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稀疏表示字典的显示【MATLAB实现】
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本文主要是實現(xiàn)論文--基于稀疏表示的圖像超分辨率《Image Super-Resolution Via Sparse Representation》中的Figure2，通過對100000個高分辨率和低分辨率圖像塊訓(xùn)練得到的高分辨率圖像塊字典， 字典原子總數(shù)為512，圖像塊尺寸大小為9X9
方法一：
[cpp]?view plaincopy
clc;?? clear?all;?? ?? %?load?dictionary?? load('Dictionary/D_512_0.15_9.mat' );?? ?? patch_size=9;?? nRow=24;?? nCol=22;?? D=Dh';?? w=nCol*patch_size;?? h=nRow*patch_size;?? ?? gridx?=?1:patch_size?:w;???? gridx?=?[gridx,?w-patch_size+1];???? gridy?=?1:patch_size?:?h;???? gridy?=?[gridy,?h-patch_size+1];???? K=512;?%字典原子總數(shù)?? DD=cell(1,K);?? row=length(gridx);?? col=length(gridy);?? hIm=zeros([w,h]);?? for ?i=1:K?? ????DD{i}=D(i,:);?? end?? ?? for ?ii?=?1:length(gridx),?? ????for ?jj?=?1:length(gridy),?? ????????yy?=?gridx(ii);?? ????????xx?=?gridy(jj);?? ????????if ?(ii-1)*nRow+jj?>K?? ????????????break ?? ????????end?? ????????temp=DD{(ii-1)*nCol+jj};?? ????????hPatch=reshape(temp,[patch_size,patch_size]);?? ????????hIm(yy:yy+patch_size-1,?xx:xx+patch_size-1)?=?hIm(yy:yy+patch_size-1,?xx:xx+patch_size-1)?+hPatch;?? ?????end?? end?? ?? figure;?? imagesc(hIm);?? colormap(gray);?? axis?image;??
輸出結(jié)果：
可以看出，相比于論文中字典的顯示圖，顏色有點淺，通過調(diào)節(jié)MATLAB的colorbar，可以將背景顏色變深，
結(jié)果如下圖所示：
方法二：
通過http://www.cs.technion.ac.il/~elad/software/提供的ksvd工具箱中的displayDictionaryElementsAsImage( )函數(shù)，來實現(xiàn)字典的顯示。
displayDictionaryElementsAsImage.m
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function?I?=?displayDictionaryElementsAsImage2(D,?numRows,?numCols,X,Y,sortVarFlag)?? %?function?I?=?displayDictionaryElementsAsImage(D,?numRows,?numCols,?X,Y)?? %?displays?the?dictionary?atoms?as?blocks.?For?activation,?the?dictionary?D?? %?should?be?given,?as?also?the?number?of?rows?(numRows)?and?columns?? %?(numCols)?for ?the?atoms?to?be?displayed.?X?and?Y?are?the?dimensions?of?? %?each?atom.?? ?? borderSize?=?1;?? columnScanFlag?=?1;?? strechEachVecFlag?=?1;?? showImFlag?=?1;?? ?? if ?(length(who( 'X' ))==0)?? ????X?=?8;?? ????Y?=?8;?? end?? if ?(length(who( 'sortVarFlag' ))==0)?? ????sortVarFlag?=?1;?? end?? ?? numElems?=?size(D,2);?? if ?(length(who( 'numRows' ))==0)?? ????numRows?=?floor(sqrt(numElems));?? ????numCols?=?numRows;?? end?? if ?(length(who( 'strechEachVecFlag' ))==0)??? ????strechEachVecFlag?=?0;?? end?? if ?(length(who( 'showImFlag' ))==0)??? ????showImFlag?=?1;?? end?? ?? %%%?sort?the?elements,?if ?necessary.?? %%%?construct?the?image?to?display?(I)?? sizeForEachImage?=?sqrt(size(D,1))+borderSize;?? I?=?zeros(sizeForEachImage*numRows+borderSize,sizeForEachImage*numCols+borderSize,3);?? %%%?fill?all?this ?image?in?blue?? I(:,:,1)?=?1;?%min(min(D));?? I(:,:,2)?=?1;?%min(min(D));?? I(:,:,3)?=?1;?%max(max(D));?? %?%%%?fill?all?this ?image?in?blue?? %?I(:,:,1)?=?0;?%min(min(D));?? %?I(:,:,2)?=?0;?%min(min(D));?? %?I(:,:,3)?=?1;?%max(max(D));?? ?? %%%?now?fill?the?image?squares?with?the?elements?(in?row?scan?or?column?? %%%?scan).?? if ?(strechEachVecFlag)?? ????for ?counter?=?1:size(D,2)?? ????????D(:,counter)?=?D(:,counter)-min(D(:,counter));?? ????????if ?(max(D(:,counter)))?? ????????????D(:,counter)?=?D(:,counter)./max(D(:,counter));?? ????????end?? ????end?? end?? ?? ?? if ?