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Award ID contains: 2311179

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  1. ; (, Proceedings 36th Canadian Conference on Computational Geometry)
    Nishat, Rahnuma Islam (Ed.)
    In this paper we consider computing the Fréchet distance between two curves where we are allowed to locally permute the vertices. Specifically, we limit each vertex to move at most k positions from where it started, and give fixed parameter tractable algorithms in this parameter k, whose running times match the standard Fréchet distance computation running time when k is a constant. Furthermore we also show that computing such a local permutation Fréchet distance is NP-hard when considering the weak Fréchet distance. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; (, Proceedings of the 40th International Symposium on Computational Geometry)
    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. 
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  3. ; ; ; (, 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. 
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    Full Text Available