Abstract
The Fréchet-distance is a similarity measure for geometric shapes. Alt and Godau presented the first algorithm for computing the Fréchet-distance and introduced a key concept, the free-space diagram. Since then, numerous variants of the Fréchet-distance have been studied.
We present here an interactive, graphical tool for exploring some Fréchet-distance algorithms. Given two curves, users can experiment with the free-space diagram and compute the Fréchet-distance. The Fréchet-distance can be computed for two important classes of shapes: for polygonal curves in the plane, and for simple polygonal surfaces.
Finally, we demonstrate an implementation of a very recent concept, the k-Fréchet-distance.
BibTeX - Entry
@InProceedings{schfer:LIPIcs:2019:10470,
author = {Peter Sch{\"a}fer},
title = {{Fr{\'e}chet View - A Tool for Exploring Fr{\'e}chet Distance Algorithms (Multimedia Exposition)}},
booktitle = {35th International Symposium on Computational Geometry (SoCG 2019)},
pages = {66:1--66:5},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-104-7},
ISSN = {1868-8969},
year = {2019},
volume = {129},
editor = {Gill Barequet and Yusu Wang},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/10470},
URN = {urn:nbn:de:0030-drops-104703},
doi = {10.4230/LIPIcs.SoCG.2019.66},
annote = {Keywords: Fr{\'e}chet distance, free-space diagram, polygonal curves, simple polygons}
}
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Keywords: |
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Fréchet distance, free-space diagram, polygonal curves, simple polygons |
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Collection: |
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35th International Symposium on Computational Geometry (SoCG 2019) |
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Issue Date: |
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2019 |
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Date of publication: |
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11.06.2019 |
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Supplementary Material: |
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https://hrimfaxi.bitbucket.io/fv |
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)