Approximating the Fréchet distance for realistic curves in near linear time

  • Authors:
  • Anne Driemel;Sariel Har-Peled;Carola Wenk

  • Affiliations:
  • Utrecht University, Utrecth, Netherlands;UIUC, Urbana, IL, USA;University of Texas at San Antonio, San Antonio, TX, USA

  • Venue:
  • Proceedings of the twenty-sixth annual symposium on Computational geometry
  • Year:
  • 2010

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Abstract

We present a simple and practical (1+ε)-approximation algorithm for the Fréchet distance between polygonal curves. To analyze this algorithm we introduce a new realistic family of curves, c-packed curves, that is closed under simplification. We believe the notion of c-packed curves to be of independent interest. We show that our algorithm has near linear running time for c-packed polygonal curves, and show similar results for other input models, such as low density.