稀疏表示字典的显示【MATLAB实现】

稀疏表⽰字典的显⽰【MATLAB实现】

本⽂主要是实现论⽂--基于稀疏表⽰的图像超分辨率《Image Super-Resolution Via Sparse Representation》中的Figure2，通过对100000个⾼分辨率和低分辨率图像块训练得到的⾼分辨率图像块字典，字典原⼦总数为512，图像块尺⼨⼤⼩为9X9

⽅法⼀：

[cpp]

1. clc;

2. clear all;

4. % load dictionary

5. load('Dictionary/D_512_0.15_9.mat');

7. patch_size=9;

8. nRow=24;

9. nCol=22;

索拉非尼10. D=Dh';

11. w=nCol*patch_size;

12. h=nRow*patch_size;

13.

14. gridx = 1:patch_size :w;

15. gridx = [gridx, w-patch_size+1];

16. gridy = 1:patch_size : h;

17. gridy = [gridy, h-patch_size+1];

18. K=512; %字典原⼦总数

19. DD=cell(1,K);

20. row=length(gridx);

21. col=length(gridy);

22. hIm=zeros([w,h]);

23. for i=1:K

24. DD{i}=D(i,:);

25. end

26.

27. for ii = 1:length(gridx),

28. for jj = 1:length(gridy),

29. yy = gridx(ii);

30. xx = gridy(jj);

31. if (ii-1)*nRow+jj >K

32. break

33. end

34. temp=DD{(ii-1)*nCol+jj};

杀气三时作阵云35. hPatch=reshape(temp,[patch_size,patch_size]);

36. hIm(yy:yy+patch_size-1, xx:xx+patch_size-1) = hIm(yy:yy+patch_size-1, xx:xx+patch_size-1) +hPatch;

37. end

38. end

39.

40. figure;

41. imagesc(hIm);

党的十五大报告全文42. colormap(gray);

43. axis image;

输出结果：

穿红裙子的语文老师可以看出，相⽐于论⽂中字典的显⽰图，颜⾊有点浅，通过调节MATLAB的colorbar，可以将背景颜⾊变深，结果如下图所⽰：

⽅法⼆：

displayDictionaryElementsAsImage.m

[cpp]

1. function I = displayDictionaryElementsAsImage2(D, numRows, numCols,X,Y,sortVarFlag)

2. % function I = displayDictionaryElementsAsImage(D, numRows, numCols, X,Y)

3. % displays the dictionary atoms as blocks. For activation, the dictionary D

4. % should be given, as also the number of rows (numRows) and columns

5. % (numCols) for the atoms to be displayed. X and Y are the dimensions of

6. % each atom.

8. borderSize = 1;

9. columnScanFlag = 1;

10. strechEachVecFlag = 1;

11. showImFlag = 1;

12.

13. if (length(who('X'))==0)

14. X = 8;

15. Y = 8;

16. end

17. if (length(who('sortVarFlag'))==0)

18. sortVarFlag = 1;

19. end

20.

21. numElems = size(D,2);

22. if (length(who('numRows'))==0)

23. numRows = floor(sqrt(numElems));

24. numCols = numRows;

25. end

26. if (length(who('strechEachVecFlag'))==0)

27. strechEachVecFlag = 0;

28. end

29. if (length(who('showImFlag'))==0)

30. showImFlag = 1;

31. end

32.

33. %%% sort the elements, if necessary.

自己的花是让别人看的教学设计34. %%% construct the image to display (I)

35. sizeForEachImage = sqrt(size(D,1))+borderSize;

36. I = zeros(sizeForEachImage*numRows+borderSize,sizeForEachImage*numCols+borderSize,3);

37. %%% fill all this image in blue

38. I(:,:,1) = 1; %min(min(D));

39. I(:,:,2) = 1; %min(min(D));

40. I(:,:,3) = 1; %max(max(D));

41. % %%% fill all this image in blue

42. % I(:,:,1) = 0; %min(min(D));

43. % I(:,:,2) = 0; %min(min(D));

44. % I(:,:,3) = 1; %max(max(D));

45.

46. %%% now fill the image squares with the elements (in row scan or column

47. %%% scan).

48. if (strechEachVecFlag)

49. for counter = 1:size(D,2)

50. D(:,counter) = D(:,counter)-min(D(:,counter));

东周刊事件

51. if (max(D(:,counter)))

52. D(:,counter) = D(:,counter)./max(D(:,counter));

53. end

54. end

55. end

56.

57.

58. if (sortVarFlag)

59. vars = var(D);

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