "application/julia",
|
||||
"name": "julia",
|
||||
"version": "1.2.0"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
285
julia_scripts/1611617_NguyenAnhKhoa.jl
Normal file
285
julia_scripts/1611617_NguyenAnhKhoa.jl
Normal file
@ -0,0 +1,285 @@
|
||||
using Images
|
||||
using Formatting
|
||||
using StatsBase
|
||||
using FFTW
|
||||
|
||||
function genMatrix(what, params...)
|
||||
params = map(x->parse(Float32, x), params)
|
||||
M = zeros(Float32, (3,3))
|
||||
M[3, 3] = 1
|
||||
|
||||
if what == "scale"
|
||||
if length(params) < 2
|
||||
error("Scale requires two parameter (x, y)")
|
||||
end
|
||||
x, y = params
|
||||
printfmt("Scale with x = {}; y = {}\n", x, y)
|
||||
M[1, 1] = x
|
||||
M[2, 2] = y
|
||||
elseif what == "translate"
|
||||
if length(params) < 2
|
||||
error("Translate requires two parameter (dx, dy)")
|
||||
end
|
||||
dx, dy = params
|
||||
M[1, 1] = 1
|
||||
M[2, 2] = 1
|
||||
M[1, 3] = dx
|
||||
M[2, 3] = dy
|
||||
elseif what == "rotate"
|
||||
if length(params) < 1
|
||||
error("Rotate requires one parameter (theta, isRadian: true)")
|
||||
end
|
||||
theta = params[1]
|
||||
isRadian = 1
|
||||
if length(params) >= 2
|
||||
isRadian = params[2]
|
||||
end
|
||||
|
||||
if isRadian == 1
|
||||
M[1, 1] = cos(theta)
|
||||
M[1, 2] = -sin(theta)
|
||||
M[2, 1] = sin(theta)
|
||||
M[2, 2] = cos(theta)
|
||||
else
|
||||
M[1, 1] = cosd(theta)
|
||||
M[1, 2] = -sind(theta)
|
||||
M[2, 1] = sind(theta)
|
||||
M[2, 2] = cosd(theta)
|
||||
end
|
||||
elseif what == "shear"
|
||||
if length(params) < 4
|
||||
error("Rotate requires four parameter (a, b, c, d)")
|
||||
end
|
||||
a,b,c,d = params
|
||||
M[1, 1] = a
|
||||
M[1, 2] = b
|
||||
M[2, 1] = c
|
||||
M[2, 2] = d
|
||||
else
|
||||
error(printfmt("Matrix of {} is unknown\n", what))
|
||||
end
|
||||
M
|
||||
end
|
||||
|
||||
function conv(in, kernel)
|
||||
|
||||
row, col = size(in)
|
||||
krow, kcol = size(kernel)
|
||||
rowPad, colPad = round(Int32, krow/2, RoundDown),round(Int32, kcol/2, RoundDown)
|
||||
|
||||
# feature_maps = zeros(eltype(in), (row + rowPad * 2, col + colPad * 2))
|
||||
feature_maps = [
|
||||
5 5 0 0 1 2 2
|
||||
5 5 0 0 1 2 2
|
||||
2 2 1 5 1 2 2
|
||||
7 7 1 5 1 2 2
|
||||
7 7 4 5 4 3 3
|
||||
7 7 1 6 1 3 3
|
||||
7 7 1 6 1 3 3
|
||||
]
|
||||
out = zeros(eltype(in), size(in))
|
||||
|
||||
colStartIdx = colPad + 1
|
||||
colEndIdx = colPad + col
|
||||
rowStartIdx = rowPad + 1
|
||||
rowEndIdx = rowPad + row
|
||||
|
||||
# setup feature map and kernel
|
||||
feature_maps[rowStartIdx:rowEndIdx, colStartIdx:colEndIdx] = in
|
||||
kernel = rot180(kernel)
|
||||
|
||||
for i in rowStartIdx:rowEndIdx
|
||||
for j in colStartIdx:colEndIdx
|
||||
part = feature_maps[i-rowPad:i-rowPad+krow-1, j-colPad:j-colPad+kcol-1]
|
||||
v = sum(part .* kernel)
|
||||
if (v < 0)
|
||||
v = 0
|
||||
elseif (v > 1)
|
||||
v = 1
|
||||
end
|
||||
out[i-rowPad,j-colPad] = v
|
||||
end
|
||||
end
|
||||
# TODO: normalize output
|
||||
out ./ maximum(out)
|
||||
end
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
I_cau1 = [
|
||||
5 0 0 1 2
|
||||
2 1 5 1 2
|
||||
7 1 5 1 2
|
||||
7 4 5 4 3
|
||||
7 1 6 1 3
|
||||
]
|
||||
|
||||
sobel_x_kernel = [
|
||||
-1 0 1
|
||||
-2 0 2
|
||||
-1 0 1
|
||||
]
|
||||
sobel_y_kernel = rotl90(sobel_x_kernel)
|
||||
|
||||
# I_Gx = imfilter(I_cau1, centered(reflect(sobel_x_kernel)), "reflect")
|
||||
# I_Gy = imfilter(I_cau1, centered(reflect(sobel_y_kernel)), "reflect")
|
||||
I_Gx = conv(I_cau1, sobel_x_kernel)
|
||||
I_Gy = conv(I_cau1, sobel_y_kernel)
|
||||
# I_G = round.(Int32, sqrt.((I_Gx .^ 2) .* (I_Gy .^ 2)))
|
||||
|
||||
printfmtln("Vector G(0,0) = ({}, {})", I_Gx[1,1], I_Gy[1,1])
|
||||
printfmtln("Vector G(1,1) = ({}, {})", I_Gx[2,2], I_Gy[2,2])
|
||||
printfmtln("Vector G(0,3) = ({}, {})", I_Gx[1,4], I_Gy[1,4])
|
||||
|
||||
hist = fit(Histogram, reshape(I_cau1, (length(I_cau1))), nbins=8).weights
|
||||
normalized_hist = hist ./ sum(hist)
|
||||
cumsum_normalized_hist = cumsum(normalized_hist)
|
||||
|
||||
println("Histogram normalized")
|
||||
println(normalized_hist)
|
||||
println("Cumsum Histogram normalized")
|
||||
println(cumsum_normalized_hist)
|
||||
|
||||
prefered_hist = fit(Histogram, 0:7, nbins=8).weights
|
||||
normalized_prefered_hist = prefered_hist ./ sum(prefered_hist)
|
||||
cumsum_normalized_prefered_hist = cumsum(normalized_prefered_hist)
|
||||
|
||||
println("Prefered Histogram")
|
||||
println(normalized_prefered_hist)
|
||||
println("Cumsum Prefered Histogram")
|
||||
println(cumsum_normalized_prefered_hist)
|
||||
|
||||
# https://dsp.stackexchange.com/questions/16166/histogram-matching-of-two-images-using-cdf
|
||||
out_hist = zeros(8)
|
||||
out_color = zeros(8)
|
||||
|
||||
for i in 1:length(out_color)
|
||||
for k in 1:length(cumsum_normalized_prefered_hist)
|
||||
if cumsum_normalized_prefered_hist[k] - cumsum_normalized_hist[i] < 0
|
||||
continue
|
||||
end
|
||||
out_hist[i] = cumsum_normalized_prefered_hist[k]
|
||||
out_color[i] = k
|
||||
break
|
||||
end
|
||||
end
|
||||
|
||||
println("out hist")
|
||||
println(out_hist)
|
||||
println("out color")
|
||||
println([i for i=0:7])
|
||||
println(out_color)
|
||||
|
||||
for idx in CartesianIndices(I_cau1)
|
||||
newcolor = out_color[I_cau1[idx] + 1]
|
||||
I_cau1[idx] = newcolor
|
||||
end
|
||||
|
||||
display(I_cau1)
|
||||
println()
|
||||
hist = fit(Histogram, reshape(I_cau1, (length(I_cau1))), nbins=8).weights
|
||||
normalized_hist = hist ./ sum(hist)
|
||||
cumsum_normalized_hist = cumsum(normalized_hist)
|
||||
|
||||
println("New Histogram normalized")
|
||||
println(normalized_hist)
|
||||
println("New Cumsum Histogram normalized")
|
||||
println(cumsum_normalized_hist)
|
||||
|
||||
println("==============================")
|
||||
|
||||
fx = [1 3]
|
||||
N = length(fx)
|
||||
dft_fx = [exp(-2im*pi*u*x / N) for u=0:N-1, x=0:N-1]
|
||||
fx_dft = dft_fx * fx'
|
||||
|
||||
println("Ma tran he co dft")
|
||||
display(dft_fx)
|
||||
println()
|
||||
println("Bien doi fft cua fx = [1, 3]")
|
||||
println(fx_dft)
|
||||
|
||||
println("==============================")
|
||||
|
||||
function alpha(u, N)
|
||||
if u == 0
|
||||
sqrt(1/N)
|
||||
else
|
||||
sqrt(2/N)
|
||||
end
|
||||
end
|
||||
|
||||
fx = [1 0 1 0] # pad with 0
|
||||
N = 4
|
||||
dct_fx = [alpha(u, N) * cos((2*x + 1) * u * pi / (2N)) for u=0:N-1, x=0:N - 1]
|
||||
fx_dct = dct_fx * fx'
|
||||
|
||||
println("Ma tran he co dct voi N = 4 tren fx")
|
||||
display(dct_fx)
|
||||
println()
|
||||
println("Bien doi dct 4 diem cua fx = [1, 0, 1]")
|
||||
println(fx_dct)
|
||||
|
||||
println("==============================")
|
||||
|
||||
M_move_00 = genMatrix("translate", "-3", "-3")
|
||||
M_rotate_25 = genMatrix("rotate", "45", "0")
|
||||
M_move_33 = genMatrix("translate", "3", "3")
|
||||
|
||||
M = M_move_33 * M_rotate_25 * M_move_00
|
||||
|
||||
println("Ma tran M de xoay hinh xung quanh (3,3)")
|
||||
display(M)
|
||||
println()
|
||||
|
||||
new_idx = round.(Int32, inv(M) * [2 3 1]')
|
||||
printfmtln("Toa do Io(2, 3) co gia tri bang voi I({}, {})", new_idx[1:2]...)
|
||||
|
||||
end
|
||||
|
||||
|
||||
# SAMPLE OUTPUT
|
||||
#=
|
||||
|
||||
Vector G(0,0) = (0.0, 0.0)
|
||||
Vector G(1,1) = (1.0, 1.0)
|
||||
Vector G(0,3) = (1.0, 0.0)
|
||||
Histogram
|
||||
Dict{Int64,Float64} with 8 entries:
|
||||
0 => 0.08
|
||||
4 => 0.08
|
||||
7 => 0.12
|
||||
2 => 0.16
|
||||
3 => 0.08
|
||||
5 => 0.16
|
||||
6 => 0.04
|
||||
1 => 0.28
|
||||
==============================
|
||||
Ma tran he co dft
|
||||
2×2 Array{Complex{Float64},2}:
|
||||
1.0-0.0im 1.0-0.0im
|
||||
1.0-0.0im -1.0-1.22465e-16im
|
||||
Bien doi fft cua fx = [1, 3]
|
||||
2×1 Array{Complex{Float64},2}:
|
||||
4.0 + 0.0im
|
||||
-2.0 - 3.6739403974420594e-16im
|
||||
==============================
|
||||
Ma tran he co dct voi N = 4 tren fx
|
||||
4×3 Array{Float64,2}:
|
||||
0.5 0.5 0.5
|
||||
0.653281 0.270598 -0.270598
|
||||
0.5 -0.5 -0.5
|
||||
0.270598 -0.653281 0.653281
|
||||
Bien doi dct 4 diem cua fx = [1, 0, 1]
|
||||
4×1 Array{Float64,2}:
|
||||
1.0
|
||||
0.3826834323650898
|
||||
0.0
|
||||
0.9238795325112867
|
||||
==============================
|
||||
Ma tran M de xoay hinh xung quanh (3,3)
|
||||
3×3 Array{Float32,2}:
|
||||
0.707107 -0.707107 3.0
|
||||
0.707107 0.707107 -1.24264
|
||||
0.0 0.0 1.0
|
||||
Toa do Io(2, 3) co gia tri bang voi I(2, 4)
|
||||
|
||||
=#
|
||||
0
julia_scripts/chessboard.jl
Normal file
0
julia_scripts/chessboard.jl
Normal file
77
julia_scripts/convolution.jl
Normal file
77
julia_scripts/convolution.jl
Normal file
@ -0,0 +1,77 @@
|
||||
module Convole
|
||||
using Formatting
|
||||
|
||||
export conv
|
||||
|
||||
function padSize(kernelSize)
|
||||
row, col = kernelSize
|
||||
round(Int32, row/2, RoundDown),round(Int32, col/2, RoundDown)
|
||||
end
|
||||
|
||||
function conv(in, kernel)
|
||||
|
||||
row, col = size(in)
|
||||
krow, kcol = size(kernel)
|
||||
rowPad, colPad = padSize(size(kernel))
|
||||
|
||||
feature_maps = zeros(eltype(in), (row + rowPad * 2, col + colPad * 2))
|
||||
out = zeros(eltype(in), size(in))
|
||||
|
||||
colStartIdx = colPad + 1
|
||||
colEndIdx = colPad + col
|
||||
rowStartIdx = rowPad + 1
|
||||
rowEndIdx = rowPad + row
|
||||
|
||||
# setup feature map and kernel
|
||||
feature_maps[rowStartIdx:rowEndIdx, colStartIdx:colEndIdx] = in
|
||||
kernel = rot180(kernel)
|
||||
|
||||
for i in rowStartIdx:rowEndIdx
|
||||
for j in colStartIdx:colEndIdx
|
||||
part = feature_maps[i-rowPad:i-rowPad+krow-1, j-colPad:j-colPad+kcol-1]
|
||||
v = sum(part .* kernel)
|
||||
if (v < 0)
|
||||
v = 0
|
||||
elseif (v > 1)
|
||||
v = 1
|
||||
end
|
||||
out[i-rowPad,j-colPad] = v
|
||||
end
|
||||
end
|
||||
# TODO: normalize output
|
||||
out ./ maximum(out)
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
using .Convole
|
||||
in = [1 2 3; 4 5 6; 7 8 9]
|
||||
kernel = [-1 -2 -1; 0 0 0; 1 2 1]
|
||||
println("Input")
|
||||
display(in)
|
||||
println()
|
||||
println("Kernel")
|
||||
display(kernel)
|
||||
println()
|
||||
println("Output")
|
||||
display(conv(in, kernel))
|
||||
println()
|
||||
|
||||
if (length(ARGS) < 1)
|
||||
return
|
||||
end
|
||||
|
||||
println("image convolution")
|
||||
gaussian_kernel = [
|
||||
1 4 7 4 1
|
||||
4 16 26 16 4
|
||||
7 26 41 26 7
|
||||
4 16 26 16 4
|
||||
1 4 7 4 1
|
||||
] ./ 273
|
||||
img = load(ARGS[1])
|
||||
img_gray = Gray.(img)
|
||||
img_blur = conv(img_gray, gaussian_kernel)
|
||||
save("img_blur_convole.jpg", img_blur)
|
||||
end
|
||||
33
julia_scripts/dct.jl
Normal file
33
julia_scripts/dct.jl
Normal file
@ -0,0 +1,33 @@
|
||||
using FFTW
|
||||
|
||||
function dct(f)
|
||||
function a(u, N)
|
||||
if u == 0
|
||||
sqrt(1/N)
|
||||
else
|
||||
sqrt(2/N)
|
||||
end
|
||||
end
|
||||
|
||||
if ndims(f) == 1
|
||||
N = length(f)
|
||||
[a(u, N) * sum([x * cos(pi * u * (2i - 1)/ (2N)) for (i, x) in enumerate(f)]) for u=0:N - 1]
|
||||
elseif ndims(f) == 2
|
||||
N, M = size(f)
|
||||
[a(u, N) * a(v, M) * sum([f[x+1, y+1] * cos(pi * u * (2x + 1)/ (2N)) * cos(pi * v * (2y + 1) / (2M)) for x=0:N-1, y=0:M-1]) for u=0:N - 1, v=0:M-1]
|
||||
else
|
||||
error("What the hell man?")
