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Math Help - Generate Points in Polygon

  1. #1
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    Generate Points in Polygon

    Hey all!

    I need to write a little application. My Basic Problem is i have a polygonal area which is not rectangular but isn't too complex as well, just a few vertex points building the polygonal area.

    So, i need to place random starting points in this polygonal area. I googled and googled and of course found quite some stuff. Most interesting is the "Ray Casting Algorithm" from Point in polygon - Wikipedia, the free encyclopedia and other sources, but what bothers me is the fact that it's a test on a point if it's in or out the poly. But what if i want to generate points in the Polygon? do i generate random coordinates within a bounding box of the polygon and test them if they're in the poly and if they are, i actually create them?? This doesn't sound very effective to me..

    Has anybody an idea or a hint on how to generate random coordinates within this polygonal area "directly"?

    Thanks a lot for any help.

    Cheers,
    Poly
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  2. #2
    MHF Contributor

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    To be honest, I cannot say that I really follow what you are trying to do.
    But if the polygon is convex the you may explore lines of support.
    A convex polygon has all sides on the same side of a line of support.
    I suggest that you do a search on the terms “convex” and “line of support”.
    For a non-convex polygon, I think one would have to reduce it to convex sub-polygons.
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