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test_performance_HaLRTC.m
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test_performance_HaLRTC.m
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%---- Clear the Workspace ----
clear all
close all
%---- Download the test images ----
filename=cell(8,1);
filename{1}='airplane';
filename{2}='baboon';
filename{3}='barbara';
filename{4}='facade';
filename{5}='house';
filename{6}='lena';
filename{7}='peppers';
filename{8}='sailboat';
%---- Fix the random seed ----
rng(602)
ss
%---- C2F ----
for ff=1:8 % load the test images
myName=sprintf('test_images/%s.bmp',filename{ff}); % get the path of the selected image
A=imread(myName); % read the original image
figure(1); imshow(A); title('Original Figure'); % print the orignal image
myrate=0.70:0.10:0.90; % set the missing rate
myResult=cell(2,numel(myrate)); % build a cell to store the results
A=double(A)/255.0; % normalize the values of the image
for iterate=1:numel(myrate)
tic % start the timer
rate=1 - myrate(iterate); % the observed rate
[row, col, channel]=size(A); % record the size of the image
B=zeros([row, col, channel]); % build a all-zero tensor having the same size as A
mark=true([row, col, channel]); % build a all-one tensor having the same size as A
counter=1;
for i=1:row % for each row
for j=1:col % for each column
for k=1:channel % for each channel
if(rand()<rate) % if the random number is smaller than the rate
index(counter,1)=i; % each culumn of index records a coordinate of a pixel
index(counter,2)=j;
index(counter,3)=k;
value(counter)=A(i,j,k); % each element of value records the value of the pixel
B(i,j,k)=A(i,j,k); % B is the image with missing pixels
mark(i,j,k)=false; % mark is a tensor with binary values
counter=counter+1; % the number of observed pixels
end
end
end
end
figure(2);imshow(B); %title(['Figure with missing ratio ', num2str(1-rate)]); % show the image with missing value
tsize=[row, col, channel]; % the size of the image
% hyper parameters
alpha = [1, 1, 1e-3];
alpha = alpha / sum(alpha);
maxIter = 500;
epsilon = 1e-8;
rho = 0.001;
fprintf('-------------- HaLRTC -------------------\n');
lambda_1=0.5;
lambda_2=1000;
scale_num=5;
overlap_pixel=5; % a half
thre=0.1; % to decide to replace the particular patch or not
% initialize the metrics
rse_r{ff,iterate}=[]; % RSE
r_n{ff,iterate}=[]; % replace vector
psnr_r{ff,iterate}=[]; % PSNR
diff_r{ff,iterate}=[]; % differences between the coarse image and the restored patch
% padding A and B
A_pad=zeros(row+2*overlap_pixel, col+2*overlap_pixel, channel);
A_pad(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:)=A;
B_pad=zeros(row+2*overlap_pixel, col+2*overlap_pixel, channel);
B_pad(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:)=B;
B_padimage{ff,iterate}=B_pad;
% first complete the whole image
[index_temp]=find(B_pad(:));
value_temp=B_pad(index_temp);
%%%%%%%%%% LRTC completion %%%%%%%%%%
Omega = (B_pad ~= 0);
[Z_TRLRTV2_temp,~] = HaLRTC(B_pad, Omega, alpha, rho, maxIter, epsilon);
Z_LRTCTV2_completewhole{ff,iterate}=Z_TRLRTV2_temp;
tmpRSE_LRTC_TV2{ff,iterate}(1,1)=rse(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
tmpPSNR_LRTC_TV2{ff,iterate}(1,1)=psnr(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
% SSIM
tmpSSIM_LRTC_TV2{ff,iterate}(1,1)=calc_ssim(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
rse_r{ff,iterate}=[rse_r{ff,iterate}; tmpRSE_LRTC_TV2{ff,iterate}(1,1)];
r_n{ff,iterate}=[r_n{ff,iterate};1];