|
||||
end
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
display(dct(1:8))
|
||||
println()
|
||||
display(FFTW.dct(1:8))
|
||||
println()
|
||||
|
||||
display(dct([(i-1)*8 + j for i=1:8, j=1:8]))
|
||||
println()
|
||||
display(FFTW.dct([(i-1)*8 + j for i=1:8,j=1:8]))
|
||||
println()
|
||||
end
|
||||
93
julia_scripts/fft.jl
Normal file
93
julia_scripts/fft.jl
Normal file
@ -0,0 +1,93 @@
|
||||
include("showpicture.jl")
|
||||
|
||||
using FFTW
|
||||
using Images
|
||||
using ImageView
|
||||
using Plots
|
||||
|
||||
using .Showpicture
|
||||
|
||||
function dft(f)
|
||||
if ndims(f) == 1
|
||||
M = length(f)
|
||||
[sum([x * exp(-2im*pi*u * (idx - 1) / M ) for (idx, x) in enumerate(f)]) for u=0:M-1]
|
||||
elseif ndims(f) == 2
|
||||
M, N = size(f)
|
||||
[sum([f[x+1, y+1] * exp(-2im*pi*(u*x/M + v*y/M)) for x=0:M-1, y=0:N-1]) for u=0:M-1, v=0:N-1]
|
||||
else
|
||||
error("Wrong dimension")
|
||||
end
|
||||
|
||||
# mesh = [i * j for i=0:N-1, j=0:N-1]
|
||||
# W = exp.(-2im * pi * mesh / N)
|
||||
# W * f
|
||||
|
||||
end
|
||||
|
||||
function fft1d(array)
|
||||
#= https://en.wikipedia.org/wiki/Cooley%E2%80%93Tukey_FFT_algorithm
|
||||
#
|
||||
# Xk = Ek + e^(-2pi*i/N * k) * Ok
|
||||
#
|
||||
# Ek = Event DFT
|
||||
# Ok = Odd DFT
|
||||
#
|
||||
=#
|
||||
N = size(array)[1]
|
||||
if N == 1
|
||||
return array
|
||||
elseif N % 2 != 0
|
||||
error("Wrong dimension")
|
||||
end
|
||||
|
||||
# people count from zero while julia counts from 1
|
||||
# either way, it should be the same name
|
||||
even = fft1d(array[1:2:end])
|
||||
odd = fft1d(array[2:2:end])
|
||||
w = exp.(-2im * pi / N * [i for i=0:N/2-1])
|
||||
half1 = even .+ (odd .* w)
|
||||
half2 = even .- (odd .* w)
|
||||
vcat(half1,half2)
|
||||
end
|
||||
|
||||
function fft2d(matrix)
|
||||
if ndims(matrix) != 2
|
||||
error("I dont handle other than 2 dimension matrix")
|
||||
end
|
||||
matrix_fft1 = hcat(fft1d.(eachrow(matrix))...)
|
||||
hcat(fft1d.(eachrow(matrix_fft1))...)
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
if (length(ARGS) < 1)
|
||||
println("fft library")
|
||||
display(fft(1:8))
|
||||
println()
|
||||
println("fft own implemenation")
|
||||
display(fft1d(1:8))
|
||||
println()
|
||||
println("DFT1D")
|
||||
display(dft(1:8))
|
||||
println()
|
||||
|
||||
println("====================")
|
||||
|
||||
println("fft2d library")
|
||||
display(fft([[1:8...] [1:8...]]'))
|
||||
println()
|
||||
println("fft2d own implemenation")
|
||||
display(fft2d([[1:8...] [1:8...]]'))
|
||||
println()
|
||||
println("DFT2D")
|
||||
display(dft([[1:8...] [1:8...]]'))
|
||||
println()
|
||||
else
|
||||
img = load(ARGS[1])
|
||||
img_gray = Float32.(Gray.(img))
|
||||
|
||||
# img_fft = fft2d(Gray.(img))
|
||||
img_fft = fftshift(fft(img_gray))
|
||||
normalize = log.(abs.(img_fft)) .+ 1
|
||||
showpicture(normalize)
|
||||
end
|
||||
end
|
||||
68
julia_scripts/filter.jl
Normal file
68
julia_scripts/filter.jl
Normal file
@ -0,0 +1,68 @@
|
||||
using FileIO
|
||||
using Images, ImageView
|
||||
using Colors
|
||||
using Formatting
|
||||
using FFTW
|
||||
|
||||
function idealFilter(r, isLow, threshold)
|
||||
if isLow
|
||||
r .<= threshold
|
||||
else
|
||||
r .> threshold
|
||||
end
|
||||
end
|
||||
|
||||
function gaussianFilter(r, isLow, threshold)
|
||||
if isLow
|
||||
exp.(-(r.^2) ./ 2*(threshold^2))
|
||||
else
|
||||
1 .- exp.(-(r.^2) ./ 2*(threshold^2))
|
||||
end
|
||||
end
|
||||
|
||||
function butterworthFilter(r, isLow, threshold, n)
|
||||
if isLow
|
||||
1 ./ (1 .+ (r ./ threshold) .^ (2 * n))
|
||||
else
|
||||
1 ./ (1 .+ (threshold ./ r) .^ (2 * n))
|
||||
end
|
||||
end
|
||||
|
||||
function laplacianFilter(r, isLow, threshold)
|
||||
-r.^2
|
||||
end
|
||||
|
||||
function filterFactory(name, shape, isLow, threshold, other)
|
||||
n, m = shape
|
||||
r = sqrt.([i^2 + j^2 for i=-n/2:n/2-1, j=-m/2:m/2-1])
|
||||
|
||||
if name == "Ideal"
|
||||
idealFilter(r, isLow, threshold)
|
||||
elseif name == "Gaussian"
|
||||
gaussianFilter(r, isLow, threshold)
|
||||
elseif name == "Butterworth"
|
||||
butterworthFilter(r, isLow, threshold, other)
|
||||
elseif name == "Laplacian"
|
||||
laplacianFilter(r, isLow, threshold)
|
||||
else
|
||||
error("Filter not found")
|
||||
end
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
imagePath = ARGS[1]
|
||||
filterName = ARGS[2]
|
||||
filterLow = ARGS[3] .== "true"
|
||||
filterThreshold = parse(UInt32, ARGS[4])
|
||||
filterOther = parse(UInt32, ARGS[5])
|
||||
|
||||
img = load(imagePath)
|
||||
img_gray = Float32.(Gray.(img))
|
||||
filter = filterFactory(filterName, size(img_gray), filterLow, filterThreshold, filterOther)
|
||||
#= display(filter) =#
|
||||
#= println() =#
|
||||
img_fft = fftshift(fft(img_gray))
|
||||
out = abs.(real.(ifft(img_fft .* filter)))
|
||||
filename = format("filter_{}_{}_{}_{}.png", imagePath, filterName, filterLow, filterThreshold)
|
||||
save(filename, out)
|
||||
end
|
||||
173
julia_scripts/geometric.jl
Normal file
173
julia_scripts/geometric.jl
Normal file
@ -0,0 +1,173 @@
|
||||
using FileIO
|
||||
using Images, ImageView
|
||||
using Formatting
|
||||
|
||||
function roundAround(x, low, high)
|
||||
if x < low
|
||||
low
|
||||
elseif x > high
|
||||
high
|
||||
else
|
||||
round(Int32, x)
|
||||
end
|
||||
end
|
||||
|
||||
function forwardTransform(M, P)
|
||||
n, m = size(P)
|
||||
out = zeros(eltype(P), n, m)
|
||||
for index in CartesianIndices(P)
|
||||
x, y = Tuple(index)
|
||||
newindex = M * [x; y; 1]
|
||||
x1 = roundAround(newindex[1], 1, n)
|
||||
y1 = roundAround(newindex[2], 1, m)
|
||||
out[x1, y1] = P[x, y]
|
||||
end
|
||||
out
|
||||
end
|
||||
|
||||
function backwardTransform(algo, M, P)
|
||||
M = inv(M)
|
||||
n, m = size(P)
|
||||
out = zeros(eltype(P), n, m)
|
||||
for index in CartesianIndices(out)
|
||||
x, y = Tuple(index)
|
||||
sourceIndex = M * [x; y; 1]
|
||||
sourceIndex ./= sourceIndex[3]
|
||||
x1 = round(Int32, sourceIndex[1])
|
||||
y1 = round(Int32, sourceIndex[2])
|
||||
#= if ((x == 1 && y == 1) || =#
|
||||
#= (x == 1 && y == m) || =#
|
||||
#= (x == n && y == 1) || =#
|
||||
#= (x == n && y == m)) =#
|
||||
#= println("AAAAAAAAAAA") =#
|
||||
#= display([x; y; 1]) =#
|
||||
#= println() =#
|
||||
#= display(sourceIndex) =#
|
||||
#= println() =#
|
||||
#= end =#
|
||||
if (x1 < 1 || y1 < 1 || x1 > n || y1 > m)
|
||||
continue
|
||||
end
|
||||
if (sourceIndex[1] > n || sourceIndex[2] > m)
|
||||
continue
|
||||
end
|
||||
out[x, y] = P[x1, y1]
|
||||
end
|
||||
out
|
||||
end
|
||||
|
||||
function genMatrix(what, params...)
|
||||
params = map(x->parse(Float32, x), params)
|
||||
M = zeros(Float32, (3,3))
|
||||
M[3, 3] = 1
|
||||
|
||||
if what == "scale"
|
||||
if length(params) < 2
|
||||
error("Scale requires two parameter (x, y)")
|
||||
end
|
||||
x, y = params
|
||||
printfmt("Scale with x = {}; y = {}\n", x, y)
|
||||
M[1, 1] = x
|
||||
M[2, 2] = y
|
||||
elseif what == "translate"
|
||||
if length(params) < 2
|
||||
error("Translate requires two parameter (dx, dy)")
|
||||
end
|
||||
dx, dy = params
|
||||
M[1, 1] = 1
|
||||
M[2, 2] = 1
|
||||
M[1, 3] = dx
|
||||
M[2, 3] = dy
|
||||
elseif what == "rotate"
|
||||
if length(params) < 1
|
||||
error("Rotate requires one parameter (theta, isRadian: true)")
|
||||
end
|
||||
theta = params[1]
|
||||
isRadian = 1
|
||||
if length(params) >= 2
|
||||
isRadian = params[2]
|
||||
end
|
||||
|
||||
if isRadian == 1
|
||||
M[1, 1] = cos(theta)
|
||||
M[1, 2] = -sin(theta)
|
||||
M[2, 1] = sin(theta)
|
||||
M[2, 2] = cos(theta)
|
||||
else
|
||||
M[1, 1] = cosd(theta)
|
||||
M[1, 2] = -sind(theta)
|
||||
M[2, 1] = sind(theta)
|
||||
M[2, 2] = cosd(theta)
|
||||
end
|
||||
elseif what == "shear"
|
||||
if length(params) < 4
|
||||
error("Rotate requires four parameter (a, b, c, d)")
|
||||
end
|
||||
a,b,c,d = params
|
||||
M[1, 1] = a
|
||||
M[1, 2] = b
|
||||
M[2, 1] = c
|
||||
M[2, 2] = d
|
||||
else
|
||||
error(printfmt("Matrix of {} is unknown\n", what))
|
||||
end
|
||||
M
|
||||
end
|
||||
|
||||
function projectiveTransform(picture, points)
|
||||
if length(points) != 4
|
||||
error("Not correct number of point")
|
||||
end
|
||||
|
||||
A = zeros(Int64, 2*length(points), 8)
|
||||
B = zeros(Int64, 2*length(points), 1)
|
||||
for i in 1:length(points)
|
||||
x, y, x1, y1 = points[i]
|
||||
A[2*i - 1,:] = [x y 1 0 0 0 -x*x1 -x1*y]
|
||||
A[2*i,:] = [0 0 0 x y 1 -x*y1 -y*y1]
|
||||
B[2*i - 1] = x1
|
||||
B[2*i] = y1
|
||||
end
|
||||
H = vcat(A\B, 1)
|
||||
M = reshape(H, (3,3))'
|
||||
|
||||
println("Matrix M = reshape([A\\B, 1], (3,3))")
|
||||
display(M)
|
||||
println()
|
||||
|
||||
backwardTransform("zero", M, picture)
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
what = ARGS[1]
|
||||
img = load(ARGS[2])
|
||||
|
||||
if what == "transform"
|
||||
# M = [[cosd(25) -sind(25) 0]; [sind(25) cosd(25) 0]; [0 0 1]]
|
||||
# M = genMatrix("rotate", 25, false)
|
||||
|
||||
M = genMatrix(ARGS[3], ARGS[4:end]...)
