Why do I find different SSIM values depending on whether the images' intensity information is stored in the range [0 1] or [0 255]?
% Import an image using im2gray im = im2gray(imread('peppers.png')); % Convert this a double (without rescaling the values from the range 0-255) % and then modify the values slightly to create a distorted image. imdouble = double(im); imdouble_new = imdouble * 0.5; im_new = mat2gray(imdouble_new, [0 255]); % NB im_new is a grayscale image with values 0-1 rather than 0-255. If we % want to compare this image to the original using the SSIM metric we can % do so in 2 ways. % 1) Convert im into a 0-1 image matrix and use the ssim function. ssim_values_1 = ssim(mat2gray(imdouble, [0 255]), im_new); ssim_values_1(1) % 2) Just compare the double matrices using the ssim function. ssim_values_2 = ssim(imdouble, imdouble_new); ssim_values_2(1)
Ans = 0.7508
% 2) Just compare the double matrices using the ssim function. ssim_values_2 = ssim(imdouble, imdouble_new); ssim_values_2(1)
ans = 0.6400
% Import an image using im2gray im = rgb2gray(imread('peppers.png')); % Convert this a double (without rescaling the values from the range 0-255) % and then modify the values slightly to create a distorted image. imuint8 = double(im); imuint8_half = imuint8 * 0.5; imdouble = mat2gray(imuint8, [0 255]); imdouble_half = mat2gray(imuint8_half, [0 255]); % NB im_new is a grayscale image with values 0-1 rather than 0-255. If we % want to compare this image to the original using the SSIM metric we can % do so in 2 ways. % 1) Convert im into a 0-1 image matrix and use the ssim function. ssim_values_1 = ssim(imdouble, imdouble_half,'dynamicrange',1); ssim_values_1(1) % 2) Just compare the uint8-scale matrices using the ssim function. ssim_values_2 = ssim(imuint8, imuint8_half,'dynamicrange',255); ssim_values_2(1)
ans = 0.7508
% 2) Just compare the uint8-scale matrices using the ssim function. ssim_values_2 = ssim(imuint8, imuint8_half,'dynamicrange',255); ssim_values_2(1)
ans = 0.7508
Note that I renamed the variables so that their names describe to their data range.
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