Topological Data Structure: The Fast Marching Example

Sofian Toujja; Thierry Bay; Hakim Belhaouari; Laurent Fuchs

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Paper

Topological Data Structure: The Fast Marching Example

Topics: Geometric Computing; Modeling and Algorithms

In Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: VISIGRAPP, 206-213, 2023 , Lisbon, Portugal

Authors: Sofian Toujja ¹ ; Thierry Bay ² ; Hakim Belhaouari ¹ and Laurent Fuchs ¹

Affiliations: ¹ XLIM, Université de Poitiers, Univ. Limoges, CNRS, XLIM, Poitiers, France ; ² CERAMATHS, Université Polytechnique Hauts-de-France, Valenciennes, France

Keyword(s): Topological Modeling, Generalized Map, Fast Marching Method, Front Propagation, Jerboa.

Abstract: This article lies in the field of front propagation algorithms on a surface represented by triangle meshes. An implementation of the fast marching algorithm using a topological structure, the generalized maps or g-maps, as the data structure of the mesh is presented. G-maps have the advantage of allowing to store and retrieve information related to the neighborhood of a cell. In this article, the necessary knowledge about generalized maps and the fast marching method are reviewed in order to facilitate the understanding of the proposed implementation and the benefits brought by g-maps as underlying data structure. Then some various applications of this implementation are presented.

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Paper citation in several formats:

Toujja, S.; Bay, T.; Belhaouari, H. and Fuchs, L. (2023). Topological Data Structure: The Fast Marching Example. In Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - GRAPP; ISBN 978-989-758-634-7; ISSN 2184-4321, SciTePress, pages 206-213. DOI: 10.5220/0011686800003417

@conference{grapp23,
author={Sofian Toujja. and Thierry Bay. and Hakim Belhaouari. and Laurent Fuchs.},
title={Topological Data Structure: The Fast Marching Example},
booktitle={Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - GRAPP},
year={2023},
pages={206-213},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011686800003417},
isbn={978-989-758-634-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - GRAPP
TI - Topological Data Structure: The Fast Marching Example
SN - 978-989-758-634-7
IS - 2184-4321
AU - Toujja, S.
AU - Bay, T.
AU - Belhaouari, H.
AU - Fuchs, L.
PY - 2023
SP - 206
EP - 213
DO - 10.5220/0011686800003417
PB - SciTePress