MATLAB: Multiply Image Pixels by a Matrix

vectorization

Hello, Let's say I have a 3 channel image M -> [numRowx * numColumns * numChannels]. I also have a 3 by 3 matrix A (Color Conbersion).
I would like to multiply each pixel 3 channel by the matrix to have a new 3 channels pixel.
How would you do that the most efficient way without writing the actual formula by hand (Multiplying each channel of the image by a row)?
My best so far is:
rgbToYPbPrMat = [0.299, 0.587, 0.144; 0.5, -0.419, -0.081; -0.169, -0.331, 0.5];
yPbPrToRgbMat = inv(rgbToYPbPrMat);
inputImage = randi([0, 255], [256, 256, 3], 'uint8');
inputImageFP = double(inputImage) / 255; %<! Floating Point
figure;
image(inputImage);
axis image;
inputImageYPbPrFP = shiftdim(reshape((rgbToYPbPrMat * reshape(shiftdim(inputImageFP, 2), [3, (256 * 256)])), [3, 256, 256]), 1);
Thanks.

Best Answer

I cannot check it currently, but please try:
M = rand(numRows, numColumns, 3);
T = rand(3, 3);
P = reshape(M, numRows * numColumns, 3) * T';
Result = reshape(P, numRows, numColumns, 3);
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