How to get all intersections between two simple polygons in O(n+k?

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How to get all intersections between two simple polygons in O(n+k)

Basically the formulation of the problem I'd like to solve is very simple. Given 2 simple polygons (without self-intersections) report all intersecting edge pairs in O(n+k) time, where n - is a total number of edges, k - number of intersections between two polygons. It is very important to stay within mentioned time hardness. What does surprise me, that I could hardly find information on this subject. Polygon intersections seems to be so natural and important problem. Anyway at the moment I don...

Answer:

The $\mathcal{O}(n+k)$ algorithms seem to be limited to convex polygons. The fastest algorithms that...

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Sergei Ivanov at Computational Science Mark as irrelevant Undo

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