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Receptive Fields for Generalized Map Pyramids: The Notion of Generalized Orbit

  • Carine Grasset-Simon
  • Guillaume Damiand
  • Pascal Lienhardt
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3429)

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.

Keywords

Irregular pyramids generalized maps generalized map pyramids connecting walks generalized orbits 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Carine Grasset-Simon
    • 1
  • Guillaume Damiand
    • 1
  • Pascal Lienhardt
    • 1
  1. 1.SIC, FRE-CNRS 2731Université de Poitiers, bât. SP2MIFuturoscope ChasseneuilFrance

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