Canonical representations of discrete curves

  • Authors:
  • Fabien Feschet

  • Affiliations:
  • LLAIC1 - IUT Clermont-Ferrand 1 - Campus des Cézeaux, BP 86 - 63172, Aubière, France

  • Venue:
  • Pattern Analysis & Applications
  • Year:
  • 2005

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Abstract

A new representation of digital curves is introduced. It has the property of being unique and canonical when computed on closed curves. The representation is based on the discrete notion of tangents and is complete in the sense that it contains all discrete segments and all polygonalizations which can be constructed with connected subsets of the original curve. This representation is extended for dealing with noisy curves and we also propose a multi-scale extension. An application is given to curve decomposition into concave–convex parts and with application in syntactical based methods.