On the digital tangent bundle and some extensions

  • Authors:
  • Fabien Feschet;Alexandre Faure

  • Affiliations:
  • Universite d'Auvergne Clermont-Ferrand 1, IUT, LAIC, Aubiere, France;Universite d'Auvergne Clermont-Ferrand 1, IUT, LAIC, Aubiere, France

  • Venue:
  • ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
  • Year:
  • 2008

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Abstract

Following the continuous notion of the tangent bundle of a manifold, we provide in this paper a digital counterpart. We recall a linear time algorithm for its construction. Moreover due to the finite nature of this construction, we provide a mapping onto the class of circular arc graphs. Hence, our construction can be extended to other constructions similar to the tangent bundle, providing a family of bundles. We also provide some applications of these constructions for polygonal decomposition and multi-scale analysis. In the paper, we also give a way to extend this construction to an arbitrary dimension.