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giantwe

Simple polygon intersection

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Hi all!

I've been looking for an optimal algorithm for the simple polygon intersection problem. That is: given 2 simple polygons (i.e. without self-intersection) report of all intersecting edge pairs in O(n+k), where n - is a number of polygons' edges and k - is a number of intersection. Hence the algorithm is output sensetive. Also for me perfomance is very critical, so linear time is important.

Very strange that I had spent a lot of time googling it but haven't find a lot of information. Just some cases like intersection testing but not reporting or case when polygons are convex. The only thing - is the mentioning that this problem can be solved in given time with a link to U. Finke and K. Hinrichs. Overlaying simply connected planar subdivisions in linear time. Unfortunately I didn't manage to find this papers and I'm not even sure that this is my case. Any thougths?

Thank you in advance.

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