How to select all the elements of a point cloud that are aligned at +-45 degrees?

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Martha 2014-3-31

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https://ww2.mathworks.cn/matlabcentral/answers/123828-how-to-select-all-the-elements-of-a-point-cloud-that-are-aligned-at-45-degrees

Hi, I have a point cloud in x,y,z coordinates its shape is rectangular, and I want to select all the elements that are near a line that could be oriented at 45 degrees. None of the points are exactly at the position of a line if I draw it, so I need to specify a range of distances between the points and that imaginary line at 45 degrees.

Thank you in advance! Martha