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International Conference on Discrete Geometry for Computer Imagery

DGCI 2011: Discrete Geometry for Computer Imagery pp 333–345Cite as

A Near-Linear Time Guaranteed Algorithm for Digital Curve Simplification under the Fréchet Distance

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Part of the Lecture Notes in Computer Science book series (LNIP,volume 6607)

Abstract

Given a digital curve and a maximum error, we propose an algorithm that computes a simplification of the curve such that the Fréchet distance between the original and the simplified curve is less than the error. The algorithm uses an approximation of the Fréchet distance, but a guarantee over the quality of the simplification is proved. Moreover, even if the theoretical complexity of the algorithm is in \(\mathcal{O}(n\log(n))\), experiments show a linear behaviour in practice.

Keywords

  • Geographic Information System
  • Negative Shift
  • Theoretical Complexity
  • Handwritten Document
  • Polygonal Curve

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Author information

Authors and Affiliations

  1. gipsa-lab, CNRS, UMR 5216, F-38420, France

    Isabelle Sivignon

Authors
  1. Isabelle Sivignon
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Editor information

Editors and Affiliations

  1. LORIA, Equipe ADAGIo, Campus Scientifique, BP 239, 54506, Vandœuvre-lès-Nancy Cedex, France

    Isabelle Debled-Rennesson, Eric Domenjoud, Bertrand Kerautret & Philippe Even, ,  & 

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Sivignon, I. (2011). A Near-Linear Time Guaranteed Algorithm for Digital Curve Simplification under the Fréchet Distance. In: Debled-Rennesson, I., Domenjoud, E., Kerautret, B., Even, P. (eds) Discrete Geometry for Computer Imagery. DGCI 2011. Lecture Notes in Computer Science, vol 6607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19867-0_28

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  • DOI: https://doi.org/10.1007/978-3-642-19867-0_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19866-3

  • Online ISBN: 978-3-642-19867-0

  • eBook Packages: Computer ScienceComputer Science (R0)