Extract arbitrarily rotated plane of data from 3D array as 2D array

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You can take a look at the code here. I think the function is similar to what you are trying to solve.

The function extracts an arbitrary plane from a volume given the size of the plane, the center point of the plane, and the plane normal, i.e. [A,B,C]. It also outputs the volumetric index and coordinate of each pixel on the plane.

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