|
||||
|
||||
forward = forwardTransform(M, img)
|
||||
save("forward.png", forward)
|
||||
|
||||
backward = backwardTransform("zero", M, img)
|
||||
save("backward.png", backward)
|
||||
elseif what == "multitransform"
|
||||
elseif what == "projective"
|
||||
row, col = size(img)
|
||||
out = projectiveTransform(img,
|
||||
[
|
||||
# [x y x1 y1],
|
||||
[55 187 1 1],
|
||||
[1276 619 1295 1],
|
||||
[1447 1761 1295 1635],
|
||||
[166 1819 1 1635]
|
||||
]
|
||||
)
|
||||
save("projective.png", out)
|
||||
else
|
||||
println("Do what? transform/projective")
|
||||
end
|
||||
|
||||
end
|
||||
3
julia_scripts/histogram.jl
Normal file
3
julia_scripts/histogram.jl
Normal file
@ -0,0 +1,3 @@
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
end
|
||||
99
julia_scripts/hough.jl
Normal file
99
julia_scripts/hough.jl
Normal file
@ -0,0 +1,99 @@
|
||||
include("convolution.jl")
|
||||
|
||||
using Images
|
||||
using TestImages
|
||||
using FileIO
|
||||
using Colors
|
||||
using ImageFeatures
|
||||
using Formatting
|
||||
|
||||
using .Convole
|
||||
|
||||
function hough(img, thetaRange=100, rhoRange=100)
|
||||
r, c = size(img)
|
||||
D = sqrt(r * r + c * c)
|
||||
rho_min = -D
|
||||
rho_max = D
|
||||
L_rho = 2*D
|
||||
rho_step = L_rho / rhoRange
|
||||
|
||||
theta_min = -pi/2
|
||||
theta_max = pi/2
|
||||
L_theta = pi
|
||||
theta_step = L_theta / thetaRange
|
||||
|
||||
function dcm_rho(idx)
|
||||
rho_min + ((idx) * rho_step) + (rho_step / 2)
|
||||
end
|
||||
function cdm_rho(rho)
|
||||
round(Int32, (rho - rho_min) / rho_step)
|
||||
end
|
||||
function dcm_theta(idx)
|
||||
theta_min + ((idx) * theta_step) + (theta_step / 2)
|
||||
end
|
||||
function cdm_theta(theta)
|
||||
round(Int32, (theta - theta_min) / theta_step)
|
||||
end
|
||||
|
||||
accumulator = zeros(Int32, rhoRange, thetaRange)
|
||||
#= display(accumulator) =#
|
||||
#= println() =#
|
||||
for index in CartesianIndices(img)
|
||||
x, y = Tuple(index)
|
||||
for k in 1:thetaRange
|
||||
theta = dcm_theta(k)
|
||||
rho = x * cos(theta) + y * sin(theta)
|
||||
i = cdm_rho(rho)
|
||||
accumulator[i, k] += 1 # simple delta(x,y)
|
||||
end
|
||||
end
|
||||
|
||||
rho_idx, theta_idx = Tuple(argmax(accumulator))
|
||||
rho, theta = dcm_rho(rho_idx), dcm_theta(theta_idx)
|
||||
(rho, theta)
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
#= img = zeros(Bool,10,10) =#
|
||||
#= for i in 1:10 =#
|
||||
#= img[2,i] = img[i,2] = img[7,i] = img[i,9] = true =#
|
||||
#= end =#
|
||||
#= lines = hough_transform_standard(img) =#
|
||||
#= =#
|
||||
#= display(img) =#
|
||||
#= println() =#
|
||||
#= for line in lines =#
|
||||
#= r, t = line =#
|
||||
#= printfmt("x * cos({}π) + y * sin({}π) = {}\n", t/π, t/π, r) =#
|
||||
#= end =#
|
||||
|
||||
gaussian_kernel = [
|
||||
1 4 7 4 1
|
||||
4 16 26 16 4
|
||||
7 26 41 26 7
|
||||
4 16 26 16 4
|
||||
1 4 7 4 1
|
||||
] ./ 273
|
||||
laplacian_kernel = [
|
||||
-1 -1 -1
|
||||
-1 8 -1
|
||||
-1 -1 -1
|
||||
]
|
||||
sobel_x_kernel = [
|
||||
-1 0 1
|
||||
-2 0 2
|
||||
-1 0 1
|
||||
]
|
||||
sobel_y_kernel = rotl90(sobel_x_kernel)
|
||||
|
||||
img = load(ARGS[1])
|
||||
img_gray = Gray.(img)
|
||||
img_blur = conv(img_gray, gaussian_kernel)
|
||||
img_edge_x = conv(img_blur, sobel_x_kernel)
|
||||
img_edge_y = conv(img_blur, sobel_y_kernel)
|
||||
img_edge = Gray.(round.(Int32, sqrt.((img_edge_x .^ 2) .* (img_edge_y .^ 2))))
|
||||
save("hough_edge.jpg", img_edge)
|
||||
r, t = hough(img_gray)
|
||||
printfmt("x * cos({}π) + y * sin({}π) = {}\n", t/π, t/π, r)
|
||||
end
|
||||
|
||||
98
julia_scripts/jpeg.jl
Normal file
98
julia_scripts/jpeg.jl
Normal file
@ -0,0 +1,98 @@
|
||||
using Images
|
||||
using FFTW
|
||||
using Formatting
|
||||
|
||||
|
||||
LUMINANCE_QUANTIZATION_TABLE = [
|
||||
16 11 10 16 24 40 51 61
|
||||
12 12 14 19 26 58 60 55
|
||||
14 13 16 24 40 57 69 56
|
||||
14 17 22 29 51 87 80 62
|
||||
18 22 37 56 68 109 103 77
|
||||
24 35 55 64 81 104 113 92
|
||||
49 64 78 87 103 121 120 101
|
||||
72 92 95 98 112 100 103 99
|
||||
]
|
||||
|
||||
ZIGZAG = [
|
||||
0 1 5 6 14 15 27 28
|
||||
2 4 7 13 16 26 29 42
|
||||
3 8 12 17 25 30 41 43
|
||||
9 11 18 24 31 40 44 53
|
||||
10 19 23 32 39 45 52 54
|
||||
20 22 33 38 46 51 55 60
|
||||
21 34 37 47 50 56 59 61
|
||||
35 36 48 49 57 58 62 63
|
||||
] .+ 1
|
||||
|
||||
function to_zigzag(block)
|
||||
out_block = zeros(eltype(block), size(ZIGZAG))
|
||||
for idx in CartesianIndices(ZIGZAG)
|
||||
out_block[ZIGZAG[idx]] = block[idx]
|
||||
# display(out_block)
|
||||
end
|
||||
reshape(out_block, (1,64))
|
||||
end
|
||||
|
||||
|
||||
|
||||
function RLC(block)
|
||||
codes = Tuple{Int32, Int32, Int32}[]
|
||||
leadingZeros = 0
|
||||
for idx in CartesianIndices(ZIGZAG)
|
||||
if (idx == CartesianIndex(1, 1))
|
||||
DC = 0
|
||||
push!(codes, (0, DC, block[idx]))
|
||||
elseif (block[idx] == 0)
|
||||
leadingZeros += 1
|
||||
else
|
||||
push!(codes, (leadingZeros, log(2, block[idx]), block[idx]))
|
||||
leadingZeros = 0
|
||||
end
|
||||
end
|
||||
push!(codes, (0, 0, 0))
|
||||
codes
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
img = load(ARGS[1])
|
||||
img_ycbcr = channelview(YCbCr.(img))
|
||||
|
||||
for c in 1:3
|
||||
channel = img_ycbcr[c,:,:]
|
||||
row, col = size(channel)
|
||||
|
||||
printfmt("{} {}\n", row, col)
|
||||
printfmt("{} {}\n", row % 8, col % 8)
|
||||
|
||||
for i in 1:8:row
|
||||
for j in 1:8:col
|
||||
# printfmt("{} {}\n", i, j)
|
||||
block = channel[i:i+7, j:j+7]
|
||||
|
||||
block_shifted = block .- 127
|
||||
block_dct = FFTW.dct(block_shifted)
|
||||
|
||||
block_quantization = round.(Int32, block_dct ./ LUMINANCE_QUANTIZATION_TABLE)
|
||||
block_zigzag = to_zigzag(block_quantization)
|
||||
|
||||
if i == 1 && j == 9
|
||||
display(block)
|
||||
println()
|
||||
display(block_shifted)
|
||||
println()
|
||||
display(block_dct)
|
||||
println()
|
||||
display(block_quantization)
|
||||
println()
|
||||
display(block_zigzag)
|
||||
println()
|
||||
end
|
||||
|
||||
# block_zigzag = collect(block_zigzag)
|
||||
DC = block_zigzag[1]
|
||||
AC = block_zigzag[2:end]
|
||||
end
|
||||
end
|
||||
end
|
||||
end
|
||||
35
julia_scripts/point.jl
Normal file
35
julia_scripts/point.jl
Normal file
@ -0,0 +1,35 @@
|
||||
using Images
|
||||
using FileIO
|
||||
using Colors
|
||||
|
||||
function transform(img, what, params...)
|
||||
if length(params) < 2
|
||||
error("Transform requires two parameter (a, b)")
|
||||
end
|
||||
a, b = params
|
||||
out = zeros(eltype(img), size(img))
|
||||
if what == "linear"
|
||||
out = a .* img .+ b
|
||||
elseif what == "log"
|
||||
out = a .* log.(1 .+ img) .+ b
|
||||
elseif what == "exp"
|
||||
out = a .* exp.(img) .+ b
|
||||
elseif what == "pow"
|
||||
if length(params) < 3
|
||||
error("Power transform requires three parameter (a, b, gamma)")
|
||||
end
|
||||
gamma = params[3]
|
||||
out = a .* (img .^ gamma) .+ b
|
||||
else
|
||||
error("What the hell man?")
|
||||
end
|
||||
# TODO: Scale to 255
|
||||
out
|
||||
end
|
||||
|
||||
if abspath(PROGRAM_FILE) == @__FILE__
|
||||
what = ARGS[1]
|
||||
img = Gray.(load(ARGS[2]))
|
||||
out = transform(img, what, ARGS[3:end]...)
|
||||
save("point.png", out)
|
||||
end
|
||||
24
julia_scripts/showpicture.jl
Normal file
24
julia_scripts/showpicture.jl
Normal file
@ -0,0 +1,24 @@
|
||||
module Showpicture
|
||||
|
||||
using Images, ImageView, Gtk.ShortNames
|
||||
|
||||
export showpicture
|
||||
|
||||
function showpicture(img)
|
||||
|
||||
guidict = imshow(img);
|
||||
#If we are not in a REPL
|
||||
if (!isinteractive())
|
||||
c = Condition()
|
||||
# Get the window
|
||||
win = guidict["gui"]["window"]
|
||||
# Notify the condition object when the window closes
|
||||
signal_connect(win, :destroy) do widget
|
||||
notify(c)
|
||||
end
|
||||
# Wait for the notification before proceeding ...
|
||||
wait(c)
|
||||
end
|
||||
end
|
||||
|
||||
end
|
||||
165
markdown/1611743_NguyenQuangHoangLam.md
Normal file
165
markdown/1611743_NguyenQuangHoangLam.md
Normal file
@ -0,0 +1,165 @@
|
||||
```{.python .input n=84}
|
||||
import numpy as np
|
||||
from scipy import signal
|
||||
from scipy import fftpack
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
|
||||
print("Question 1: ")
|
||||
### Question 1
|
||||
print("a/")
|
||||
##a
|
||||
|
||||
I1 = np.array([
|
||||
[5,0,0,1,2],
|
||||
[2,1,5,1,2],
|
||||
[7,1,5,1,2],
|
||||
[7,4,5,4,3],
|
||||
[7,1,6,1,3]
|
||||
])
|
||||
|
||||
|
||||
H_sobel_x = np.array([[-1,0,1],[-2,0,2],[-1,0,1]])
|
||||
H_sobel_y = np.array([[-1,-2,-1],[0,0,0],[1,2,1]])
|
||||
|
||||
grad_x = signal.convolve2d(I1,H_sobel_x,boundary='symm',mode ='same')
|
||||
grad_y = signal.convolve2d(I1,H_sobel_y,boundary='symm',mode = 'same')
|
||||
|
||||
|
||||
print(f"Gradient of (0,0) according to x and y: {grad_x[0,0]} {grad_y[0,0]}")
|
||||
print(f"Gradient of (1,1) according to x and y: {grad_x[1,1]} {grad_y[1,1]}")
|
||||
print(f"Gradient of (0,3) according to x and y: {grad_x[0,3]} {grad_y[0,3]}")
|
||||
|
||||
##b
|
||||
print("b/")
|
||||
n = I1.size
|
||||
hist1 = np.bincount(I1.flatten())/n
|
||||
print("Normalized Histogram of I1: ")
|
||||
print(hist1)
|
||||
|
||||
##c
|
||||
print("c/")
|
||||
hist2 = np.array([1/8 for i in range(8)])
|
||||
cdf1 = np.cumsum(hist1)
|
||||
cdf2 = np.cumsum(hist2)
|
||||
|
||||
## equalize
|
||||
print("I2: ")
|
||||
I2 = np.zeros((N,N))
|
||||
N = I1.shape[0]
|
||||
for i in range(N):
|
||||
for j in range(N):
|
||||
x = I1[i,j]
|
||||
c_x = cdf1[x]
|
||||
for k in range(len(cdf2)):
|
||||
if cdf2[k] == c_x:
|
||||
I2[i,j] = k
|
||||
|
||||
print(I2.astype(np.int))
|
||||
|
||||
print("Histogram of I2: ")
|
||||
plt.hist(I2.flatten(),8,[0,8])
|
||||
plt.show()
|
||||
|
||||
|
||||
### Question 2
|
||||
print("Question 2: ")
|
||||
#a
|
||||
print("a/")
|
||||
f = np.array([1,2])
|
||||
|
||||
A = np.arange(2).reshape((1,2))
|
||||
|
||||
M = A.reshape((2,1)).dot(A)
|
||||
|
||||
M_dft = np.round(np.exp(1)**(-2j*(np.pi/2)*M))
|
||||
|
||||
print("Based vectors after DFT: ")
|
||||
i=0
|
||||
for e in M_dft:
|
||||
print(f"e{i}: {e}")
|
||||
i+=1
|
||||
|
||||
#b
|
||||
print("b/")
|
||||
M = 4
|
||||
u = np.arange(M).reshape((M,1))
|
||||
x = 2*u+1
|
||||
W_dct = np.dot(u,x.T)
|
||||
W_dct = np.cos(np.pi*W_dct/(2*M))
|
||||
for _ in range(M):
|
||||
if _ == 0:
|
||||
W_dct[_,:]*= np.sqrt(1/M)
|
||||
else:
|
||||
W_dct[_,:]*= np.sqrt(2/M)
|
||||
|
||||
print("Based vectors after DCT for 4 dims: ")
|
||||
i=0
|
||||
for e in W_dct:
|
||||
print(f"e{i}: {e}")
|
||||
i+=1
|
||||
|
||||
IW = np.round(W_dct.dot(W_dct.T)).astype(np.int32)
|
||||
print(f"W_dct.dot(W_dct.T): \n {IW}")
|
||||
|
||||
if(np.array_equal(IW,np.eye(4))):
|
||||
print("W is orthor")
|
||||
|
||||
|
||||
fx = np.array([1,0,1])
|
||||
|
||||
fx_dct = fftpack.dct(fx)
|
||||
|
||||
print(f"dct of fx: {fx_dct}")
|
||||
|
||||
### Question 3:
|
||||
|
||||
print("Question 3: ")
|
||||
print("a/")
|
||||
phi = np.pi/4
|
||||
H2 = np.array([[np.cos(phi),-np.sin(phi),0],[np.sin(phi),np.cos(phi),0],[0,0,1]])
|
||||
H1 = np.array([[1,0,-3],[0,1,-3],[0,0,1]])
|
||||
H3 = np.array([[1,0,3],[0,1,3],[0,0,1]])
|
||||
|
||||
print(f"Translate -3: \n{H1}")
|
||||
print(f"Rotate : \n {H2}")
|
||||
print(f"Translate 3: \n{H3}")
|
||||
H = H3.dot(H2).dot(H1)
|
||||
|
||||
print(f"Matrix to rotate the image around (3,3): \n {H}")
|
||||
|
||||
print("b/")
|
||||
|
||||
Io = np.array((2,3,1)).reshape((3,1))
|
||||
I = np.linalg.pinv(H).dot(Io)
|
||||
|
||||
x,y=I[0:2,:].flatten()
|
||||
print(f"x, y after zero order: {np.round(x).astype(np.int32)},{np.round(y).astype(np.int32)}")
|
||||
|
||||
|
||||
```
|
||||
|
||||
```{.json .output n=84}
|
||||
[
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": "Question 1: \na/\nGradient of (0,0) according to x and y: 16 8\nGradient of (1,1) according to x and y: 1 -9\nGradient of (0,3) according to x and y: -3 -5\nb/\nNormalized Histogram of I1: \n[0.08 0.28 0.16 0.08 0.08 0.16 0.04 0.12]\nc/\nI2: \n[[0 0 0 0 0]\n [0 0 0 0 0]\n [7 0 0 0 0]\n [7 0 0 0 0]\n [7 0 0 0 0]]\nHistogram of I2: \n"
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD8CAYAAABn919SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
|
||||
"text/plain": "<Figure size 432x288 with 1 Axes>"
|
||||
},
|
||||
"metadata": {
|
||||
"tags": []
|
||||
},
|
||||
"output_type": "display_data"
|
||||
},
