38 citations · 134 across the 17 of their papers we have counts for
8 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…
On the reconstruction of convex sets from random normal measurements
Hiba Abdallah, Quentin Mérigot
We study the problem of reconstructing a convex body using only a finite number of measurements of outer normal vectors. More precisely, we suppose that the normal vectors are meas…
Lower bounds for k-distance approximation
Quentin Mérigot
Consider a set P of N random points on the unit sphere of dimension , and the symmetrized set S = P union (-P). The halving polyhedron of S is defined as the convex hull of th…