Generating polygons from n random points in 2-D plane

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Amit 2015-7-21

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https://ww2.mathworks.cn/matlabcentral/answers/230597-generating-polygons-from-n-random-points-in-2-d-plane

评论： Amit 2015-10-29

Hello all: If I have n random points in a 2-D plane, what may be the approach to: (1) Count, (2) generate, the various possible n-point polygons (all available points should be the vertices).

Thanks immensely for your help.

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Kirby Fears 2015-9-16

Is your only constraint that no pair of lines should cross? Do you care if the polygon is convex?

As you said, in each of n! combinations of vertices, you could come up with a cleverly efficient way to check if any lines cross.

Amit 2015-10-29

Dear Kirby Fears, thanks for the comment. No I do not care if the polygon is convex. Thanks. Please let me know if you have any further insights. Regards, Amit

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