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": "Question 2: \na/\nBased vectors after DFT: \ne0: [1.+0.j 1.+0.j]\ne1: [ 1.+0.j -1.-0.j]\nb/\nBased vectors after DCT for 4 dims: \ne0: [0.5 0.5 0.5 0.5]\ne1: [ 0.65328148 0.27059805 -0.27059805 -0.65328148]\ne2: [ 0.5 -0.5 -0.5 0.5]\ne3: [ 0.27059805 -0.65328148 0.65328148 -0.27059805]\nW_dct.dot(W_dct.T): \n [[1 0 0 0]\n [0 1 0 0]\n [0 0 1 0]\n [0 0 0 1]]\nW is orthor\ndct of fx: [4. 0. 2.]\nQuestion 3: \na/\nTranslate -3: \n[[ 1 0 -3]\n [ 0 1 -3]\n [ 0 0 1]]\nRotate : \n [[ 0.70710678 -0.70710678 0. ]\n [ 0.70710678 0.70710678 0. ]\n [ 0. 0. 1. ]]\nTranslate 3: \n[[1 0 3]\n [0 1 3]\n [0 0 1]]\nMatrix to rotate the image around (3,3): \n [[ 0.70710678 -0.70710678 3. ]\n [ 0.70710678 0.70710678 -1.24264069]\n [ 0. 0. 1. ]]\nb/\nx, y after zero order: 2,4\n"
|
||||
}
|
||||
]
|
||||
```
|
||||
1
python_notebook/1610473_NguyenGiapPhuongDuy.ipynb
Normal file
1
python_notebook/1610473_NguyenGiapPhuongDuy.ipynb
Normal file
File diff suppressed because one or more lines are too long
1
python_notebook/1611743_NguyenQuangHoangLam.ipynb
Normal file
1
python_notebook/1611743_NguyenQuangHoangLam.ipynb
Normal file
File diff suppressed because one or more lines are too long
136
python_notebook/hough.ipynb
Normal file
136
python_notebook/hough.ipynb
Normal file
@ -0,0 +1,136 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 1,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"import numpy as np\n",
|
||||
"import imageio\n",
|
||||
"import math"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def rgb2gray(rgb):\n",
|
||||
" return np.dot(rgb[..., :3], [0.299, 0.587, 0.114]).astype(np.uint8)\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"def hough_line(img, angle_step=1, lines_are_white=True, value_threshold=5):\n",
|
||||
" \"\"\"\n",
|
||||
" Hough transform for lines\n",
|
||||
"\n",
|
||||
" Input:\n",
|
||||
" img - 2D binary image with nonzeros representing edges\n",
|
||||
" angle_step - Spacing between angles to use every n-th angle\n",
|
||||
" between -90 and 90 degrees. Default step is 1.\n",
|
||||
" lines_are_white - boolean indicating whether lines to be detected are white\n",
|
||||
" value_threshold - Pixel values above or below the value_threshold are edges\n",
|
||||
"\n",
|
||||
" Returns:\n",
|
||||
" accumulator - 2D array of the hough transform accumulator\n",
|
||||
" theta - array of angles used in computation, in radians.\n",
|
||||
" rhos - array of rho values. Max size is 2 times the diagonal\n",
|
||||
" distance of the input image.\n",
|
||||
" \"\"\"\n",
|
||||
" # Rho and Theta ranges\n",
|
||||
" thetas = np.deg2rad(np.arange(-90.0, 90.0, angle_step))\n",
|
||||
" width, height = img.shape\n",
|
||||
" diag_len = int(round(math.sqrt(width * width + height * height)))\n",
|
||||
" rhos = np.linspace(-diag_len, diag_len, diag_len * 2)\n",
|
||||
"\n",
|
||||
" # Cache some resuable values\n",
|
||||
" cos_t = np.cos(thetas)\n",
|
||||
" sin_t = np.sin(thetas)\n",
|
||||
" num_thetas = len(thetas)\n",
|
||||
"\n",
|
||||
" # Hough accumulator array of theta vs rho\n",
|
||||
" accumulator = np.zeros((2 * diag_len, num_thetas), dtype=np.uint8)\n",
|
||||
" # (row, col) indexes to edges\n",
|
||||
" are_edges = img > value_threshold if lines_are_white else img < value_threshold\n",
|
||||
" y_idxs, x_idxs = np.nonzero(are_edges)\n",
|
||||
"\n",
|
||||
" # Vote in the hough accumulator\n",
|
||||
" for i in range(len(x_idxs)):\n",
|
||||
" x = x_idxs[i]\n",
|
||||
" y = y_idxs[i]\n",
|
||||
"\n",
|
||||
" for t_idx in range(num_thetas):\n",
|
||||
" # Calculate rho. diag_len is added for a positive index\n",
|
||||
" rho = diag_len + int(round(x * cos_t[t_idx] + y * sin_t[t_idx]))\n",
|
||||
" accumulator[rho, t_idx] += 1\n",
|
||||
"\n",
|
||||
" return accumulator, thetas, rhos"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 3,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def show_hough_line(img, accumulator, thetas, rhos, save_path=None):\n",
|
||||
" import matplotlib.pyplot as plt\n",
|
||||
"\n",
|
||||
" fig, ax = plt.subplots(1, 2, figsize=(10, 10))\n",
|
||||
"\n",
|
||||
" ax[0].imshow(img, cmap=plt.cm.gray)\n",
|
||||
" ax[0].set_title('Input image')\n",
|
||||
" ax[0].axis('image')\n",
|
||||
"\n",
|
||||
" ax[1].imshow(\n",
|
||||
" accumulator, cmap='jet',\n",
|
||||
" extent=[np.rad2deg(thetas[-1]), np.rad2deg(thetas[0]), rhos[-1], rhos[0]])\n",
|
||||
" ax[1].set_aspect('equal', adjustable='box')\n",
|
||||
" ax[1].set_title('Hough transform')\n",
|
||||
" ax[1].set_xlabel('Angles (degrees)')\n",
|
||||
" ax[1].set_ylabel('Distance (pixels)')\n",
|
||||
" ax[1].axis('image')\n",
|
||||
"\n",
|
||||
" # plt.axis('off')\n",
|
||||
" if save_path is not None:\n",
|
||||
" plt.savefig(save_path, bbox_inches='tight')\n",
|
||||
" plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"imgpath = '../images/bangdiem.png'\n",
|
||||
"img = imageio.imread(imgpath)\n",
|
||||
"if img.ndim == 3:\n",
|
||||
" img = rgb2gray(img)\n",
|
||||
"accumulator, thetas, rhos = hough_line(img)"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
"language_info": {
|
||||
"codemirror_mode": {
|
||||
"name": "ipython",
|
||||
"version": 3
|
||||
},
|
||||
"file_extension": ".py",
|
||||
"mimetype": "text/x-python",
|
||||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.7.2"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
134
python_scripts/1612143_TruongPhuongNam.py
Normal file
134
python_scripts/1612143_TruongPhuongNam.py
Normal file
@ -0,0 +1,134 @@
|
||||
import cv2 as cv
|
||||
import numpy as np
|
||||
from numpy import fft
|
||||
import matplotlib.pyplot as plt
|
||||
from scipy import ndimage
|
||||
from scipy import signal
|
||||
from scipy import fftpack
|
||||
|
||||
def create_histogram(img):
|
||||
size = img.shape[0]*img.shape[1]
|
||||
hist = np.zeros(8, dtype=np.float)
|
||||
for row in range(img.shape[0]):
|
||||
for col in range(img.shape[1]):
|
||||
hist[img[row][col]] += 1
|
||||
return hist/size
|
||||
|
||||
def create_sum_histogram(hist):
|
||||
sum_hist = np.zeros(8,dtype=np.float)
|
||||
sum_hist[0] = hist[0]
|
||||
for x in range(1,8):
|
||||
sum_hist[x] = sum_hist[x-1] + hist[x]
|
||||
return sum_hist
|
||||
|
||||
def dft(signal):
|
||||
N = len(signal)
|
||||
x = np.array(range(N))
|
||||
x = np.tile(x,(N,1))
|
||||
u = x.copy().T
|
||||
M = np.exp((-1j*2*np.pi*x*u)/N)
|
||||
return np.matmul(M,signal)
|
||||
|
||||
def show_dft_vector(N):
|
||||
x = np.array(range(N))
|
||||
x = np.tile(x,(N,1))
|
||||
u = x.copy().T
|
||||
M = np.exp((-1j*2*np.pi*x*u)/N)
|
||||
print(M)
|
||||
|
||||
def dct(signal):
|
||||
N = len(signal)
|
||||
x = np.array(range(N))
|
||||
x = np.tile(x,(N,1))
|
||||
u = x.copy().T
|
||||
M = np.cos((2*x+1)*u*np.pi/(2*N))
|
||||
a1 = [np.sqrt(1/N)]
|
||||
a2 = np.repeat(np.array([np.sqrt(2/N)]),N-1)
|
||||
a = np.concatenate((a1,a2),axis = 0)
|
||||
return np.matmul(M,signal)*a
|
||||
|
||||
def show_dct(N):
|
||||
x = np.array(range(N))
|
||||
x = np.tile(x,(N,1))
|
||||
u = x.copy().T
|
||||
M = np.cos((2*x+1)*u*np.pi/(2*N))
|
||||
a1 = [np.sqrt(1/N)]
|
||||
a2 = np.repeat(np.array([np.sqrt(2/N)]),N-1)
|
||||
a = np.concatenate((a1,a2),axis = 0)
|
||||
a = np.repeat(a,4)
|
||||
a = np.reshape(a,(4,4))
|
||||
return M*a
|
||||
|
||||
|
||||
def bai1():
|
||||
I = np.array([[5,0,0,1,2],
|
||||
[2,1,5,1,2],
|
||||
[7,1,5,1,2],
|
||||
[7,4,5,4,3],
|
||||
[7,1,6,1,3]])
|
||||
Kx = np.array([[-1,0,1],
|
||||
[-2,0,2],
|
||||
[-1,0,1]])
|
||||
Ky = Kx.T
|
||||
Gx = ndimage.convolve(I,Kx,mode='reflect')
|
||||
Gy = ndimage.convolve(I,Ky,mode='reflect')
|
||||
print('Gradient vector at (0,0): (' + str(Gx[0,0]) + ',' + str(Gy[0,0]) +')')
|
||||
print('Gradient vector at (1,1): (' + str(Gx[1,1]) + ',' + str(Gy[1,1]) +')')
|
||||
print('Gradient vector at (0,3): (' + str(Gx[0,3]) + ',' + str(Gy[0,3]) +')')
|
||||
|
||||
h = create_histogram(I)
|
||||
plt.plot(h,color = 'b')
|
||||
plt.xlim([0,7])
|
||||
plt.show()
|
||||
sumhist = create_sum_histogram(h)
|
||||
|
||||
new_I = I.copy()
|
||||
for x in range(I.shape[0]):
|
||||
for y in range(I.shape[1]):
|
||||
new_I[x][y] = int(np.round(sumhist[I[x][y]]*7))
|
||||
new_h = create_histogram(new_I)
|
||||
new_h_sum = create_sum_histogram(new_h)
|
||||
plt.plot(sumhist,color = 'r')
|
||||
plt.plot(new_h_sum,color = 'b')
|
||||
plt.xlim([0,7])
|
||||
plt.show()
|
||||
|
||||
print(new_I)
|
||||
|
||||
|
||||
def bai2():
|
||||
# a)
|
||||
print('Cau 2a)')
|
||||
show_dft_vector(2)
|
||||
print(dft([1,3]))
|
||||
# b)
|
||||
print('Cau b)')
|
||||
fx = np.array([1,3])
|
||||
fu = dft(fx)
|
||||
print(fu)
|
||||
print('Chung minh truc giao chuan:')
|
||||
base_vector = show_dct(4)
|
||||
for v in base_vector:
|
||||
print(np.sum(v**2))
|
||||
for x in range(base_vector.shape[0]):
|
||||
for y in range(x,base_vector.shape[0]):
|
||||
if x == y:
|
||||
continue
|
||||
print(np.dot(base_vector[x],base_vector[y]))
|
||||
|
||||
fx = np.array([1,0,1])
|
||||
fxx = np.array([1,0,1,0])
|
||||
print(dct(fxx))
|
||||
|
||||
|
||||
def bai3():
|
||||
A = np.array([[1/np.sqrt(2),-1/np.sqrt(2),3],
|
||||
[1/np.sqrt(2),1/np.sqrt(2),-3*2**0.5+3],
|
||||
[0,0,1]])
|
||||
P1 = np.array([2,3,1])
|
||||
pixel = np.round(np.matmul(np.linalg.inv(A),P1))
|
||||
print(pixel)
|
||||
|
||||
bai1()
|
||||
bai2()
|
||||
bai3()
|
||||
107
python_scripts/1614096_NguyenLeQuocViet.py
Normal file
107
python_scripts/1614096_NguyenLeQuocViet.py
Normal file
@ -0,0 +1,107 @@
|
||||
from skimage.exposure import rescale_intensity
|
||||
import numpy as np
|
||||
import cv2 as cv
|
||||
import matplotlib.pyplot as plt
|
||||
import math
|
||||
def convolve(image, kernel):
|
||||
(iH, iW) = image.shape[:2]
|
||||
(kH, kW) = kernel.shape[:2]
|
||||
kernel = kernel[::-1]
|
||||
pad = (kW - 1) // 2
|
||||
image = cv.copyMakeBorder(image, pad, pad, pad, pad, cv.BORDER_REPLICATE)
|
||||
output = np.zeros((iH,iW), dtype="float32")
|
||||
|
||||
for y in np.arange(pad, iH + pad):
|
||||
for x in np.arange(pad, iW + pad):
|
||||
roi = image[y - pad:y+pad+1, x - pad:x + pad + 1]
|
||||
k =(roi * kernel).sum()
|
||||
output[y - pad, x - pad] = k
|
||||
|
||||
output = rescale_intensity(output, in_range=(0,255))
|
||||
output = (output * 255).astype("uint8")
|
||||
return output
|
||||
|
||||
I = np.array([ [5,0,0,1,2],
|
||||
[2,1,5,1,2],
|
||||
[7,1,5,1,2],
|
||||
[7,4,5,4,3],
|
||||
[7,1,6,1,3] ])
|
||||
|
||||
sobelX = np.array((
|
||||
[-1,0,1],
|
||||
[-2,0,2],
|
||||
[-1,0,1]), dtype="int")
|
||||
|
||||
sobelY = np.array((
|
||||
[-1,-1,-1],
|
||||
[-2, 0, 2],
|
||||
[-1, 0, 1]), dtype="int")
|
||||
|
||||
H,W = I.shape
|
||||
D_x = convolve(I,sobelX)
|
||||
D_y = convolve(I,sobelY)
|
||||
result_a = []
|
||||
for i in range(H):
|
||||
temp = []
|
||||
for j in range(W):
|
||||
temp += [(D_x[i,j],D_y[i,j])]
|
||||
result_a.append(temp)
|
||||
print("1A\n",result_a)
|
||||
|
||||
def create_histogram(img):
|
||||
assert len(img.shape) == 2
|
||||
H,W = img.shape
|
||||
sum = H * W
|
||||
histogram = np.zeros(shape=(8,), dtype = float)
|
||||
for row in range(img.shape[0]):
|
||||
for col in range(img.shape[1]):
|
||||
histogram[img[row,col]] += 1 / sum
|
||||
return histogram
|
||||
|
||||
|
||||
def visualize_histogram(histogram, name):
|
||||
index = np.arange(len(histogram))
|
||||
plt.bar(index,histogram)
|
||||
plt.xlabel('Intensity', fontsize = 5)
|
||||
plt.ylabel('Frequency', fontsize = 5)
|
||||
plt.title(name)
|
||||
plt.show()
|
||||
|
||||
def histogram_equation(histogram, img):
|
||||
c = np.cumsum(histogram)
|
||||
print(c)
|
||||
m_table = np.array([]).astype(np.uint8)
|
||||
m_table = c * 7
|
||||
for row in range(img.shape[0]):
|
||||
for col in range(img.shape[1]):
|
||||
img[row,col] = m_table[img[row,col]]
|
||||
return img
|
||||
|
||||
|
||||
visualize_histogram(create_histogram(I),"1B")
|
||||
|
||||
print("1C\n",histogram_equation(create_histogram(I),I))
|
||||
|
||||
def DFT1D(array):
|
||||
N = array.shape[0]
|
||||
# (a[x, y], b[x, y]) = (x, y)
|
||||
a = np.tile(np.arange(0, N), (N, 1))
|
||||
b = a.copy().T
|
||||
W = np.exp(-2j*np.pi/N*a*b)
|
||||
return np.around(np.dot(W, array), 2)
|
||||
|
||||
def DCT1D(array):
|
||||
N = array.shape[0]
|
||||
factor = math.pi / N
|
||||
C = np.zeros((N, N), dtype = np.float32)
|
||||
for x in range(N):
|
||||
C[0][x] = math.sqrt(1/N) * math.cos((x + 0.5) * 0 * factor)
|
||||
for u in range(N)[1:]:
|
||||
for x in range(N):
|
||||
C[u][x] = math.sqrt(2/N) * math.cos((x + 0.5) * u * factor)
|
||||
return C, np.matmul(C, array)
|
||||
|
||||
print("2A\n",DFT1D(np.array([1,3])))
|
||||
C, F = DCT1D(np.array([1,0,1,0]))
|
||||
print("2B\nC=\n", C)
|
||||
print("F=",F)
|
||||
84
python_scripts/FTs.py
Normal file
84
python_scripts/FTs.py
Normal file
@ -0,0 +1,84 @@
|
||||
import numpy as np
|
||||
import scipy.ndimage as ndi
