A generalized preimage for the standard and supercover digital hyperplane recognition

  • Authors:
  • Martine Dexet;Eric Andres

  • Affiliations:
  • Laboratoire SIC, Université de Poitiers, Futuroscope Chasseneuil, France;Laboratoire SIC, Université de Poitiers, Futuroscope Chasseneuil, France

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

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Abstract

A new digital hyperplane recognition method is presented This algorithm allows the recognition of Standard and Supercover hyperplanes by incrementally computing in a dual space the generalized preimage of a given hypervoxel set Each point in this preimage corresponds to a Euclidean hyperplane which intersects all given hypervoxels An advantage of the generalized preimage is that it does not depend on the hypervoxel locations Moreover, the proposed recognition algorithm does not require the hypervoxels to be connected or ordered in any way.