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In this paper we define and investigate the Fréchet edit distance problem. Here, given two polygonal curves $$\pi$$ and $$\sigma$$ and a threshhold value $$\delta$$ , we seek the minimum number of edits to $$\sigma$$ such that the Fréchet distance between the edited curve and $$\pi$$ is at most $$\delta$$. For the edit operations we consider three cases, namely, deletion of vertices, insertion of vertices, or both. For this basic problem we consider a number of variants. Specifically, we provide polynomial time algorithms for both discrete and continuous Fréchet edit distance variants, as well as hardness results for weak Fréchet edit distance variants.more » « less
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Fox, Emily; Nayyeri, Amir; Perry, Jonathan James; Raichel, Benjamin (, Schloss Dagstuhl – Leibniz-Zentrum für Informatik)Mulzer, Wolfgang; Phillips, Jeff M (Ed.)We define and investigate the Fréchet edit distance problem. Given two polygonal curves π and σ and a non-negative threshhold value δ, we seek the minimum number of edits to σ such that the Fréchet distance between the edited σ and π is at most δ. For the edit operations we consider three cases, namely, deletion of vertices, insertion of vertices, or both. For this basic problem we consider a number of variants. Specifically, we provide polynomial time algorithms for both discrete and continuous Fréchet edit distance variants, as well as hardness results for weak Fréchet edit distance variants.more » « less
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