psnr_r{ff,iterate}=[psnr_r{ff,iterate}; tmpPSNR_LRTC_TV2{ff,iterate}(1,1)];
diff_r{ff,iterate}=[diff_r{ff,iterate};0];
% save the result got by pure LRTC
store_name=sprintf('pure_HaLRTC_restore_%s.mat',filename{ff});
save(store_name,'Z_TRLRTV2_temp')
% coarse level completion
figure(4);
imshow(Z_TRLRTV2_temp); title('Image Completed by pure LRTC method')
% do patch-wise completion
for i=2:scale_num
patch_size=[row/(2^(i-1))+2*overlap_pixel, col/(2^(i-1))+2*overlap_pixel, channel];
conv_mat1=1/2*ones(patch_size);
conv_mat1(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:)=ones(patch_size(1)-2*overlap_pixel,patch_size(2)-2*overlap_pixel,patch_size(3));
conv_mat2=1/2*ones(patch_size);
conv_mat2(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:)=zeros(patch_size(1)-2*overlap_pixel,patch_size(2)-2*overlap_pixel,patch_size(3));
for row_wise=1:2^(i-1)
for col_wise=1:2^(i-1)
B_temp=B_pad((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:);
CCCC = B_temp;
[index_temp]=find(B_temp(:));
value_temp=B_temp(index_temp);
B_temp=Z_TRLRTV2_temp((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:);
sizeBtemp=prod(size(B_temp));
vecBtemp=randperm(sizeBtemp);
index_temp=[index_temp;vecBtemp(1:floor(length(vecBtemp)*0.1))'];
value_temp=B_temp(index_temp);
if i<6
%%%%%%%%%% LRTC completion %%%%%%%%%%
alpha = [1, 1, 1e-3];
alpha = alpha / sum(alpha);
maxIter = 500;
epsilon = 1e-8;
rho = 0.001;
Omega = (CCCC ~= 0);
[Z_TRLRTV2_patch,~] = HaLRTC(CCCC, Omega, alpha, rho, maxIter, epsilon);
else
%%%%%%%%%% LRTC completion %%%%%%%%%%
Omega = (B_temp ~= 0);
[Z_TRLRTV2_patch,~] = HaLRTC(B_temp, Omega, alpha, rho, maxIter, epsilon);
Z_TRLRTV2_patch=imresize(Z_TRLRTV2_patch,[size(B_temp,1),size(B_temp,2)]);
end
diff=rse(Z_TRLRTV2_temp((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:),Z_TRLRTV2_patch);
diff_r{ff,iterate}=[diff_r{ff,iterate};diff];
% compare the patchs
figure(5);
subplot(3,1,1);
imshow(A_pad((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:))
title('Original Patch');
subplot(3,1,2);
imshow(Z_TRLRTV2_temp((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:))
title('k-th Completed Patch');
subplot(3,1,3);
imshow(Z_TRLRTV2_patch);
title('(k+1)-th Completed Patch');
if diff<thre
temp=Z_TRLRTV2_temp((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:);
Z_TRLRTV2_temp((row_wise-1)*(patch_size(1)-2*overlap_pixel)+1:(row_wise-1)*(patch_size(1)-2*overlap_pixel)+patch_size(1),(col_wise-1)*(patch_size(2)-2*overlap_pixel)+1:(col_wise-1)*(patch_size(2)-2*overlap_pixel)+patch_size(2),:)=Z_TRLRTV2_patch.*conv_mat1+temp.*conv_mat2;
r_n{ff,iterate}=[r_n{ff,iterate};1];
else
r_n{ff,iterate}=[r_n{ff,iterate};0];
end
figure(6);
imshow(Z_TRLRTV2_temp); title('Temporary Completed Image');
tmpRSE_LRTC_TV2{ff,iterate}(1,i)=rse(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
tmpPSNR_LRTC_TV2{ff,iterate}(1,i)=psnr(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
% SSIM
tmpSSIM_LRTC_TV2{ff,iterate}(1,i)=calc_ssim(A,Z_TRLRTV2_temp(overlap_pixel+1:end-overlap_pixel,overlap_pixel+1:end-overlap_pixel,:));
rse_r{ff,iterate}=[rse_r{ff,iterate};tmpRSE_LRTC_TV2{ff,iterate}(1,i)];
psnr_r{ff,iterate}=[psnr_r{ff,iterate};tmpPSNR_LRTC_TV2{ff,iterate}(1,i)];
end
end
end
Z_LRTCTV2_completepatch{ff,iterate}=Z_TRLRTV2_temp;
save C2F_HaLRTC_Results rse_r r_n psnr_r diff_r Z_LRTCTV2_completepatch Z_LRTCTV2_completewhole B_padimage tmpRSE_LRTC_TV2 tmpPSNR_LRTC_TV2
fprintf('per image per miss rate costs time: ')
toc
end
end