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Traitements d'images sur surfaces et variétés avec mise en application au patrimoine culturel 3D

François Lozes 1
1 Equipe Image - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : In this thesis, we are interesting in transposing and solving PDEs and variational problems on general surfaces or manifolds. PDEs and variational methods are one of the most important tools widely used for modeling and solving inverse problems, e.g., in image processing and computer vision. Recently, many of these methods were extended to non-local forms. However, most of the research works on local or non-local processing focus only on image processing on Euclidean spaces. In this thesis, we propose an approach to transpose and to solve PDEs on surfaces and point clouds. This latter approach is based on the representation of point clouds by weighted graphs and the framework of Partial differential Equations (PdEs). This approach requires no pre-processing of point clouds, and allow to extend and to adapt non-local PDEs by changing only the topology of the graph.
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https://hal.archives-ouvertes.fr/tel-01131419
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Submitted on : Friday, March 13, 2015 - 3:08:54 PM
Last modification on : Tuesday, February 5, 2019 - 12:12:44 PM
Long-term archiving on: : Monday, April 17, 2017 - 12:22:22 PM

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  • HAL Id : tel-01131419, version 1

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François Lozes. Traitements d'images sur surfaces et variétés avec mise en application au patrimoine culturel 3D. Informatique [cs]. Université de Caen, 2015. Français. ⟨tel-01131419⟩

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