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
|
||||
def imshow(img, cap=None):
|
||||
if np.amax(img) > 255:
|
||||
img = img / (np.amax(img)) * 255
|
||||
img.astype(np.uint8)
|
||||
fig = plt.figure(figsize=(4, 4))
|
||||
if cap is not None:
|
||||
plt.title(cap)
|
||||
plt.imshow(img, cmap="gray")
|
||||
plt.axis("off")
|
||||
plt.show()
|
||||
|
||||
|
||||
def shift(array):
|
||||
n = array.shape[0]
|
||||
t = array[0:int(n / 2), 0:int(n / 2)].copy()
|
||||
array[0:int(n / 2), 0:int(n / 2)] = array[int(n / 2):n, int(n / 2):n]
|
||||
array[int(n / 2):n, int(n / 2):n] = t
|
||||
t = array[0:int(n / 2), int(n / 2):n].copy()
|
||||
array[0:int(n / 2), int(n / 2):n] = array[int(n / 2):n, 0:int(n / 2)]
|
||||
array[int(n / 2):n, 0:int(n / 2)] = t
|
||||
return array
|
||||
|
||||
|
||||
def padding(img):
|
||||
s = 2**np.ceil(np.log2(np.amax(img.shape))).astype(np.int32)
|
||||
height = s - img.shape[0]
|
||||
width = s - img.shape[1]
|
||||
left = width // 2
|
||||
right = width - left
|
||||
top = height // 2
|
||||
down = height - top
|
||||
shape_ = [[top, down], [left, right]]
|
||||
return np.pad(img, shape_, 'constant')
|
||||
|
||||
|
||||
def dft1d(array):
|
||||
N = array.shape[0]
|
||||
# (a[x, y], b[x, y]) = (x, y)
|
||||
a = np.tile(np.arange(0, N), (N, 1))
|
||||
b = a.copy().T
|
||||
W = np.exp(-2j * np.pi / N * a * b)
|
||||
return np.around(np.dot(W, array), 2)
|
||||
|
||||
|
||||
def idft1d(array):
|
||||
N = array.shape[0]
|
||||
# (a[x, y], b[x, y]) = (x, y)
|
||||
a = np.tile(np.arange(0, N), (N, 1))
|
||||
b = a.copy().T
|
||||
W = np.exp(2j * np.pi / N * a * b) / N
|
||||
return np.around(np.dot(W, array), 2)
|
||||
|
||||
|
||||
def fft1d(array):
|
||||
m = array.shape[0]
|
||||
if m == 1:
|
||||
return array
|
||||
elif m % 2 == 0:
|
||||
even = fft1d(array[::2])
|
||||
odd = fft1d(array[1::2])
|
||||
Wm = np.exp(-2j * np.pi / m * np.arange(int(m / 2)))
|
||||
half1 = even + odd * Wm
|
||||
half2 = even - odd * Wm
|
||||
return np.concatenate([half1, half2])
|
||||
else:
|
||||
raise ValueError("Wrong dimension")
|
||||
|
||||
|
||||
def fft(array):
|
||||
n = array.shape[0]
|
||||
if np.log2(n) % 1 != 0:
|
||||
return dft1d(array)
|
||||
else:
|
||||
return np.around(fft1d(array), 2)
|
||||
|
||||
|
||||
def fft2d(matrix):
|
||||
temp = np.array([fft(x) for x in matrix]).T
|
||||
return np.around(np.array([fft(x) for x in temp]).T, 2)
|
||||
114
python_scripts/Filters.py
Normal file
114
python_scripts/Filters.py
Normal file
@ -0,0 +1,114 @@
|
||||
import cv2
|
||||
import numpy as np
|
||||
import scipy.ndimage as ndi
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
# customized imshow function
|
||||
|
||||
|
||||
def imshow(img, cap=None):
|
||||
if np.amax(img) > 255:
|
||||
img = img / (np.amax(img)) * 255
|
||||
img.astype(np.uint8)
|
||||
fig = plt.figure(figsize=(4, 4))
|
||||
if cap is not None:
|
||||
plt.title(cap)
|
||||
plt.imshow(img, cmap="gray")
|
||||
plt.axis("off")
|
||||
plt.show()
|
||||
|
||||
|
||||
def apply(img, ker):
|
||||
return np.abs(np.fft.ifft2(np.fft.fftshift(np.fft.fft2(img)) * ker).real)
|
||||
|
||||
################################################################
|
||||
|
||||
# Ideal LowPass Filter kernel
|
||||
|
||||
|
||||
def ilpf(m, n, r):
|
||||
a = np.tile(np.arange(-n / 2, n / 2), (m, 1))
|
||||
b = np.tile(np.arange(-m / 2, m / 2), (n, 1)).T
|
||||
return (a * a + b * b < r * r).astype(np.uint8)
|
||||
|
||||
# Print ILPF Result
|
||||
|
||||
|
||||
def apply_ilpf(img, r):
|
||||
row, col = img.shape
|
||||
imshow(img(*ilpf(row, col, r)), 'Ideal LowPass Filter\nwith r = ' + str(r))
|
||||
|
||||
|
||||
img = cv2.imread("C:/Users/NGPD/Desktop/2.jpg", cv2.IMREAD_GRAYSCALE)
|
||||
imshow(img, 'Loaded Image')
|
||||
apply_ilpf(img, 5)
|
||||
apply_ilpf(img, 15)
|
||||
apply_ilpf(img, 30)
|
||||
apply_ilpf(img, 80)
|
||||
|
||||
################################################################
|
||||
|
||||
# Butterworth LPF kernel
|
||||
|
||||
|
||||
def blpf(m, n, N, r):
|
||||
a = np.tile(np.arange(-n / 2, n / 2), (m, 1))
|
||||
b = np.tile(np.arange(-m / 2, m / 2), (n, 1)).T
|
||||
return (1 / (1 + ((a * a + b * b) / (r * r))**N))
|
||||
|
||||
# Print BLPF Result
|
||||
|
||||
|
||||
def apply_blpf(img, N, r):
|
||||
row, col = img.shape
|
||||
imshow(img(*blpf(row, col, N, r)),
|
||||
'Butterworth LowPass Filter\nwith r = ' + str(r) + ' and n = ' + str(N))
|
||||
|
||||
|
||||
img = cv2.imread("C:/Users/NGPD/Desktop/2.jpg", cv2.IMREAD_GRAYSCALE)
|
||||
imshow(img, 'Loaded Image')
|
||||
n = 2
|
||||
apply_blpf(img, n, 5)
|
||||
apply_blpf(img, n, 15)
|
||||
apply_blpf(img, n, 30)
|
||||
apply_blpf(img, n, 80)
|
||||
|
||||
################################################################
|
||||
|
||||
# Gaussian LPF kernel
|
||||
|
||||
|
||||
def glpf(m, n, r):
|
||||
a = np.tile(np.arange(-n / 2, n / 2), (m, 1))
|
||||
b = np.tile(np.arange(-m / 2, m / 2), (n, 1)).T
|
||||
return np.exp(-(a * a + b * b) / (2 * r * r))
|
||||
|
||||
# Print GLPF Result
|
||||
|
||||
|
||||
def apply_glpf(img, r):
|
||||
row, col = img.shape
|
||||
imshow(img(*glpf(row, col, r)), 'Gaussian LowPass Filter\nwith r = ' + str(r))
|
||||
|
||||
|
||||
img = cv2.imread("C:/Users/NGPD/Desktop/2.jpg", cv2.IMREAD_GRAYSCALE)
|
||||
imshow(img, 'Loaded Image')
|
||||
apply_glpf(img, 5)
|
||||
apply_glpf(img, 15)
|
||||
apply_glpf(img, 30)
|
||||
apply_glpf(img, 80)
|
||||
|
||||
################################################################
|
||||
|
||||
img = cv2.imread("C:/Users/NGPD/Desktop/2.jpg", cv2.IMREAD_GRAYSCALE)
|
||||
|
||||
m, n = img.shape
|
||||
a = np.tile(np.arange(-n / 2, n / 2), (m, 1))
|
||||
b = np.tile(np.arange(-m / 2, m / 2), (n, 1)).T
|
||||
lap = img(*-(a * a + b * b))
|
||||
if np.amax(lap) > 255:
|
||||
lap = lap / (np.amax(lap)) * 255
|
||||
|
||||
imshow(img, 'Loaded Image')
|
||||
imshow(lap, 'Laplacian Filter')
|
||||
imshow(img - lap, 'g(x, y)')
|
||||
46
python_scripts/chessboard.py
Normal file
46
python_scripts/chessboard.py
Normal file
@ -0,0 +1,46 @@
|
||||
import cv2
|
||||
import numpy as np
|
||||
import scipy.ndimage as ndi
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
# customized imshow function
|
||||
|
||||
|
||||
def imshow(img, cap=None):
|
||||
if np.amax(img) > 255:
|
||||
img = img / (np.amax(img)) * 255
|
||||
img.astype(np.uint8)
|
||||
fig = plt.figure(figsize=(4, 4))
|
||||
if cap is not None:
|
||||
plt.title(cap)
|
||||
plt.imshow(img, cmap="gray")
|
||||
plt.axis("off")
|
||||
plt.show()
|
||||
|
||||
|
||||
def ilpf(m, n, r):
|
||||
a = np.tile(np.arange(-n / 2, n / 2), (m, 1))
|
||||
b = np.tile(np.arange(-m / 2, m / 2), (n, 1)).T
|
||||
return (a * a + b * b < r * r).astype(np.uint8)
|
||||
|
||||
|
||||
def apply(img, ker):
|
||||
return np.abs(np.fft.ifft2(np.fft.fftshift(np.fft.fft2(img)) * ker).real)
|
||||
|
||||
|
||||
# generate chess board with size NxN
|
||||
N = 64
|
||||
a = np.tile(np.array(1), (int(N / 4), int(N / 4)))
|
||||
b = np.tile(np.array(0), (int(N / 4), int(N / 4)))
|
||||
img1 = np.concatenate([a, b], axis=0)
|
||||
img2 = np.concatenate([b, a], axis=0)
|
||||
img = np.concatenate([img1, img2], axis=1)
|
||||
img = np.tile(img, (4, 4))
|
||||
|
||||
r, c = img.shape
|
||||
ker = ilpf(r, c, 30)
|
||||
res = img(*ker)
|
||||
|
||||
imshow(img, 'Created Image')
|
||||
imshow(ker, 'ILPF Kernel')
|
||||
imshow(res, 'ILPF Result')
|
||||
90
python_scripts/hough.py
Normal file
90
python_scripts/hough.py
Normal file
@ -0,0 +1,90 @@
|
||||
import numpy as np
|
||||
import imageio
|
||||
import math
|
||||
|
||||
def rgb2gray(rgb):
|
||||
return np.dot(rgb[..., :3], [0.299, 0.587, 0.114]).astype(np.uint8)
|
||||
|
||||
|
||||
def hough_line(img, angle_step=1, lines_are_white=True, value_threshold=5):
|
||||
"""
|
||||
Hough transform for lines
|
||||
|
||||
Input:
|
||||
img - 2D binary image with nonzeros representing edges
|
||||
angle_step - Spacing between angles to use every n-th angle
|
||||
between -90 and 90 degrees. Default step is 1.
|
||||
lines_are_white - boolean indicating whether lines to be detected are white
|
||||
value_threshold - Pixel values above or below the value_threshold are edges
|
||||
|
||||
Returns:
|
||||
accumulator - 2D array of the hough transform accumulator
|
||||
theta - array of angles used in computation, in radians.
|
||||
rhos - array of rho values. Max size is 2 times the diagonal
|
||||
distance of the input image.
|
||||
"""
|
||||
# Rho and Theta ranges
|
||||
thetas = np.deg2rad(np.arange(-90.0, 90.0, angle_step))
|
||||
width, height = img.shape
|
||||
diag_len = int(round(math.sqrt(width * width + height * height)))
|
||||
rhos = np.linspace(-diag_len, diag_len, diag_len * 2)
|
||||
|
||||
# Cache some resuable values
|
||||
cos_t = np.cos(thetas)
|
||||
sin_t = np.sin(thetas)
|
||||
num_thetas = len(thetas)
|
||||
|
||||
# Hough accumulator array of theta vs rho
|
||||
accumulator = np.zeros((2 * diag_len, num_thetas), dtype=np.uint8)
|
||||
# (row, col) indexes to edges
|
||||
are_edges = img > value_threshold if lines_are_white else img < value_threshold
|
||||
y_idxs, x_idxs = np.nonzero(are_edges)
|
||||
|
||||
# Vote in the hough accumulator
|
||||
for i in range(len(x_idxs)):
|
||||
x = x_idxs[i]
|
||||
y = y_idxs[i]
|
||||
|
||||
for t_idx in range(num_thetas):
|
||||
# Calculate rho. diag_len is added for a positive index
|
||||
rho = diag_len + int(round(x * cos_t[t_idx] + y * sin_t[t_idx]))
|
||||
accumulator[rho, t_idx] += 1
|
||||
|
||||
return accumulator, thetas, rhos
|
||||
|
||||
|
||||
def show_hough_line(img, accumulator, thetas, rhos, save_path=None):
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
fig, ax = plt.subplots(1, 2, figsize=(10, 10))
|
||||
|
||||
ax[0].imshow(img, cmap=plt.cm.gray)
|
||||
ax[0].set_title('Input image')
|
||||
ax[0].axis('image')
|
||||
|
||||
ax[1].imshow(
|
||||
accumulator, cmap='jet',
|
||||
extent=[np.rad2deg(thetas[-1]), np.rad2deg(thetas[0]), rhos[-1], rhos[0]])
|
||||
ax[1].set_aspect('equal', adjustable='box')
|
||||
ax[1].set_title('Hough transform')
|
||||
ax[1].set_xlabel('Angles (degrees)')
|
||||
ax[1].set_ylabel('Distance (pixels)')
|
||||
ax[1].axis('image')
|
||||
|
||||
# plt.axis('off')
|
||||
if save_path is not None:
|
||||
plt.savefig(save_path, bbox_inches='tight')
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
imgpath = '../images/bangdiem.png'
|
||||
img = imageio.imread(imgpath)
|
||||
if img.ndim == 3:
|
||||
img = rgb2gray(img)
|
||||
accumulator, thetas, rhos = hough_line(img)
|
||||
idx = np.argmax(accumulator)
|
||||
rho = rhos[idx / accumulator.shape[1]]
|
||||
theta = thetas[idx % accumulator.shape[1]]
|
||||
print ("rho={0:.2f}, theta={1:.0f}".format(rho, np.rad2deg(theta)))
|
||||
# show_hough_line(img, accumulator, save_path='imgs/output.png')
|
||||
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resource/IPCV/1/ImageFormation.ppt
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resource/IPCV/8-9/HoughTransforms.pdf
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resource/IPCV/CO3057_Xulyanh_thigiacmaytinh_chitiet-JULY18.pdf
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resource/Sources/ADIP - DCT.ppt
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resource/Sources/ADIP - Feature Detection.pptx
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resource/Sources/ADIP - Feature Detection.pptx
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resource/Sources/ADIP - Fourier Transform.pptx
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resource/Sources/ADIP - Fourier Transform.pptx
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resource/Sources/ADIP - GEOMETRIC.pptx
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resource/Sources/Decription/Desciption.tex
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resource/Sources/Decription/chaincode_1.png
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resource/Sources/Decription/chaincode_2.png
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BIN
resource/Sources/Decription/chaincode_3.png
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After Width: | Height: | Size: 148 KiB |
BIN
resource/Sources/Decription/diameter.png
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236
resource/Sources/Decription/dsa-style.tex
Normal file
236
resource/Sources/Decription/dsa-style.tex
Normal file
@ -0,0 +1,236 @@
|
||||
% Copyright 2007 by Till Tantau
|
||||
%
|
||||
% This file may be distributed and/or modified
|
||||
%
|
||||
% 1. under the LaTeX Project Public License and/or
|
||||
% 2. under the GNU Public License.
