Intersection between surface and planes

2018 5 3
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更新时间：2018 5 3
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Hi,
I have an image and I want to select a specific part on it. The part of interest on the image is a valley. My idea in order to extract it is to make intersections between planes - in all directions - and the surface of the image. Then, I will conserve the plane whose intersection values are minimal.
This is the 3D representation of the image :
My question : how can I make intersection with that surface which I defined as follows ?
x = 1:size(image,1);
y = 1:size(image,2);
[X,Y] = meshgrid(x,y);
surf(X,Y,image');
Thanks for any help.

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