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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This content will become publicly available on June 6, 2025
Fréchet Edit Distance
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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- Award ID(s):
- 2311180
- PAR ID:
- 10521710
- Editor(s):
- Mulzer, Wolfgang; Phillips, Jeff M
- Publisher / Repository:
- Schloss Dagstuhl – Leibniz-Zentrum für Informatik
- Date Published:
- Volume:
- 293
- ISSN:
- 1868-8969
- ISBN:
- 978-3-95977-316-4
- Page Range / eLocation ID:
- 293-293
- Subject(s) / Keyword(s):
- Fréchet distance Edit distance Hardness Theory of computation → Computational geometry
- Format(s):
- Medium: X Size: 15 pages; 940406 bytes Other: application/pdf
- Size(s):
- 15 pages 940406 bytes
- Right(s):
- Creative Commons Attribution 4.0 International license; info:eu-repo/semantics/openAccess
- Sponsoring Org:
- National Science Foundation
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