|
||||
%
|
||||
% See the file doc/licenses/LICENSE for more details.
|
||||
|
||||
|
||||
% Common packages
|
||||
\usepackage[utf8x]{inputenc}
|
||||
\usepackage[vietnam,english]{babel}
|
||||
\usepackage[utf8]{vietnam}
|
||||
%\usepackage{times}
|
||||
\usefonttheme[onlymath]{serif}
|
||||
\usecolortheme{default}
|
||||
\usepackage{booktabs}
|
||||
\usepackage{mathpartir}
|
||||
\usepackage{listings}
|
||||
\usepackage{listingsutf8}
|
||||
|
||||
\usepackage{pbox}
|
||||
\mprset{flushleft}
|
||||
\mode<article>
|
||||
{
|
||||
\usepackage{times}
|
||||
\usepackage{mathptmx}
|
||||
\usepackage[left=1.5cm,right=6cm,top=1.5cm,bottom=3cm]{geometry}
|
||||
}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\usepackage{tikz}
|
||||
\usetikzlibrary{arrows,backgrounds}
|
||||
%\tikzstyle{mnode}=[circle, draw, fill=black, inner sep=0pt, minimum width=4pt]
|
||||
\usepackage{colortbl}
|
||||
%\usepackage{yfonts}
|
||||
\usepackage{translator} % comment this, if not available
|
||||
|
||||
|
||||
% Common settings for all lectures in this course
|
||||
|
||||
\def\lecturename{Image Processing and Computer Vision}
|
||||
|
||||
\title{\insertlecture}
|
||||
|
||||
\author{\textbf{LE Thanh Sach}}
|
||||
|
||||
\institute
|
||||
{
|
||||
\textit{Faculty of Computer Science and Engineering}\\
|
||||
\textit{Ho Chi Minh University of Technology, VNU-HCM}
|
||||
}
|
||||
|
||||
\subject{Lecturer \lecturename}
|
||||
|
||||
% Beamer version theme settings
|
||||
|
||||
\useoutertheme[height=0pt,width=2cm,right]{sidebar}
|
||||
\usecolortheme{rose,sidebartab}
|
||||
\useinnertheme{circles}
|
||||
\usefonttheme[only large]{structurebold}
|
||||
|
||||
\setbeamercolor{sidebar right}{bg=black!15}
|
||||
\setbeamercolor{structure}{fg=blue}
|
||||
\setbeamercolor{author}{parent=structure}
|
||||
|
||||
\setbeamerfont{title}{series=\normalfont,size=\LARGE}
|
||||
\setbeamerfont{title in sidebar}{series=\bfseries}
|
||||
\setbeamerfont{author in sidebar}{series=\bfseries}
|
||||
\setbeamerfont*{item}{series=}
|
||||
\setbeamerfont{frametitle}{size=}
|
||||
\setbeamerfont{block title}{size=\small}
|
||||
\setbeamerfont{subtitle}{size=\normalsize,series=\normalfont}
|
||||
|
||||
\setbeamertemplate{navigation symbols}{}
|
||||
\setbeamertemplate{bibliography item}[book]
|
||||
\setbeamertemplate{sidebar right}
|
||||
{
|
||||
{\usebeamerfont{title in sidebar}%
|
||||
\vskip1.5em%
|
||||
\hskip3pt%
|
||||
\usebeamercolor[fg]{title in sidebar}%
|
||||
\insertshorttitle[width=2cm,center,respectlinebreaks]\par%
|
||||
\vskip1.25em%
|
||||
}%
|
||||
{%
|
||||
\hskip3pt%
|
||||
\usebeamercolor[fg]{author in sidebar}%
|
||||
\usebeamerfont{author in sidebar}%
|
||||
\insertshortauthor[width=2cm,center,respectlinebreaks]\par%
|
||||
\vskip1.25em%
|
||||
}%
|
||||
\hbox to2cm{\hss\insertlogo\hss}
|
||||
\vskip1.25em%
|
||||
\insertverticalnavigation{2cm}%
|
||||
\vfill
|
||||
\hbox to 2cm{\hfill\usebeamerfont{subsection in
|
||||
sidebar}\strut\usebeamercolor[fg]{subsection in
|
||||
sidebar}\insertshortlecture.\insertframenumber\hskip5pt}%
|
||||
\vskip3pt%
|
||||
}%
|
||||
|
||||
\setbeamertemplate{title page}
|
||||
{
|
||||
\vbox{}
|
||||
\vskip1em
|
||||
{\huge Chapter \insertshortlecture\par}
|
||||
{\usebeamercolor[fg]{title}\usebeamerfont{title}\inserttitle\par}%
|
||||
\ifx\insertsubtitle\@empty%
|
||||
\else%
|
||||
\vskip0.25em%
|
||||
{\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}%
|
||||
\fi%
|
||||
\vskip1em\par
|
||||
\emph{\lecturename}\
|
||||
%on \insertdate\par
|
||||
\vskip3em\par
|
||||
|
||||
\leftskip=0pt plus1fill\insertauthor\par
|
||||
\insertinstitute\vskip1em
|
||||
}
|
||||
|
||||
\logo{\includegraphics[width=1.5cm]{hcmut.png}}
|
||||
|
||||
|
||||
|
||||
% Article version layout settings
|
||||
|
||||
\mode<article>
|
||||
|
||||
\makeatletter
|
||||
\def\@listI{\leftmargin\leftmargini
|
||||
\parsep 0pt
|
||||
\topsep 5\p@ \@plus3\p@ \@minus5\p@
|
||||
\itemsep0pt}
|
||||
\let\@listi=\@listI
|
||||
|
||||
|
||||
\setbeamertemplate{frametitle}{\paragraph*{\insertframetitle\
|
||||
\ \small\insertframesubtitle}\ \par
|
||||
}
|
||||
\setbeamertemplate{frame end}{%
|
||||
\marginpar{\scriptsize\hbox to 1cm{\sffamily%
|
||||
\hfill\strut\insertshortlecture.\insertframenumber}\hrule height .2pt}}
|
||||
\setlength{\marginparwidth}{1cm}
|
||||
\setlength{\marginparsep}{4.5cm}
|
||||
|
||||
\def\@maketitle{\makechapter}
|
||||
|
||||
\def\makechapter{
|
||||
\newpage
|
||||
\null
|
||||
\vskip 2em%
|
||||
{%
|
||||
\parindent=0pt
|
||||
\raggedright
|
||||
\sffamily
|
||||
\vskip8pt
|
||||
{\fontsize{36pt}{36pt}\selectfont Chapter \insertshortlecture \par\vskip2pt}
|
||||
{\fontsize{24pt}{28pt}\selectfont \color{blue!50!black} \insertlecture\par\vskip4pt}
|
||||
{\Large\selectfont \color{blue!50!black} \insertsubtitle\par}
|
||||
\vskip10pt
|
||||
|
||||
\normalsize\selectfont Print version of
|
||||
Lecturer \emph{\lecturename} of \@date\par\vskip1.5em
|
||||
\hfill Le Thanh Sach and Luong The Nhan, Faculty of CSE, HCMC University of Technology
|
||||
}
|
||||
\par
|
||||
\vskip 1.5em%
|
||||
}
|
||||
|
||||
\let\origstartsection=\@startsection
|
||||
\def\@startsection#1#2#3#4#5#6{%
|
||||
\origstartsection{#1}{#2}{#3}{#4}{#5}{#6\normalfont\sffamily\color{blue!50!black}\selectfont}}
|
||||
|
||||
\makeatother
|
||||
|
||||
\mode
|
||||
<all>
|
||||
|
||||
|
||||
|
||||
|
||||
% Typesetting Listings
|
||||
|
||||
\usepackage{listings}
|
||||
\lstset{language=Java}
|
||||
|
||||
\alt<presentation>
|
||||
{\lstset{%
|
||||
basicstyle=\footnotesize\ttfamily,
|
||||
commentstyle=\slshape\color{green!50!black},
|
||||
keywordstyle=\bfseries\color{blue!50!black},
|
||||
identifierstyle=\color{blue},
|
||||
stringstyle=\color{orange},
|
||||
escapechar=\#,
|
||||
emphstyle=\color{red}}
|
||||
}
|
||||
{
|
||||
\lstset{%
|
||||
basicstyle=\ttfamily,
|
||||
keywordstyle=\bfseries,
|
||||
commentstyle=\itshape,
|
||||
escapechar=\#,
|
||||
emphstyle=\bfseries\color{red}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
% Common theorem-like environments
|
||||
|
||||
\theoremstyle{example}
|
||||
\newtheorem{exercise}[theorem]{\translate{Exercise}}
|
||||
|
||||
|
||||
% New useful definitions:
|
||||
|
||||
\newbox\mytempbox
|
||||
\newdimen\mytempdimen
|
||||
|
||||
\newcommand\includegraphicscopyright[3][]{%
|
||||
\leavevmode\vbox{\vskip3pt\raggedright\setbox\mytempbox=\hbox{\includegraphics[#1]{#2}}%
|
||||
\mytempdimen=\wd\mytempbox\box\mytempbox\par\vskip1pt%
|
||||
\fontsize{3}{3.5}\selectfont{\color{black!25}{\vbox{\hsize=\mytempdimen#3}}}\vskip3pt%
|
||||
}}
|
||||
|
||||
\newenvironment{colortabular}[1]{\medskip\rowcolors[]{1}{blue!20}{blue!10}\tabular{#1}\rowcolor{blue!40}}{\endtabular\medskip}
|
||||
|
||||
\def\equad{\leavevmode\hbox{}\quad}
|
||||
|
||||
\newenvironment{greencolortabular}[1]
|
||||
{\medskip\rowcolors[]{1}{green!50!black!20}{green!50!black!10}%
|
||||
\tabular{#1}\rowcolor{green!50!black!40}}%
|
||||
{\endtabular\medskip}
|
||||
BIN
resource/Sources/Decription/euler_number.png
Normal file
BIN
resource/Sources/Decription/euler_number.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 50 KiB |
BIN
resource/Sources/Decription/euler_number2.png
Normal file
BIN
resource/Sources/Decription/euler_number2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 55 KiB |
BIN
resource/Sources/Decription/fourier.png
Normal file
BIN
resource/Sources/Decription/fourier.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 140 KiB |
BIN
resource/Sources/Decription/fourier2.png
Normal file
BIN
resource/Sources/Decription/fourier2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 68 KiB |
BIN
resource/Sources/Decription/hcmut.png
Normal file
BIN
resource/Sources/Decription/hcmut.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 15 KiB |
BIN
resource/Sources/Decription/major_minor_axes.png
Normal file
BIN
resource/Sources/Decription/major_minor_axes.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 214 KiB |
446
resource/Sources/Decription/mathpartir.sty
Normal file
446
resource/Sources/Decription/mathpartir.sty
Normal file
@ -0,0 +1,446 @@
|
||||
% Mathpartir --- Math Paragraph for Typesetting Inference Rules
|
||||
%
|
||||
% Copyright (C) 2001, 2002, 2003, 2004, 2005 Didier Rémy
|
||||
%
|
||||
% Author : Didier Remy
|
||||
% Version : 1.2.0
|
||||
% Bug Reports : to author
|
||||
% Web Site : http://pauillac.inria.fr/~remy/latex/
|
||||
%
|
||||
% Mathpartir is free software; you can redistribute it and/or modify
|
||||
% it under the terms of the GNU General Public License as published by
|
||||
% the Free Software Foundation; either version 2, or (at your option)
|
||||
% any later version.
|
||||
%
|
||||
% Mathpartir is distributed in the hope that it will be useful,
|
||||
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
% GNU General Public License for more details
|
||||
% (http://pauillac.inria.fr/~remy/license/GPL).
|
||||
%
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% File mathpartir.sty (LaTeX macros)
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\NeedsTeXFormat{LaTeX2e}
|
||||
\ProvidesPackage{mathpartir}
|
||||
[2005/12/20 version 1.2.0 Math Paragraph for Typesetting Inference Rules]
|
||||
|
||||
%%
|
||||
|
||||
%% Identification
|
||||
%% Preliminary declarations
|
||||
|
||||
\RequirePackage {keyval}
|
||||
|
||||
%% Options
|
||||
%% More declarations
|
||||
|
||||
%% PART I: Typesetting maths in paragraphe mode
|
||||
|
||||
%% \newdimen \mpr@tmpdim
|
||||
%% Dimens are a precious ressource. Uses seems to be local.
