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

Proceedings of 12th Discrete Geometry for Computer Imagery, Volume 3429, pages 56-67 - April 2005

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.

## BibTex references

@InProceedings{SDL2005_1640,

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author | = {Simon, C. and Damiand, G. and Lienhardt, P.}, | |

title | = {Receptive Fields for Generalized Map Pyramids: The Notion of Generalized Orbit.}, | |

booktitle | = {Proceedings of 12th Discrete Geometry for Computer Imagery}, | |

series | = {LNCS}, | |

volume | = {3429}, | |

pages | = {56-67}, | |

month | = {April}, | |

year | = {2005}, | |

address | = {Poitiers, France}, | |

url | = {http://springerlink.metapress.com/link.asp?id=r21r7ac2w8p8g33l}, |