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arXiv · 1509.02576

Complexity and Algorithms for the Discrete Fr\'echet Distance Upper Bound with Imprecise Input

Chenglin Fan·Binhai Zhu
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Abstract

We study the problem of computing the upper bound of the discrete Fr\'{e}chet distance for imprecise input, and prove that the problem is NP-hard. This solves an open problem posed in 2010 by Ahn \emph{et al}. If shortcuts are allowed, we show that the upper bound of the discrete Fr\'{e}chet distance with shortcuts for imprecise input can be computed in polynomial time and we present several efficient algorithms.

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Chenglin Fan, Binhai Zhu. 2015-09-08. Complexity and Algorithms for the Discrete Fr\'echet Distance Upper Bound with Imprecise Input. https://arxiv.org/abs/1509.02576

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