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ESA
2011
Springer

Improved Algorithms for Partial Curve Matching

13 years 5 days ago
Improved Algorithms for Partial Curve Matching
Back in 1995, Alt and Godau gave an efficient algorithm for deciding whether a given curve resembles some part of a larger curve under a fixed Fr´echet distance, achieving a running time of O(nm log(nm)), for n and m being the number of segments in the two curves, respectively. We improve this long-standing result by presenting an algorithm that solves this decision problem in O(nm) time. Our solution is based on constructing a simple data structure which we call free-space map. Using this data structure, we obtain improved algorithms for several variants of the Fr´echet distance problem, including the Fr´echet distance between two closed curves, and the so-called minimum/maximum walk problems. We also improve the map matching algorithm of Alt et al. for the case when the map is a directed acyclic graph.
Anil Maheshwari, Jörg-Rüdiger Sack, Kave
Added 20 Dec 2011
Updated 20 Dec 2011
Type Journal
Year 2011
Where ESA
Authors Anil Maheshwari, Jörg-Rüdiger Sack, Kaveh Shahbaz, Hamid Zarrabi-Zadeh
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