|
||||
\let \mpr@tmpdim \@tempdima
|
||||
|
||||
% To ensure hevea \hva compatibility, \hva should expands to nothing
|
||||
% in mathpar or in inferrule
|
||||
\let \mpr@hva \empty
|
||||
|
||||
%% normal paragraph parametters, should rather be taken dynamically
|
||||
\def \mpr@savepar {%
|
||||
\edef \MathparNormalpar
|
||||
{\noexpand \lineskiplimit \the\lineskiplimit
|
||||
\noexpand \lineskip \the\lineskip}%
|
||||
}
|
||||
|
||||
\def \mpr@rulelineskip {\lineskiplimit=0.3em\lineskip=0.2em plus 0.1em}
|
||||
\def \mpr@lesslineskip {\lineskiplimit=0.6em\lineskip=0.5em plus 0.2em}
|
||||
\def \mpr@lineskip {\lineskiplimit=1.2em\lineskip=1.2em plus 0.2em}
|
||||
\let \MathparLineskip \mpr@lineskip
|
||||
\def \mpr@paroptions {\MathparLineskip}
|
||||
\let \mpr@prebindings \relax
|
||||
|
||||
\newskip \mpr@andskip \mpr@andskip 2em plus 0.5fil minus 0.5em
|
||||
|
||||
\def \mpr@goodbreakand
|
||||
{\hskip -\mpr@andskip \penalty -1000\hskip \mpr@andskip}
|
||||
\def \mpr@and {\hskip \mpr@andskip}
|
||||
\def \mpr@andcr {\penalty 50\mpr@and}
|
||||
\def \mpr@cr {\penalty -10000\mpr@and}
|
||||
\def \mpr@eqno #1{\mpr@andcr #1\hskip 0em plus -1fil \penalty 10}
|
||||
|
||||
\def \mpr@bindings {%
|
||||
\let \and \mpr@andcr
|
||||
\let \par \mpr@andcr
|
||||
\let \\\mpr@cr
|
||||
\let \eqno \mpr@eqno
|
||||
\let \hva \mpr@hva
|
||||
}
|
||||
\let \MathparBindings \mpr@bindings
|
||||
|
||||
% \@ifundefined {ignorespacesafterend}
|
||||
% {\def \ignorespacesafterend {\aftergroup \ignorespaces}
|
||||
|
||||
\newenvironment{mathpar}[1][]
|
||||
{$$\mpr@savepar \parskip 0em \hsize \linewidth \centering
|
||||
\vbox \bgroup \mpr@prebindings \mpr@paroptions #1\ifmmode $\else
|
||||
\noindent $\displaystyle\fi
|
||||
\MathparBindings}
|
||||
{\unskip \ifmmode $\fi\egroup $$\ignorespacesafterend}
|
||||
|
||||
\newenvironment{mathparpagebreakable}[1][]
|
||||
{\begingroup
|
||||
\par
|
||||
\mpr@savepar \parskip 0em \hsize \linewidth \centering
|
||||
\mpr@prebindings \mpr@paroptions #1%
|
||||
\vskip \abovedisplayskip \vskip -\lineskip%
|
||||
\ifmmode \else $\displaystyle\fi
|
||||
\MathparBindings
|
||||
}
|
||||
{\unskip
|
||||
\ifmmode $\fi \par\endgroup
|
||||
\vskip \belowdisplayskip
|
||||
\noindent
|
||||
\ignorespacesafterend}
|
||||
|
||||
% \def \math@mathpar #1{\setbox0 \hbox {$\displaystyle #1$}\ifnum
|
||||
% \wd0 < \hsize $$\box0$$\else \bmathpar #1\emathpar \fi}
|
||||
|
||||
%%% HOV BOXES
|
||||
|
||||
\def \mathvbox@ #1{\hbox \bgroup \mpr@normallineskip
|
||||
\vbox \bgroup \tabskip 0em \let \\ \cr
|
||||
\halign \bgroup \hfil $##$\hfil\cr #1\crcr \egroup \egroup
|
||||
\egroup}
|
||||
|
||||
\def \mathhvbox@ #1{\setbox0 \hbox {\let \\\qquad $#1$}\ifnum \wd0 < \hsize
|
||||
\box0\else \mathvbox {#1}\fi}
|
||||
|
||||
|
||||
%% Part II -- operations on lists
|
||||
|
||||
\newtoks \mpr@lista
|
||||
\newtoks \mpr@listb
|
||||
|
||||
\long \def\mpr@cons #1\mpr@to#2{\mpr@lista {\\{#1}}\mpr@listb \expandafter
|
||||
{#2}\edef #2{\the \mpr@lista \the \mpr@listb}}
|
||||
|
||||
\long \def\mpr@snoc #1\mpr@to#2{\mpr@lista {\\{#1}}\mpr@listb \expandafter
|
||||
{#2}\edef #2{\the \mpr@listb\the\mpr@lista}}
|
||||
|
||||
\long \def \mpr@concat#1=#2\mpr@to#3{\mpr@lista \expandafter {#2}\mpr@listb
|
||||
\expandafter {#3}\edef #1{\the \mpr@listb\the\mpr@lista}}
|
||||
|
||||
\def \mpr@head #1\mpr@to #2{\expandafter \mpr@head@ #1\mpr@head@ #1#2}
|
||||
\long \def \mpr@head@ #1#2\mpr@head@ #3#4{\def #4{#1}\def#3{#2}}
|
||||
|
||||
\def \mpr@flatten #1\mpr@to #2{\expandafter \mpr@flatten@ #1\mpr@flatten@ #1#2}
|
||||
\long \def \mpr@flatten@ \\#1\\#2\mpr@flatten@ #3#4{\def #4{#1}\def #3{\\#2}}
|
||||
|
||||
\def \mpr@makelist #1\mpr@to #2{\def \mpr@all {#1}%
|
||||
\mpr@lista {\\}\mpr@listb \expandafter {\mpr@all}\edef \mpr@all {\the
|
||||
\mpr@lista \the \mpr@listb \the \mpr@lista}\let #2\empty
|
||||
\def \mpr@stripof ##1##2\mpr@stripend{\def \mpr@stripped{##2}}\loop
|
||||
\mpr@flatten \mpr@all \mpr@to \mpr@one
|
||||
\expandafter \mpr@snoc \mpr@one \mpr@to #2\expandafter \mpr@stripof
|
||||
\mpr@all \mpr@stripend
|
||||
\ifx \mpr@stripped \empty \let \mpr@isempty 0\else \let \mpr@isempty 1\fi
|
||||
\ifx 1\mpr@isempty
|
||||
\repeat
|
||||
}
|
||||
|
||||
\def \mpr@rev #1\mpr@to #2{\let \mpr@tmp \empty
|
||||
\def \\##1{\mpr@cons ##1\mpr@to \mpr@tmp}#1\let #2\mpr@tmp}
|
||||
|
||||
%% Part III -- Type inference rules
|
||||
|
||||
\newif \if@premisse
|
||||
\newbox \mpr@hlist
|
||||
\newbox \mpr@vlist
|
||||
\newif \ifmpr@center \mpr@centertrue
|
||||
\def \mpr@htovlist {%
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\strut
|
||||
\ifmpr@center \hskip -0.5\wd\mpr@hlist\fi
|
||||
\unhbox \mpr@hlist}%
|
||||
\setbox \mpr@vlist
|
||||
\vbox {\if@premisse \box \mpr@hlist \unvbox \mpr@vlist
|
||||
\else \unvbox \mpr@vlist \box \mpr@hlist
|
||||
\fi}%
|
||||
}
|
||||
% OLD version
|
||||
% \def \mpr@htovlist {%
|
||||
% \setbox \mpr@hlist
|
||||
% \hbox {\strut \hskip -0.5\wd\mpr@hlist \unhbox \mpr@hlist}%
|
||||
% \setbox \mpr@vlist
|
||||
% \vbox {\if@premisse \box \mpr@hlist \unvbox \mpr@vlist
|
||||
% \else \unvbox \mpr@vlist \box \mpr@hlist
|
||||
% \fi}%
|
||||
% }
|
||||
|
||||
\def \mpr@item #1{$\displaystyle #1$}
|
||||
\def \mpr@sep{2em}
|
||||
\def \mpr@blank { }
|
||||
\def \mpr@hovbox #1#2{\hbox
|
||||
\bgroup
|
||||
\ifx #1T\@premissetrue
|
||||
\else \ifx #1B\@premissefalse
|
||||
\else
|
||||
\PackageError{mathpartir}
|
||||
{Premisse orientation should either be T or B}
|
||||
{Fatal error in Package}%
|
||||
\fi \fi
|
||||
\def \@test {#2}\ifx \@test \mpr@blank\else
|
||||
\setbox \mpr@hlist \hbox {}%
|
||||
\setbox \mpr@vlist \vbox {}%
|
||||
\if@premisse \let \snoc \mpr@cons \else \let \snoc \mpr@snoc \fi
|
||||
\let \@hvlist \empty \let \@rev \empty
|
||||
\mpr@tmpdim 0em
|
||||
\expandafter \mpr@makelist #2\mpr@to \mpr@flat
|
||||
\if@premisse \mpr@rev \mpr@flat \mpr@to \@rev \else \let \@rev \mpr@flat \fi
|
||||
\def \\##1{%
|
||||
\def \@test {##1}\ifx \@test \empty
|
||||
\mpr@htovlist
|
||||
\mpr@tmpdim 0em %%% last bug fix not extensively checked
|
||||
\else
|
||||
\setbox0 \hbox{\mpr@item {##1}}\relax
|
||||
\advance \mpr@tmpdim by \wd0
|
||||
%\mpr@tmpdim 1.02\mpr@tmpdim
|
||||
\ifnum \mpr@tmpdim < \hsize
|
||||
\ifnum \wd\mpr@hlist > 0
|
||||
\if@premisse
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\unhbox0 \hskip \mpr@sep \unhbox \mpr@hlist}%
|
||||
\else
|
||||
\setbox \mpr@hlist
|
||||
\hbox {\unhbox \mpr@hlist \hskip \mpr@sep \unhbox0}%
|
||||
\fi
|
||||
\else
|
||||
\setbox \mpr@hlist \hbox {\unhbox0}%
|
||||
\fi
|
||||
\else
|
||||
\ifnum \wd \mpr@hlist > 0
|
||||
\mpr@htovlist
|
||||
\mpr@tmpdim \wd0
|
||||
\fi
|
||||
\setbox \mpr@hlist \hbox {\unhbox0}%
|
||||
\fi
|
||||
\advance \mpr@tmpdim by \mpr@sep
|
||||
\fi
|
||||
}%
|
||||
\@rev
|
||||
\mpr@htovlist
|
||||
\ifmpr@center \hskip \wd\mpr@vlist\fi \box \mpr@vlist
|
||||
\fi
|
||||
\egroup
|
||||
}
|
||||
|
||||
%%% INFERENCE RULES
|
||||
|
||||
\@ifundefined{@@over}{%
|
||||
\let\@@over\over % fallback if amsmath is not loaded
|
||||
\let\@@overwithdelims\overwithdelims
|
||||
\let\@@atop\atop \let\@@atopwithdelims\atopwithdelims
|
||||
\let\@@above\above \let\@@abovewithdelims\abovewithdelims
|
||||
}{}
|
||||
|
||||
%% The default
|
||||
|
||||
\def \mpr@@fraction #1#2{\hbox {\advance \hsize by -0.5em
|
||||
$\displaystyle {#1\mpr@over #2}$}}
|
||||
\def \mpr@@nofraction #1#2{\hbox {\advance \hsize by -0.5em
|
||||
$\displaystyle {#1\@@atop #2}$}}
|
||||
|
||||
\let \mpr@fraction \mpr@@fraction
|
||||
|
||||
%% A generic solution to arrow
|
||||
|
||||
\def \mpr@make@fraction #1#2#3#4#5{\hbox {%
|
||||
\def \mpr@tail{#1}%
|
||||
\def \mpr@body{#2}%
|
||||
\def \mpr@head{#3}%
|
||||
\setbox1=\hbox{$#4$}\setbox2=\hbox{$#5$}%
|
||||
\setbox3=\hbox{$\mkern -3mu\mpr@body\mkern -3mu$}%
|
||||
\setbox3=\hbox{$\mkern -3mu \mpr@body\mkern -3mu$}%
|
||||
\dimen0=\dp1\advance\dimen0 by \ht3\relax\dp1\dimen0\relax
|
||||
\dimen0=\ht2\advance\dimen0 by \dp3\relax\ht2\dimen0\relax
|
||||
\setbox0=\hbox {$\box1 \@@atop \box2$}%
|
||||
\dimen0=\wd0\box0
|
||||
\box0 \hskip -\dimen0\relax
|
||||
\hbox to \dimen0 {$%
|
||||
\mathrel{\mpr@tail}\joinrel
|
||||
\xleaders\hbox{\copy3}\hfil\joinrel\mathrel{\mpr@head}%
|
||||
$}}}
|
||||
|
||||
%% Old stuff should be removed in next version
|
||||
\def \mpr@@nothing #1#2
|
||||
{$\lower 0.01pt \mpr@@nofraction {#1}{#2}$}
|
||||
\def \mpr@@reduce #1#2{\hbox
|
||||
{$\lower 0.01pt \mpr@@fraction {#1}{#2}\mkern -15mu\rightarrow$}}
|
||||
\def \mpr@@rewrite #1#2#3{\hbox
|
||||
{$\lower 0.01pt \mpr@@fraction {#2}{#3}\mkern -8mu#1$}}
|
||||
\def \mpr@infercenter #1{\vcenter {\mpr@hovbox{T}{#1}}}
|
||||
|
||||
\def \mpr@empty {}
|
||||
\def \mpr@inferrule
|
||||
{\bgroup
|
||||
\ifnum \linewidth<\hsize \hsize \linewidth\fi
|
||||
\mpr@rulelineskip
|
||||
\let \and \qquad
|
||||
\let \hva \mpr@hva
|
||||
\let \@rulename \mpr@empty
|
||||
\let \@rule@options \mpr@empty
|
||||
\let \mpr@over \@@over
|
||||
\mpr@inferrule@}
|
||||
\newcommand {\mpr@inferrule@}[3][]
|
||||
{\everymath={\displaystyle}%
|
||||
\def \@test {#2}\ifx \empty \@test
|
||||
\setbox0 \hbox {$\vcenter {\mpr@hovbox{B}{#3}}$}%
|
||||
\else
|
||||
\def \@test {#3}\ifx \empty \@test
|
||||
\setbox0 \hbox {$\vcenter {\mpr@hovbox{T}{#2}}$}%
|
||||
\else
|
||||
\setbox0 \mpr@fraction {\mpr@hovbox{T}{#2}}{\mpr@hovbox{B}{#3}}%
|
||||
\fi \fi
|
||||
\def \@test {#1}\ifx \@test\empty \box0
|
||||
\else \vbox
|
||||
%%% Suggestion de Francois pour les etiquettes longues
|
||||
%%% {\hbox to \wd0 {\RefTirName {#1}\hfil}\box0}\fi
|
||||
{\hbox {\RefTirName {#1}}\box0}\fi
|
||||
\egroup}
|
||||
|
||||
\def \mpr@vdotfil #1{\vbox to #1{\leaders \hbox{$\cdot$} \vfil}}
|
||||
|
||||
% They are two forms
|
||||
% \inferrule [label]{[premisses}{conclusions}
|
||||
% or
|
||||
% \inferrule* [options]{[premisses}{conclusions}
|
||||
%
|
||||
% Premisses and conclusions are lists of elements separated by \\
|
||||
% Each \\ produces a break, attempting horizontal breaks if possible,
|
||||
% and vertical breaks if needed.
|
||||
%
|
||||
% An empty element obtained by \\\\ produces a vertical break in all cases.
|
||||
%
|
||||
% The former rule is aligned on the fraction bar.
|
||||
% The optional label appears on top of the rule
|
||||
% The second form to be used in a derivation tree is aligned on the last
|
||||
% line of its conclusion
|
||||
%
|
||||
% The second form can be parameterized, using the key=val interface. The
|
||||
% folloiwng keys are recognized:
|
||||
%
|
||||
% width set the width of the rule to val
|
||||
% narrower set the width of the rule to val\hsize
|
||||
% before execute val at the beginning/left
|
||||
% lab put a label [Val] on top of the rule
|
||||
% lskip add negative skip on the right
|
||||
% left put a left label [Val]
|
||||
% Left put a left label [Val], ignoring its width
|
||||
% right put a right label [Val]
|
||||
% Right put a right label [Val], ignoring its width
|
||||
% leftskip skip negative space on the left-hand side
|
||||
% rightskip skip negative space on the right-hand side
|
||||
% vdots lift the rule by val and fill vertical space with dots
|
||||
% after execute val at the end/right
|
||||
%
|
||||
% Note that most options must come in this order to avoid strange
|
||||
% typesetting (in particular leftskip must preceed left and Left and
|
||||
% rightskip must follow Right or right; vdots must come last
|
||||
% or be only followed by rightskip.
