29 citations · 53 across the 12 of their papers we have counts for
5 papers · 1 filter
A Damped Newton Algorithm for Generated Jacobian Equations
Anatole Gallouët, Quentin Merigot, Boris Thibert
Generated Jacobian Equations have been introduced by Trudinger [Disc. cont. dyn. sys (2014), pp. 1663-1681] as a generalization of Monge-Amp{è}re equations arising in optimal trans…
An algorithm for optimal transport between a simplex soup and a point cloud
Quentin Mérigot, Jocelyn Meyron, Boris Thibert
We propose a numerical method to find the optimal transport map between a measure supported on a lower-dimensional subset of R^d and a finitely supported measure. More precisely, t…
Robust Geometry Estimation using the Generalized Voronoi Covariance Measure
Louis Cuel, Jacques-Olivier Lachaud, Quentin Mérigot +1
The Voronoi Covariance Measure of a compact set K of R^d is a tensor-valued measure that encodes geometric information on K and which is known to be resilient to Hausdorff noise bu…
Intersection of paraboloids and application to Minkowski-type problems
Pedro Machado Manhães De Castro, Quentin Mérigot, Boris Thibert
In this article, we study the intersection (or union) of the convex hull of N confocal paraboloids (or ellipsoids) of revolution. This study is motivated by a Minkowski-type proble…
Stability of Curvature Measures
Frédéric Chazal, David Cohen-Steiner, André Lieutier +1
We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the gaussian, mean or anisotropic curvature meas…