Non-monotonic surface slice

Dear all, Is there any way to manage a point cloud that represents a non-monotonic surface (more than one Z value per X,Y pair) in Matlab? Particularly, I need to be able to make 2D cross-sections, or in order words, to do an interpolation so that for a given plane I can 'slice' the surface and obtain a profile (a series of either X,Y or X,Y,Z points). Another possibility for me is to work directly with a triangular mesh. I would then need to import a .obj or .ply file and then slice it into profiles according to predefined planes. The key point here is that the surface is non-monotonic, so interpolating functions of the form z=f(x,y) cannot be applied. I will appreciate any help in this respect. Kind regards, Gonzalo

[Ben Drebing]

Check out this answer: https://www.mathworks.com/matlabcentral/answers/347789-cross-section-of-pointcloud#answer_273276

Does this help?