nD

Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces
Many combinatorial structures have been designed to represent the topology of space subdivisions and images. We focus here on two …
S. Alayrangues, X. Daragon, Jacques-Olivier Lachaud, P. Lienhardt
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Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces
Géométrie discréte et images numériques
La topologie digitale est l’étude des propriétés des objets discrets qui sont indépendantes de leurs propriétés métriques. …
Jacques-Olivier Lachaud, R. Malgouyres
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Géométrie discréte et images numériques
Computation of homology groups and generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a …
S. Peltier, S. Alayrangues, L. Fuchs, Jacques-Olivier Lachaud
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Computation of homology groups and generators
Computation of homology groups and generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modelling, and homology is a …
S. Peltier, S. Alayrangues, L. Fuchs, Jacques-Olivier Lachaud
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Computation of homology groups and generators
Equivalence between Regular n-G-maps and n-surfaces
Many combinatorial structures have been designed to represent the topology of space subdivisions and images. We focus here on two …
S. Alayrangues, X. Daragon, Jacques-Olivier Lachaud, P. Lienhardt
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Equivalence between Regular n-G-maps and n-surfaces
Coding cells of digital spaces: a framework to write generic digital topology algorithms
This paper proposes a concise coding of the cells of n-dimensional finite regular grids. It induces a simple, generic and efficient …
Jacques-Olivier Lachaud
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Coding cells of digital spaces: a framework to write generic digital topology algorithms
Geometric measures on arbitrary dimensional digital surfaces
This paper proposes a set of tools to analyse the geometry of multidimensional digital surfaces. Our approach is based on several works …
Jacques-Olivier Lachaud, A. Vialard
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Geometric measures on arbitrary dimensional digital surfaces
Equivalence Between Order and Cell Complex Representations
In order to define consistent models and algorithms for image analysis, many topological representations of images have been proposed. …
S. Alayrangues, Jacques-Olivier Lachaud
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Discrete deformable boundaries for the segmentation of multidimensional images
Energy-minimizing techniques are an interesting approach to the segmentation problem. They extract image components by deforming a …
Jacques-Olivier Lachaud, A. Vialard
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Discrete deformable boundaries for the segmentation of multidimensional images
Continuous analogs of digital boundaries: A topological approach to iso-surfaces
The definition and extraction of objects and their boundaries within an image are essential in many imaging applications. Classically, …
Jacques-Olivier Lachaud, A. Montanvert
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Continuous analogs of digital boundaries: A topological approach to iso-surfaces