Kernel Matrix apply convolution

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Patrick Carey 2015-4-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/197038-kernel-matrix-apply-convolution

评论： Tim Harrell 2021-9-17

I believe I am close to the correct answer for this problem. The question basically is to apply convolution to a numeric matrix A and the kernel matrix. Conditions are the kernel matrix must be normalised before it can be used, dividing each element of the kernel by the sum of all the elements of the kernel (I've done that properly already I think). Need to calculate the margin that needs to be left at the beginning and end of each for loop(which I believe is 3), ensuring that the kernel martix passes over every element of A without going out of bounds. Here is my script so far, as I said before I think I'm close:

 function [ B ] = kernelSmooth( A, kernel )
       B=zeros(7,7);
       nkernel = kernel./(sum(sum(kernal)));
       for row = 1:size(A,1)-3
       for col = 1:kernel-3
       tmpMat= B(row-3:row+3,col-3:col+3) .* nkernel;
       B(row,column) = sum(sum(tmpMat,3),1);
       end
end