From 654b6b08602bcc6530ffff6bfd9c4bc7f0120acd Mon Sep 17 00:00:00 2001 From: gribse Date: Fri, 8 Dec 2023 19:18:12 +0000 Subject: [PATCH] initial commit --- compression.py | 59 +++++++++++++++++++++ compressionRGB.py | 127 ++++++++++++++++++++++++++++++++++++++++++++++ mini.jpg | Bin 0 -> 825762 bytes 3 files changed, 186 insertions(+) create mode 100644 compression.py create mode 100644 compressionRGB.py create mode 100644 mini.jpg diff --git a/compression.py b/compression.py new file mode 100644 index 0000000..afc84c2 --- /dev/null +++ b/compression.py @@ -0,0 +1,59 @@ +# -*- coding: utf-8 -*- +import matplotlib.pyplot as plt +import numpy as np + + + + +#import image +imCol = plt.imread("mini.jpg", format=None) +imNb = 1/3 * imCol[:,:,0]+ 1/3 * imCol[:,:,1] + 1/3 * imCol[:,:,2]; + +#R + +# compress +iterationsGlobales = 5 +iterations = 20 + +imComp = imNb +FF= [[]]*len(imComp[:,0]) +GG= [[]]*len(imComp[0,:]) + +for x in range(iterationsGlobales): + F=np.ones((len(imComp[:,0]), 1)) + G=np.ones((len(imComp[0,:]), 1)) + for y in range(iterations): + F = np.dot(imComp, G) / np.dot(np.transpose(G), G) + G = np.dot(np.transpose(imComp), F) / np.dot(np.transpose(F), F) + FF = np.append(FF, F, 1) + GG = np.append(GG, G, 1) + + + + imComp = imComp - np.dot(F,np.transpose(G)) + + +imRecons = np.dot(FF,np.transpose(GG)) +#imRecons = np.dot(FF[:,None],GG[None,:]) + +plt.figure(dpi=1200) + + +plt.subplot(1, 3, 1) +plt.axis('off') + +plt.title("Image importée", fontdict=None, loc='center', pad=None) +plt.imshow(imNb, interpolation = "nearest", cmap = 'gray') + + +plt.subplot(1, 3, 2) +plt.axis('off') +plt.title("Erreur", fontdict=None, loc='center', pad=None) +plt.imshow(np.dot(F,np.transpose(G)), interpolation = "nearest", cmap = 'gray') + + +plt.subplot(1, 3, 3) +plt.axis('off') +plt.title("Image compressée", fontdict=None, loc='center', pad=None) +plt.imshow(imRecons, interpolation = "nearest", cmap = 'gray') +plt.show() \ No newline at end of file diff --git a/compressionRGB.py b/compressionRGB.py new file mode 100644 index 0000000..15c71ca --- /dev/null +++ b/compressionRGB.py @@ -0,0 +1,127 @@ +# -*- coding: utf-8 -*- +import matplotlib.pyplot as plt +import numpy as np +from PIL import Image +import PIL + + +#import image +imCol = plt.imread("mini.jpg", format=None) +imRecons = np.zeros((len(imCol[:,0]), len(imCol[0,:]), 3)) +erreur = np.ones((len(imCol[:,0]), len(imCol[0,:]), 3)) + +imRed = imCol[:,:,0] +imGreen = imCol[:,:,1] +imBlue = imCol[:,:,2]; + +iterationsGlobales = 5 +iterations = 20 + +#RED + +# compress + + + +FF= [[]]*len(imRed[:,0]) +GG= [[]]*len(imRed[0,:]) + +for x in range(iterationsGlobales): + F=np.ones((len(imRed[:,0]), 1)) + G=np.ones((len(imRed[0,:]), 1)) + for y in range(iterations): + F = np.dot(imRed, G) / np.dot(np.transpose(G), G) + G = np.dot(np.transpose(imRed), F) / np.dot(np.transpose(F), F) + FF = np.append(FF, F, 1) + GG = np.append(GG, G, 1) + + + + imRed = imRed - np.dot(F,np.transpose(G)) + +erreur[:,:,0] = imRed - np.dot(FF,np.transpose(GG)) +imRecons[:,:,0] = np.dot(FF,np.transpose(GG)) + +#GREEN + +# compress + + +FF= [[]]*len(imGreen[:,0]) +GG= [[]]*len(imGreen[0,:]) + +for x in range(iterationsGlobales): + F=np.ones((len(imGreen[:,0]), 1)) + G=np.ones((len(imGreen[0,:]), 1)) + for y in range(iterations): + F = np.dot(imGreen, G) / np.dot(np.transpose(G), G) + G = np.dot(np.transpose(imGreen), F) / np.dot(np.transpose(F), F) + FF = np.append(FF, F, 1) + GG = np.append(GG, G, 1) + + + + imGreen = imGreen - np.dot(F,np.transpose(G)) + +erreur[:,:,1] = imGreen - np.dot(FF,np.transpose(GG)) +imRecons[:,:,1] = np.dot(FF,np.transpose(GG)) +#BLUE + +# compress + + +FF= [[]]*len(imBlue[:,0]) +GG= [[]]*len(imBlue[0,:]) + +for x in range(iterationsGlobales): + F=np.ones((len(imBlue[:,0]), 1)) + G=np.ones((len(imBlue[0,:]), 1)) + for y in range(iterations): + F = np.dot(imBlue, G) / np.dot(np.transpose(G), G) + G = np.dot(np.transpose(imBlue), F) / np.dot(np.transpose(F), F) + FF = np.append(FF, F, 1) + GG = np.append(GG, G, 1) + + + + imBlue = imBlue - np.dot(F,np.transpose(G)) + + +erreur[:,:,2] = imBlue - np.dot(FF,np.transpose(GG)) +imRecons[:,:,2] = np.dot(FF,np.transpose(GG)) + + +imRecons = imRecons*255 + +imRecons = imRecons-100 +imRecons = imRecons*2 +imRecons = imRecons/255 +#erreur = erreur/255 + + +imRecons = np.round(imRecons, 1) +# plot +plt.figure(dpi=1200) + + +plt.subplot(1, 2, 1) +plt.axis('off') + +plt.title("Title", fontdict=None, loc='center', pad=None) +plt.imshow(imCol, interpolation = "nearest") + + +#plt.subplot(1, 3, 2) +#plt.axis('off') +#plt.title("Erreur", fontdict=None, loc='center', pad=None) +#plt.imshow(erreur, interpolation = "nearest") + + +plt.subplot(1, 2, 2) +plt.axis('off') +plt.title("Title", fontdict=None, loc='center', pad=None) +plt.imshow(imRecons, interpolation = "nearest") +plt.show() + +tauxComp = round(100-((len(imCol[:,0])+len(imCol[0,:]))*iterationsGlobales)/((len(imCol[:,0])*len(imCol[0,:])))*100,0) +print(tauxComp, "% de compression") \ No newline at end of file diff --git a/mini.jpg b/mini.jpg new file mode 100644 index 0000000000000000000000000000000000000000..6ad51723b65051b614a6f6af0ee0c1825f01ad32 GIT binary patch literal 825762 zcmb@sWl&u~*Cx7gcXvBDAy{yCcbDMq?he6n4o+})cMSvxF2UU`1Pv10hIgjE`lfEp zt@~r{>e{=X>a}{w?%iG0z4~qWZ5zOpmzI+Tpr8N%>b(GOyU?O?5)#I$>MGK5icgwrJ{-^D~$kg23<-hR%p?=qUyZ9gN05JFA|G@wMYC^KG zbT@w&x_Ey)+}@49J8SWdajpLs_W2Js`(OC$f3TaTy2QIo{yS!{{@<|K|AxIiTs+=o zM*bsj?&9_zy#9_g9UVOXW9vWkACFNjowPLGYu)#U6mSRB0U1F29smDI|NT9k3ju)l z1^{3Z{=3aA0|4400f2DzzuQ3h0Dutz0IgFlrf#PH(;3+JH?)-%09=&;0Gb{E;7kJm zvcZ2j`rm#3do2E6VBL;4=4^Lw!d8~{sz5|9I&0CRx#9dQ6`06W0_UwZ$a_1hXC z@&4QV-_d`R{NHJK@BP*bU?IY8!ScdDQ3KFeP%v0fZvz0u`?$gZFz@{T@*Dvc4jvH+ z8U`7FLU|X^!UUk9phfM{*vm@Y$AyTX1a+uP%BH@XLswWoU zgE$-dW-iQ-2_)QhE(vM5!ieZJ3h9$(i9c~mnm6`qT6!e!zN;mFpI@;5yIJ5}Jsdm$ zg@A~J{LWXz0-*k55Dozb1{Mki3L4{onxz8Zu-V1bOyO~;T|+q%3;tsZ0e1&c{1T5w z-OTOXdRP(?S7HAw0j&g~q(&E2cFRR9$R>OEu_EIv8wgQ@qhh=`*KqaE 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