Visiting All Sites with Your Dog
Abstract
Given a polygonal curve P, a pointset S, and an ε > 0, we study the problem of finding a polygonal curve Q whose vertices are from S and has a Frechet distance less or equal to ε to curve P. In this problem, Q must visit every point in S and we are allowed to reuse points of pointset in building Q. First, we show that this problem in NP-Complete. Then, we present a polynomial time algorithm for a special cases of this problem, when P is a convex polygon.
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