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Communication Dans Un Congrès Année : 2003

Removal and Contraction for n-Dimensional Generalized Maps

Guillaume Damiand
Pascal Lienhardt
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Résumé

Removal and contraction are basic operations for several methods conceived in order to handle irregular image pyramids, for multi-level image analysis for instance. Such methods are often based upon graph-like representations which do not maintain all topological information, even for 2-dimensional images. We study the definitions of removal and contraction operations in the generalized maps framework. These combinatorial structures enable us to unambiguously represent the topology of a well-known class of subdivisions of n-dimensional (discrete) spaces. The results of this study make a basis for a further work about irregular pyramids of n-dimensional images.
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Dates et versions

hal-01513079 , version 1 (27-04-2017)

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Guillaume Damiand, Pascal Lienhardt. Removal and Contraction for n-Dimensional Generalized Maps. 11th International Conference on Discrete Geometry for Computer Imagery (DGCI 2003), Nov 2003, Naples, Italy. pp.408-419, ⟨10.1007/978-3-540-39966-7_39⟩. ⟨hal-01513079⟩

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