Vectorize operations referencing adjacent elements of a matrix
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I have made the simple code:
for i=2:xsize-1
for j=2:ysize-1
for n=2:zsize-1
matrix(i,j,n)=matrix(i,j,n)+0.2*(matrix(i,j,n)*6-matrix(i-1,j,n)-matrix(i+1,j,n)-matrix(i,j-1,n)-matrix(i,j+1,n)-matrix(i,j,n-1)-matrix(i,j,n+1));
end
end
end
This is part of a diffusion problem and it is particularly slow because the 3D matrix is large. Is it possible to vectorize an operation like this? How do you vectorize references to the matrix like this?
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Andrei Bobrov
2014년 2월 18일
편집: Andrei Bobrov
2014년 2월 18일
out = convn(matrix,cat(3,[0 0 0;0 -1 0;0 0 0],...
[0 -1 0;-1 1 -1;0 -1 0],...
[0 0 0;0 -1 0;0 0 0]),'valid');
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