(sortVarFlag)?? ????vars?=?var(D);?? ????[V,indices]?=?sort(vars');?? ????indices?=?fliplr(indices);?? ????D?=?[D(:,1:sortVarFlag-1),D(:,indices+sortVarFlag-1)];?? ????signs?=?sign(D(1,:));?? ????signs(find(signs==0))?=?1;?? ????D?=?D.*repmat(signs,size(D,1),1);?? ????D?=?D(:,1:numRows*numCols);?? end?? ?? counter=1;?? for ?j?=?1:numRows?? ????for ?i?=?1:numCols?? %?????????if ?(strechEachVecFlag)?? %?????????????D(:,counter)?=?D(:,counter)-min(D(:,counter));?? %?????????????D(:,counter)?=?D(:,counter)./max(D(:,counter));?? %?????????end?? %?????????if ?(columnScanFlag==1)?? %?????????????I(borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,1)=reshape(D(:,counter),8,8);?? %?????????????I(borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,2)=reshape(D(:,counter),8,8);?? %?????????????I(borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,3)=reshape(D(:,counter),8,8);?? %?????????else ?? ????????????%?Go?in?Column?Scan:?? ????????????I(borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,1)=reshape(D(:,counter),X,Y);?? ????????????I(borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,2)=reshape(D(:,counter),X,Y);?? ????????????I(borderSize+(j-1)*sizeForEachImage+1:j*sizeForEachImage,borderSize+(i-1)*sizeForEachImage+1:i*sizeForEachImage,3)=reshape(D(:,counter),X,Y);?? %?????????end?? ????????counter?=?counter+1;?? ????end?? end?? ?? if ?(showImFlag)??? ????I?=?I-min(min(min(I)));?? ????I?=?I./max(max(max(I)));?? ????imshow(I,[]);?? end??
測試程序
displayDictionary_test.m
[cpp]?view plaincopy
clc;?? clear?all;?? ?? %加載字典?? load('F:\Research\ScSR\ScSR\Dictionary\D_512_0.15_9.mat' );?? ?? patch_size=9;?? D=Dh;?? K=512;?? figure;?? %調(diào)用KSVD工具箱中的字典顯示函數(shù)?? im=displayDictionaryElementsAsImage(D,?floor(sqrt(K)),?floor(size(D,2)/floor(sqrt(K))),patch_size,patch_size);??
輸出結(jié)果：
方法三：
因為方法一顯示的字典圖像偏灰，對比度不強，所以通過對字典原子像素值進行拉伸變化到0-1，增強圖像對比度。
[cpp]?view plaincopy
clc;?? clear?all;?? ?? %?load?dictionary?? load('Dictionary/D_512_0.15_9.mat' );?? ?? patch_size=9;?? nRow=24;?? nCol=22;?? D=Dh';?? w=nCol*patch_size;?? h=nRow*patch_size;?? ?? gridx?=?1:patch_size?:w;???? gridx?=?[gridx,?w-patch_size+1];???? gridy?=?1:patch_size?:?h;???? gridy?=?[gridy,?h-patch_size+1];???? K=512;?%字典原子總數(shù)?? DD=cell(1,K);?? row=length(gridx);?? col=length(gridy);?? hIm=zeros([w,h]);?? for ?i=1:K?? ????DD{i}=D(i,:);?? end?? ?? for ?ii?=?1:length(gridx),?? ????for ?jj?=?1:length(gridy),?? ????????yy?=?gridx(ii);?? ????????xx?=?gridy(jj);?? ????????if ?(ii-1)*nRow+jj?>K?? ????????????break ?? ????????end?? ????????temp=DD{(ii-1)*nCol+jj};?? ????????hPatch=reshape(temp,[patch_size,patch_size]);?? ????????I=hPatch;?? ????????I?=?I-min(min(min(I)));???? ????????I?=?I./max(max(max(I)));%對字典原子像素值進行拉伸變化到0-1???? ????????hIm(yy:yy+patch_size-1,?xx:xx+patch_size-1)?=?hIm(yy:yy+patch_size-1,?xx:xx+patch_size-1)?+I;??????? ?????end?? end?? ?? figure;?? imshow(hIm);??
調(diào)整參數(shù)，將字典原子像素值拉伸變換到0-0.7
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hPatch=reshape(temp,[patch_size,patch_size]);?? I=hPatch;?? I?=?I-min(min(min(I)));???? I?=?0.7*I./max(max(max(I)));%對字典原子像素值進行拉伸變化到0-0.7???? 總結(jié)
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