Universal approximate simplification under the discrete Fréchet distance

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The problem of simplifying a polygonal curve or chain is well studied and has many applications. The discrete Fréchet distance is a useful similarity measure for curves, which has been utilized for many real-world applications. When the curves are huge, a simplification algorithm is needed in order to reduce running times. In this paper we adapt some of the techniques of Driemel and Har-Peled [5] (for the continuous Fréchet distance) to obtain a universal approximate simplification of a given polygonal curve, under the discrete Fréchet distance.

Original languageEnglish
Pages (from-to)22-27
Number of pages6
JournalInformation Processing Letters
StatePublished - Apr 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.


  • Approximation algorithms
  • Curve simplification
  • Discrete Fréchet distance
  • Polygonal curves


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