Staying Close to a Curve
نویسندگان
چکیده
Given a point set S and a polygonal curve P in R, we study the problem of finding a polygonal curve through S, which has a minimum Fréchet distance to P . We present an efficient algorithm to solve the decision version of this problem in O(nk) time, where n and k represent the sizes of P and S, respectively. A curve minimizing the Fréchet distance can be computed in O(nk log(nk)) time. As a by-product, we improve the map matching algorithm of Alt et al. by a log k factor for the case when the map is a complete graph.
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