digital topology

Graduate School on Digital Geometry
A graduate school on digital geometry for the geometry processing community.
Jul 11, 2021 1:30 PM — 3:00 PM Toronto, Ontario (virtual)
David Coeurjolly, Jacques-Olivier Lachaud
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Graduate School on Digital Geometry
Properties of Gauss Digitized Shapes and Digital Surface Integration
This paper presents new topological and geometric properties of Gauss digitizations of Euclidean shapes, most of them holding in …
Jacques-Olivier Lachaud, B. Thibert
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Properties of Gauss Digitized Shapes and Digital Surface Integration
Combining Topological Maps, Multi-Label Simple Points, and Minimum-Length Polygons for Efficient Digital Partition Model
Deformable models have shown great potential for image segmentation. They include discrete models whose combinatorial formulation leads …
G. Damiand, A. Dupas, Jacques-Olivier Lachaud
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Combining Topological Maps, Multi-Label Simple Points, and Minimum-Length Polygons for Efficient Digital Partition Model
Fully deformable 3D digital partition model with topological control
The main contribution of this paper is the definition of multi-label simple points ensuring that the partition topology remains …
G. Damiand, A. Dupas, Jacques-Olivier Lachaud
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Fully deformable 3D digital partition model with topological control
DGtal

Digital geometry tools and Algorithm.

Since 2010.

An open-source generic C++ library for digital geometry.

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DGtal
Multi-Label Simple Points Definition for 3D Images Digital Deformable Model
The main contribution of this paper is the definition of multilabel simple points that ensures that the partition topology remains …
A. Dupas, G. Damiand, Jacques-Olivier Lachaud
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Multi-Label Simple Points Definition for 3D Images Digital Deformable Model
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
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