Chordal axis on weighted distance transforms

  • Authors:
  • Jérôme Hulin;Edouard Thiel

  • Affiliations:
  • Laboratoire d'Informatique Fondamentale de Marseille (LIF, UMR 6166), France;Laboratoire d'Informatique Fondamentale de Marseille (LIF, UMR 6166), France

  • Venue:
  • DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
  • Year:
  • 2006

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Abstract

Chordal Axis (CA) is a new representation of planar shapes introduced by Prasad in [1], useful for skeleton computation, shape analysis, characterization and recognition The CA is a subset of chord and center of discs tangent to the contour of a shape, derivated from Medial Axis (MA) Originally presented in a computational geometry approach, the CA was extracted on a constrained Delaunay triangulation of a discretely sampled contour of a shape Since discrete distance transformations allow to efficiently compute the center of distance balls and detect discrete MA, we propose in this paper to redefine the CA in the discrete space, to extract on distance transforms in the case of chamfer norms, for which the geometry of balls is well-known, and to compare with MA.