|
||||
%
|
||||
|
||||
%% Keys that make sence in all kinds of rules
|
||||
\def \mprset #1{\setkeys{mprset}{#1}}
|
||||
\define@key {mprset}{andskip}[]{\mpr@andskip=#1}
|
||||
\define@key {mprset}{lineskip}[]{\lineskip=#1}
|
||||
\define@key {mprset}{flushleft}[]{\mpr@centerfalse}
|
||||
\define@key {mprset}{center}[]{\mpr@centertrue}
|
||||
\define@key {mprset}{rewrite}[]{\let \mpr@fraction \mpr@@rewrite}
|
||||
\define@key {mprset}{atop}[]{\let \mpr@fraction \mpr@@nofraction}
|
||||
\define@key {mprset}{myfraction}[]{\let \mpr@fraction #1}
|
||||
\define@key {mprset}{fraction}[]{\def \mpr@fraction {\mpr@make@fraction #1}}
|
||||
\define@key {mprset}{sep}{\def\mpr@sep{#1}}
|
||||
|
||||
\newbox \mpr@right
|
||||
\define@key {mpr}{flushleft}[]{\mpr@centerfalse}
|
||||
\define@key {mpr}{center}[]{\mpr@centertrue}
|
||||
\define@key {mpr}{rewrite}[]{\let \mpr@fraction \mpr@@rewrite}
|
||||
\define@key {mpr}{myfraction}[]{\let \mpr@fraction #1}
|
||||
\define@key {mpr}{fraction}[]{\def \mpr@fraction {\mpr@make@fraction #1}}
|
||||
\define@key {mpr}{left}{\setbox0 \hbox {$\TirName {#1}\;$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{width}{\hsize #1}
|
||||
\define@key {mpr}{sep}{\def\mpr@sep{#1}}
|
||||
\define@key {mpr}{before}{#1}
|
||||
\define@key {mpr}{lab}{\let \RefTirName \TirName \def \mpr@rulename {#1}}
|
||||
\define@key {mpr}{Lab}{\let \RefTirName \TirName \def \mpr@rulename {#1}}
|
||||
\define@key {mpr}{narrower}{\hsize #1\hsize}
|
||||
\define@key {mpr}{leftskip}{\hskip -#1}
|
||||
\define@key {mpr}{reduce}[]{\let \mpr@fraction \mpr@@reduce}
|
||||
\define@key {mpr}{rightskip}
|
||||
{\setbox \mpr@right \hbox {\unhbox \mpr@right \hskip -#1}}
|
||||
\define@key {mpr}{LEFT}{\setbox0 \hbox {$#1$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{left}{\setbox0 \hbox {$\TirName {#1}\;$}\relax
|
||||
\advance \hsize by -\wd0\box0}
|
||||
\define@key {mpr}{Left}{\llap{$\TirName {#1}\;$}}
|
||||
\define@key {mpr}{right}
|
||||
{\setbox0 \hbox {$\;\TirName {#1}$}\relax \advance \hsize by -\wd0
|
||||
\setbox \mpr@right \hbox {\unhbox \mpr@right \unhbox0}}
|
||||
\define@key {mpr}{RIGHT}
|
||||
{\setbox0 \hbox {$#1$}\relax \advance \hsize by -\wd0
|
||||
\setbox \mpr@right \hbox {\unhbox \mpr@right \unhbox0}}
|
||||
\define@key {mpr}{Right}
|
||||
{\setbox \mpr@right \hbox {\unhbox \mpr@right \rlap {$\;\TirName {#1}$}}}
|
||||
\define@key {mpr}{vdots}{\def \mpr@vdots {\@@atop \mpr@vdotfil{#1}}}
|
||||
\define@key {mpr}{after}{\edef \mpr@after {\mpr@after #1}}
|
||||
|
||||
\newcommand \mpr@inferstar@ [3][]{\setbox0
|
||||
\hbox {\let \mpr@rulename \mpr@empty \let \mpr@vdots \relax
|
||||
\setbox \mpr@right \hbox{}%
|
||||
$\setkeys{mpr}{#1}%
|
||||
\ifx \mpr@rulename \mpr@empty \mpr@inferrule {#2}{#3}\else
|
||||
\mpr@inferrule [{\mpr@rulename}]{#2}{#3}\fi
|
||||
\box \mpr@right \mpr@vdots$}
|
||||
\setbox1 \hbox {\strut}
|
||||
\@tempdima \dp0 \advance \@tempdima by -\dp1
|
||||
\raise \@tempdima \box0}
|
||||
|
||||
\def \mpr@infer {\@ifnextchar *{\mpr@inferstar}{\mpr@inferrule}}
|
||||
\newcommand \mpr@err@skipargs[3][]{}
|
||||
\def \mpr@inferstar*{\ifmmode
|
||||
\let \@do \mpr@inferstar@
|
||||
\else
|
||||
\let \@do \mpr@err@skipargs
|
||||
\PackageError {mathpartir}
|
||||
{\string\inferrule* can only be used in math mode}{}%
|
||||
\fi \@do}
|
||||
|
||||
|
||||
%%% Exports
|
||||
|
||||
% Envirnonment mathpar
|
||||
|
||||
\let \inferrule \mpr@infer
|
||||
|
||||
% make a short name \infer is not already defined
|
||||
\@ifundefined {infer}{\let \infer \mpr@infer}{}
|
||||
|
||||
\def \TirNameStyle #1{\small \textsc{#1}}
|
||||
\def \tir@name #1{\hbox {\small \TirNameStyle{#1}}}
|
||||
\let \TirName \tir@name
|
||||
\let \DefTirName \TirName
|
||||
\let \RefTirName \TirName
|
||||
|
||||
%%% Other Exports
|
||||
|
||||
% \let \listcons \mpr@cons
|
||||
% \let \listsnoc \mpr@snoc
|
||||
% \let \listhead \mpr@head
|
||||
% \let \listmake \mpr@makelist
|
||||
|
||||
|
||||
|
||||
|
||||
\endinput
|
||||
1108
resource/Sources/Decription/mathtools.sty
Normal file
1108
resource/Sources/Decription/mathtools.sty
Normal file
File diff suppressed because it is too large
Load Diff
166
resource/Sources/Decription/mhsetup.sty
Normal file
166
resource/Sources/Decription/mhsetup.sty
Normal file
@ -0,0 +1,166 @@
|
||||
%%
|
||||
%% This is file `mhsetup.sty',
|
||||
%% generated with the docstrip utility.
|
||||
%%
|
||||
%% The original source files were:
|
||||
%%
|
||||
%% mhsetup.dtx (with options: `package')
|
||||
%%
|
||||
%% It may be distributed and/or modified under the
|
||||
%% conditions of the LaTeX Project Public License, either version 1.3
|
||||
%% of this license or (at your option) any later version.
|
||||
%% The latest version of this license is in
|
||||
%% http://www.latex-project.org/lppl.txt
|
||||
%% and version 1.3 or later is part of all distributions of LaTeX
|
||||
%% version 2003/12/01 or later.
|
||||
%%
|
||||
%% This work has the LPPL maintenance status "maintained".
|
||||
%%
|
||||
%% The Current Maintainer of this work is Morten H\o gholm.
|
||||
%%
|
||||
%% This work consists of the files mhsetup.dtx and mhsetup.ins and
|
||||
%% the derived file mhsetup.sty.
|
||||
%%
|
||||
\NeedsTeXFormat{LaTeX2e}
|
||||
\ProvidesPackage{mhsetup}
|
||||
[2004/10/10 v1.0b programming setup (MH)]
|
||||
\def\MHInternalSyntaxOn{
|
||||
\edef\MHInternalSyntaxOff{%
|
||||
\catcode`\noexpand\~=\the\catcode`\~\relax
|
||||
\catcode`\noexpand\ =\the\catcode`\ \relax
|
||||
\catcode`\noexpand\^^I=\the\catcode`\^^I\relax
|
||||
\catcode`\noexpand\@=\the\catcode`\@\relax
|
||||
\catcode`\noexpand\:=\the\catcode`\:\relax
|
||||
\catcode`\noexpand\_=\the\catcode`\_\relax
|
||||
\endlinechar=\the\endlinechar\relax
|
||||
}%
|
||||
\catcode`\~=10\relax
|
||||
\catcode`\ =9\relax
|
||||
\catcode`\^^I=9\relax
|
||||
\makeatletter
|
||||
\catcode`\_=11\relax
|
||||
\catcode`\:=11\relax
|
||||
\endlinechar=` %
|
||||
\relax
|
||||
}
|
||||
\MHInternalSyntaxOn
|
||||
\AtEndOfPackage{\MHInternalSyntaxOff}
|
||||
\let\MH_let:NwN \let
|
||||
\def\MH_let:cN #1#2{
|
||||
\expandafter\MH_let:NwN \csname#1\endcsname#2}
|
||||
\def\MH_let:cc #1#2{
|
||||
\expandafter\MH_let:NwN\csname#1\expandafter\endcsname
|
||||
\csname#2\endcsname}
|
||||
\def\MH_new_boolean:n #1{
|
||||
\expandafter\@ifdefinable\csname if_boolean_#1:\endcsname{
|
||||
\@namedef{boolean_#1_true:}
|
||||
{\MH_let:cN{if_boolean_#1:}\iftrue}
|
||||
\@namedef{boolean_#1_false:}
|
||||
{\MH_let:cN{if_boolean_#1:}\iffalse}
|
||||
\@nameuse{boolean_#1_false:}%
|
||||
}
|
||||
}
|
||||
\def\MH_set_boolean_F:n #1{ \@nameuse{boolean_#1_false:} }
|
||||
\def\MH_set_boolean_T:n #1{ \@nameuse{boolean_#1_true:} }
|
||||
\def\MH_if_boolean:nTF #1{
|
||||
\@nameuse{if_boolean_#1:}
|
||||
\expandafter\@firstoftwo
|
||||
\else:
|
||||
\expandafter\@secondoftwo
|
||||
\fi:
|
||||
}
|
||||
\def\MH_if_boolean:nT #1{
|
||||
\@nameuse{if_boolean_#1:}
|
||||
\expandafter\@firstofone
|
||||
\else:
|
||||
\expandafter\@gobble
|
||||
\fi:
|
||||
}
|
||||
\def\MH_if_boolean:nF #1{
|
||||
\@nameuse{if_boolean_#1:}
|
||||
\expandafter\@gobble
|
||||
\else:
|
||||
\expandafter\@firstofone
|
||||
\fi:
|
||||
}
|
||||
\@ifundefined{if:w}{\MH_let:NwN \if:w =\if}{}
|
||||
\@ifundefined{if_meaning:NN}{\MH_let:NwN \if_meaning:NN =\ifx}{}
|
||||
\@ifundefined{else:}{\MH_let:NwN \else:=\else}{}
|
||||
\@ifundefined{fi:}{\MH_let:NwN \fi:=\fi}{}
|
||||
\@ifundefined{if_num:w}{\MH_let:NwN \if_num:w =\ifnum}{}
|
||||
\@ifundefined{if_dim:w}{\MH_let:NwN \if_dim:w =\ifdim}{}
|
||||
\@ifundefined{if_case:w}{\MH_let:NwN \if_case:w =\ifcase}{}
|
||||
\@ifundefined{or:}{\MH_let:NwN \or:=\or}{}
|
||||
\def\MH_cs_to_str:N {\expandafter\@gobble\string}
|
||||
\@ifundefined{eTeXversion}
|
||||
{
|
||||
\MH_let:NwN \MH_protected:\relax
|
||||
\def\MH_setlength:dn{\setlength}
|
||||
\def\MH_addtolength:dn{\addtolength}
|
||||
}
|
||||
{
|
||||
\MH_let:NwN \MH_protected:\protected
|
||||
\def\MH_setlength:dn #1#2{#1=\dimexpr#2\relax\relax}
|
||||
\def\MH_addtolength:dn #1#2{\advance#1 \dimexpr#2\relax\relax}
|
||||
}
|
||||
|
||||
\def\MH_keyval_alias_with_addon:nnnn #1#2#3#4{
|
||||
\@namedef{KV@#1@#2}{\@nameuse{KV@#1@#3}#4}
|
||||
\@namedef{KV@#1@#2@default}{\@nameuse{KV@#1@#3@default}#4}}
|
||||
\def\MH_keyval_alias:nnn #1#2#3{
|
||||
\MH_keyval_alias_with_addon:nnnn {#1}{#2}{#3}{}}
|
||||
\def\MH_use_choice_i:nnnn #1#2#3#4{#1}
|
||||
\def\MH_use_choice_ii:nnnn #1#2#3#4{#2}
|
||||
\def\MH_use_choice_iii:nnnn #1#2#3#4{#3}
|
||||
\def\MH_use_choice_iv:nnnn #1#2#3#4{#4}
|
||||
\long\def\MH_nospace_ifnextchar:Nnn #1#2#3{
|
||||
\MH_let:NwN\reserved@d=~#1
|
||||
\def\reserved@a{#2}
|
||||
\def\reserved@b{#3}
|
||||
\futurelet\@let@token\MH_nospace_nextchar:
|
||||
}
|
||||
\def\MH_nospace_nextchar:{
|
||||
\if_meaning:NN \@let@token\reserved@d
|
||||
\MH_let:NwN \reserved@b\reserved@a
|
||||
\fi:
|
||||
\reserved@b
|
||||
}
|
||||
\long\def\MH_nospace_testopt:nn #1#2{
|
||||
\MH_nospace_ifnextchar:Nnn[
|
||||
{#1}
|
||||
{#1[{#2}]}
|
||||
}
|
||||
\def\MH_nospace_protected_testopt:n #1{
|
||||
\if_meaning:NN \protect\@typeset@protect
|
||||
\expandafter\MH_nospace_testopt:nn
|
||||
\else:
|
||||
\@x@protect#1
|
||||
\fi:
|
||||
}
|
||||
\@ifundefined{kernel@ifnextchar}
|
||||
{\MH_let:NwN \kernel@ifnextchar \@ifnextchar}
|
||||
{}
|
||||
\MH_let:NwN \MH_kernel_xargdef:nwwn \@xargdef
|
||||
\long\def\MH_nospace_xargdef:nwwn #1[#2][#3]#4{
|
||||
\@ifdefinable#1{
|
||||
\expandafter\def\expandafter#1\expandafter{
|
||||
\expandafter
|
||||
\MH_nospace_protected_testopt:n
|
||||
\expandafter
|
||||
#1
|
||||
\csname\string#1\endcsname
|
||||
{#3}}
|
||||
\expandafter\@yargdef
|
||||
\csname\string#1\endcsname
|
||||
\tw@
|
||||
{#2}
|
||||
{#4}}}
|
||||
\providecommand*\MHPrecedingSpacesOff{
|
||||
\MH_let:NwN \@xargdef \MH_nospace_xargdef:nwwn
|
||||
}
|
||||
\providecommand*\MHPrecedingSpacesOn{
|
||||
\MH_let:NwN \@xargdef \MH_kernel_xargdef:nwwn
|
||||
}
|
||||
\endinput
|
||||
%%
|
||||
%% End of file `mhsetup.sty'.
|
||||
BIN
resource/Sources/Decription/moment_1.png
Normal file
BIN
resource/Sources/Decription/moment_1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 429 KiB |
BIN
resource/Sources/Decription/moment_2.png
Normal file
BIN
resource/Sources/Decription/moment_2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 92 KiB |
BIN
resource/Sources/Decription/pca_1.png
Normal file
BIN
resource/Sources/Decription/pca_1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 1.2 MiB |
BIN
resource/Sources/Decription/pca_2.png
Normal file
BIN
resource/Sources/Decription/pca_2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 1.2 MiB |
BIN
resource/Sources/Decription/pca_3.png
Normal file
BIN
resource/Sources/Decription/pca_3.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 150 KiB |
BIN
resource/Sources/Decription/perimeter.png
Normal file
BIN
resource/Sources/Decription/perimeter.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 56 KiB |
BIN
resource/Sources/Decription/shape_number.png
Normal file
BIN
resource/Sources/Decription/shape_number.png
Normal file
Binary file not shown.
|
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