Fréchet View - A Tool for Exploring Fréchet Distance Algorithms (Multimedia Exposition)

Author Peter Schäfer

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Author Details

Peter Schäfer
  • FernUniversität in Hagen, Germany


This program was developed as part of my master thesis at the chair of Prof. Dr. André Schulz, supervised by Dr. Lena Schlipf.

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Peter Schäfer. Fréchet View - A Tool for Exploring Fréchet Distance Algorithms (Multimedia Exposition). In 35th International Symposium on Computational Geometry (SoCG 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 129, pp. 66:1-66:5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
  • Fréchet distance
  • free-space diagram
  • polygonal curves
  • simple polygons


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  1. Hugo A. Akitaya, Maike Buchin, Leonie Ryvkin, and Jérôme Urhausen. The k-Fréchet distance revisited and extended. In 35th European Workshop on Computational Geometry, 2019. URL:
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  3. Kevin Buchin, Maike Buchin, and Carola Wenk. Computing the Fréchet Distance Between Simple Polygons in Polynomial Time. In Proceedings of the Twenty-second Annual Symposium on Computational Geometry, SCG '06, pages 80-87, 2006. URL:
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