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A first step toward combinatorial pyramids in nD spaces

Sébastien Fourey 1, * Luc Brun 1
* Corresponding author
1 Equipe Image - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image et Instrumentation de Caen
Abstract : Combinatorial maps define a general framework which allows to encode any subdivision of an nD orientable quasi-manifold with or without boundaries. Combinatorial pyramids are defined as stacks of successively reduced combinatorial maps. Such pyramids provide a rich framework which allows to encode fine properties of the objects (either shapes or partitions). Combinatorial pyramids have first been defined in 2D. This first work has latter been extended to pyramids of nD generalized combinatorial maps. Such pyramids allow to encode stacks of non orientable partitions but at the price of a twice bigger pyramid. These pyramids are also not designed to capture efficiently the properties connected with orientation. The present work presents our first result on the design of an nD pyramid of combinatorial maps.
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Preprints, Working Papers, ...
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Submitted on : Wednesday, June 1, 2011 - 3:23:34 PM
Last modification on : Tuesday, October 19, 2021 - 11:34:58 PM
Long-term archiving on: : Sunday, December 4, 2016 - 9:09:02 AM


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  • HAL Id : hal-00353932, version 3


Sébastien Fourey, Luc Brun. A first step toward combinatorial pyramids in nD spaces. 2009. ⟨hal-00353932v3⟩



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