Implicit Digital Surfaces in Arbitrary Dimensions

Abstract : In this paper we introduce a notion of digital implicit surface in arbitrary dimensions. The digital implicit surface is the result of a morphology inspired digitization of an implicit surface {x ∈ ℝn : f(x) = 0} which is the boundary of a given closed subset of ℝ n , {x ∈ ℝn : f(x) ≤ 0}. Under some constraints, the digital implicit surface has some interesting properties, such as k-tunnel freeness. Furthermore, for a large class of the digital implicit surfaces, there exists a very simple analytical characterization.
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Communication dans un congrès
Discrete Geometry for Computer Imagery 2014, 2014, Siena, Italy. Lecture Notes in Computer Sciences, 8668, pp.332-343, 2014
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https://hal.archives-ouvertes.fr/hal-01141695
Contributeur : Gaëlle Largeteau-Skapin <>
Soumis le : lundi 13 avril 2015 - 15:23:19
Dernière modification le : lundi 21 mars 2016 - 17:30:25

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  • HAL Id : hal-01141695, version 1

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Jean-Luc Toutant, Eric Andres, Gaëlle Largeteau-Skapin, Rita Zrour. Implicit Digital Surfaces in Arbitrary Dimensions. Discrete Geometry for Computer Imagery 2014, 2014, Siena, Italy. Lecture Notes in Computer Sciences, 8668, pp.332-343, 2014. 〈hal-01141695〉

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