a function with the simplest form to calculate the mutual information
by
HU xb
10 Jun 2013
Here is a function with the simplest form to calculate the mutual information between two images.

test_mi

function test_mi
% Test for the function to calculate the MI between two images
% just run it!
img = imread('peppers.png');
im2 = img(:,:,2); % green component of the RGB image
im3 = img(:,:,3); % blue component of the RGB image
[h w] = size(im2);
p2 = im2(h/250:h/2+50,w/250:w/2+50); % a patch in the middle of im2
f = [];
for t = 50:50
p3 = im2(h/250:h/2+50,t+w/250:t+w/2+50); % a patch around the middle of im3
f = [ f cal_mi(p2,p3)];
end
figure,imshow(im2),title('the Green component of the RGB image');
figure,imshow(im3),title('the Blue component of the RGB image');
figure,plot(f),title('the MI value between two patchs from the left to right side');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function f = cal_mi(I1,I2)
% A function with the simplest form to
% compute Mutual Information of two images
% written by HU Xiubing
% Wuhan University,China
% huxb@whu.edu.cn
size1 = size(I1);
size2 = size(I2);
if ne(size1,size2)
error('Please enter the same size images ! ');
end
I1 = I1(:);
I2 = I2(:);
min1 = min(I1); max1 = max(I1);
min2 = min(I2); max2 = max(I2);
N1 = max1  min1 + 1; % Grayscale of the image I1
N2 = max2  min2 + 1; % Grayscale of the image I2
ht = zeros(N1,N2); % Joint histogram
for n = 1:length(I1);
ht(I1(n)min1+1,I2(n)min2+1) = ht(I1(n)min1+1,I2(n)min2+1) + 1;
end
ht = ht/length(I1); % normalized joint histogram
ym = sum(ht ); % sum of the rows of normalized joint histogram
xm = sum(ht'); % sum of columns of normalized joint histogran
Hy = sum(ym.*log2(ym+(ym==0)));
Hx = sum(xm.*log2(xm+(xm==0)));
h_xy = sum(sum(ht.*log2(ht+(ht==0)))); % joint entropy
f = (Hx+Hy)/h_xy; % Mutual information


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