Receptive fields for generalized map pyramids: the notion of generalized orbit

  • Authors:
  • Carine Grasset-Simon;Guillaume Damiand;Pascal Lienhardt

  • Affiliations:
  • SIC, FRE-CNRS 2731, Université de Poitiers, bât. SP2MI, Futuroscope Chasseneuil, France;SIC, FRE-CNRS 2731, Université de Poitiers, bât. SP2MI, Futuroscope Chasseneuil, France;SIC, FRE-CNRS 2731, Université de Poitiers, bât. SP2MI, Futuroscope Chasseneuil, France

  • Venue:
  • DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
  • Year:
  • 2005

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Abstract

A pyramid of n-dimensional generalized maps is a hierarchical data structure. It can be used, for instance, in order to represent an irregular pyramid of n-dimensional images. A pyramid of generalized maps can be built by successively removing and/or contracting cells of any dimension. In this paper, we define generalized orbits, which extend the classical notion of receptive fields. Generalized orbits allow to establish the correspondence between a cell of a pyramid level and the set of cells of previous levels, the removal or contraction of which have led to the creation of this cell. In order to define generalized orbits, we extend, for generalized map pyramids, the notion of connecting walk defined by Brun and Kropatsch.