A fast algorithm for polygon containment by translation
The polygon containment problem is the problem of deciding whether one polygon, C, can be translated to fit within another polygon N. We present an algorithm that runs in time O (cn log cn) to solve this problem, in the case that the polygon C is convex. Here c is the number of bounding edges of C, and n is the number of bounding edges of N. The algorithm actually computes the feasible region, that is, a description of the set of all placements of C inside N. The algorithm is close to optimal in that the feasible region may have O (cn) vertices.
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