How to calcululate the distance between 3D matrix elements to plane "Ax+By+Cz+D = 0" in a vectorized manner?

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raym 2017-6-2

0
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https://ww2.mathworks.cn/matlabcentral/answers/343051-how-to-calcululate-the-distance-between-3d-matrix-elements-to-plane-ax-by-cz-d-0-in-a-vectorize

回答： raym 2017-6-6

I have a 3D matrix M

M = zeros(405,706,1932);

Suppose putting matrix M into the x-y-z coordinate,with the x-axis indicating the size(M)(1),y-axis indicating the size(M)(2), and z-axis indicating size(M)(3).

I also have a plane "Ax+By+Cz+D = 0" .

For each element in this matrix, calculate the distance to plane using (Ax0+By0+Cz0+D)/sqrt(A^2+B^2+C^2), then use the results to replace the element itself. So each element in M is the distance to this place.

The "for... for... for ..." cycle is too slow, how to vectorize this command?