geometric inference

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
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
Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure
The Voronoi covariance measure (VCM) of a compact set K of $\mathbb{R}^d$ is a tensor-valued measure that encodes geometrical …
L. Cuel, Jacques-Olivier Lachaud, Q. Mérigot, B. Thibert
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Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure
Voronoi-Based Geometry Estimator for 3D Digital Surfaces
We propose a robust estimator of geometric quantities such as normals, curvature directions and sharp features for 3D digital surfaces. …
L. Cuel, Jacques-Olivier Lachaud, B. Thibert
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Voronoi-Based Geometry Estimator for 3D Digital Surfaces