whitening transformation in matlab

To perform whitening transformation in MATLAB, you can follow these steps:

1. Read the image using the imread function and convert it to a double precision format:

   main.m
   % Read the image
   img = imread('image.jpg');
   
   % Convert to double precision
   img = im2double(img);
   97 chars
   6 lines

2. Calculate the mean and standard deviation of the image:

   main.m
   % Calculate the mean
   img_mean = mean(img(:));
   
   % Calculate the standard deviation
   img_std = std(img(:));
   105 chars
   6 lines

3. Apply the whitening transformation:

   main.m
   % Subtract the mean from the image
   img = img - img_mean;
   
   % Divide by the standard deviation
   img = img / img_std;
   114 chars
   6 lines

4. Ensure that the output image has zero mean and unit standard deviation:

   main.m
   % Calculate the new mean
   img_new_mean = mean(img(:));
   
   % Calculate the new standard deviation
   img_new_std = std(img(:));
   
   % Display the new mean and standard deviation
   disp(['New Mean: ' num2str(img_new_mean)]);
   disp(['New Standard Deviation: ' num2str(img_new_std)]);
   269 chars
   10 lines

Note that the resulting image will have zero mean and unit standard deviation, which is a desirable property for certain image processing tasks.

Remember to replace 'image.jpg' with the path to your image file.

• Reference: MATLAB Documentation - Whitening Transformation