3D

Delaunay property and proximity results of the L-algorithm for digital plane probing
When processing the geometry of digital surfaces (boundaries of voxel sets), linear local structures such as pieces of digital planes …
Jui-Ting Lu, Tristan Roussillon, Jacques-Olivier Lachaud, David Coeurjolly
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Delaunay property and proximity results of the L-algorithm for digital plane probing
Digital Calculus Frameworks and Comparative Evaluation of Their Laplace-Beltrami Operators
Defining consistent calculus frameworks on discrete meshes is useful for processing the geometry of meshes or model numerical …
Colin Weill-Duflos, David Coeurjolly, Jacques-Olivier Lachaud
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Digital Calculus Frameworks and Comparative Evaluation of Their Laplace-Beltrami Operators
Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures
The estimation of differential quantities on oriented point cloud is a classical step for many geometry processing tasks in computer …
Jacques-Olivier Lachaud, David Coeurjolly, Céline Labart, Pascal Romon, Boris Thibert
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Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures
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
Corrected Curvature Measures
This paper proposes a new mathematical and computational tool for infering the geometry of shapes known only through approximations …
Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert
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Corrected Curvature Measures
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
Code Project Video Slides (PDF) Slides (Keynote)
Graduate School on Digital Geometry
Interpolated corrected curvature measures for polygonal surfaces
The video of the talk I gave at SGP about our paper Interpolated corrected curvature measures for polygonal surfaces.
Jul 7, 2020 3:30 PM — 4:00 PM Utrecht, Netherland (virtual)
Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert, David Coeurjolly
Code Project Video Article
Interpolated corrected curvature measures for polygonal surfaces
An Optimized Framework for Plane-Probing Algorithms
A plane-probing algorithm computes the normal vector of a digital plane from a starting point and a predicate ``Is a point x in the …
Jacques-Olivier Lachaud, Jocelyn Meyron, Tristan Roussillon
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An Optimized Framework for Plane-Probing Algorithms
Interpolated corrected curvature measures for polygonal surfaces
A consistent and yet practically accurate definition of curvature onto polyhedral meshes remains an open problem. We propose a new …
Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert, David Coeurjolly
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Interpolated corrected curvature measures for polygonal surfaces