Mean Square Error

function MSE = MeanSquareError(origImg, distImg) origImg = double(origImg);distImg = double(distImg); [M N] = size(origImg);error = origImg - distImg;MSE = sum(sum(error .* error)) / (M * N);

Peak to Signal Noise Ratio

function PSNR = PeakSignaltoNoiseRatio(origImg, distImg) origImg = double(origImg);distImg = double(distImg); [M N] = size(origImg);error = origImg - distImg;MSE = sum(sum(error .* error)) / (M * N); if(MSE > 0) PSNR = 10*log(255*255/MSE) / log(10);else PSNR = 99;end

Normalized Cross Correlation

function NK = NormalizedCrossCorrelation(origImg, distImg) origImg = double(origImg);distImg = double(distImg); NK = sum(sum(origImg .* distImg)) / sum(sum(origImg .* origImg));

Mean SSIM

function ssim = ssim_index(origImg, distImg) if (size(origImg) ~= size(distImg)) ssim = -Inf;

return;end [M N] = size(origImg); if (nargin == 2)

window = fspecial('gaussian', 11, 1.5); K(1) = 0.01; K(2) = 0.03; L = 255; end C1 = (K(1)*L)^2;C2 = (K(2)*L)^2;window = window/sum(sum(window));origImg = double(origImg);distImg = double(distImg); mu1 = filter2(window, origImg, 'valid');mu2 = filter2(window, distImg, 'valid');mu1_sq = mu1.*mu1;mu2_sq = mu2.*mu2;mu1_mu2 = mu1.*mu2;sigma1_sq = filter2(window, origImg.*origImg, 'valid') - mu1_sq;sigma2_sq = filter2(window, distImg.*distImg, 'valid') - mu2_sq;sigma12 = filter2(window, origImg.*distImg, 'valid') - mu1_mu2; if (C1 > 0 & C2 > 0)ssim_map = ((2*mu1_mu2 + C1).*(2*sigma12 + C2))./((mu1_sq + mu2_sq + C1).*(sigma1_sq + sigma2_sq + C2));else numerator1 = 2*mu1_mu2 + C1; numerator2 = 2*sigma12 + C2; denominator1 = mu1_sq + mu2_sq + C1; denominator2 = sigma1_sq + sigma2_sq + C2; ssim_map = ones(size(mu1)); index = (denominator1.*denominator2 > 0); ssim_map(index) = (numerator1(index).*numerator2(index))./(denominator1(index).*denominator2(index)); index = (denominator1 ~= 0) & (denominator2 == 0); ssim_map(index) = numerator1(index)./denominator1(index);end ssim = mean2(ssim_map);return