discrete calculus

Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional
UV mapping is a classical problem in computer graphics aiming at computing a planar parameterization of the input mesh with the lowest …
Colin Weill-Duflos, David Coeurjolly, Fernando de Goes, Jacques-Olivier Lachaud
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Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional
StableProxies

Stable Geometry Processing and High Performance Calculus on Heterogeneous Geometrical Data

(ANR project ANR-22-CE46)

Feb. 2023 - Jan. 2028

Team Leader LAMA

StableProxies
A Simple Discrete Calculus for Digital Surfaces
Computing differential quantities or solving partial derivative equations on discrete surfaces is at the core of many geometry …
David Coeurjolly, Jacques-Olivier Lachaud
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A Simple Discrete Calculus for Digital Surfaces
Conference on Digital Geometry and Discrete Variational Calculus
Chair of the organization committee.
Mar 29, 2021 9:00 AM — Apr 2, 2021 2:00 PM CIRM, Luminy, France (virtual)
Jacques-Olivier Lachaud
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Conference on Digital Geometry and Discrete Variational Calculus
A discrete calculus model of Ambrosio-Tortorelli’s functional
Invited talk.
May 23, 2019 12:00 AM — 12:00 AM Laboratoire de Mathématiques, LAMA, Chambéry, France
Jacques-Olivier Lachaud
Code Project Slides (PDF)
A discrete calculus model of Ambrosio-Tortorelli’s functional
Discrete calculus model of Ambrosio-Tortorelli’s functional
Invited talk.
Mar 3, 2019 12:00 AM — Mar 8, 2019 12:00 AM Banff International Research Station, Banff, Alberta, Canada
Jacques-Olivier Lachaud
Code Project Slides (PDF)
Discrete calculus model of Ambrosio-Tortorelli’s functional
Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional
The Mumford-Shah functional approximates a function by a piecewise smooth function. Its versatility makes it ideal for tasks such as …
Nicolas Bonneel, David Coeurjolly, Pierre Gueth, Jacques-Olivier Lachaud
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Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional
Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus
Essential image processing and analysis tasks, such as image segmentation, simplification and denoising, can be conducted in a unified …
Marion Foare, Jacques-Olivier Lachaud, Hugues Talbot
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Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus
Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image restoration and inpainting
The Mumford-Shah (MS) functional is one of the most influential variational model in image segmentation, restoration, and cartooning. …
M. Foare, Jacques-Olivier Lachaud, H. Talbot
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Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image restoration and inpainting
Piecewise smooth reconstruction of normal vector field on digital data
We propose a novel method to regularize a normal vector field defined on a digital surface (boundary of a set of voxels). When the …
D. Coeurjolly, M. Foare, P. Gueth, Jacques-Olivier Lachaud
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Piecewise smooth reconstruction of normal vector field on digital data