Quentin Mérigot

E-mail: Firstname.Name@imag.fr
Phone: +33 (0)4.76.51.45.25
Address: 51 rue des Mathématiques
Campus de Saint Martin d'Hères BP 53
38041 Grenoble Cedex 09

Chercheur au CNRS
Laboratoire Jean Kuntzmann
Équipe MGMI
Université Joseph Fourier

Research topic: Approximation problems in geometry.

Working group: Optimal transport and image

C++ code: for computing the covariance of Voronoi cells intersected with a polyhedron; tools for point cloud processing; quadratic optimal transport in the Euclidean plane.

Publications and Preprints

Geometric approximation

	Witnessed k-distance Leonidas Guibas, Quentin Mérigot and Dmitriy Morozov ACM Symp. Computational Geometry (SoCG) 2011
	Geometric structure detection in point clouds Quentin Mérigot Thèse de doctorat, Université de Nice Sophia-Antipolis
	Size of the medial axis and stability of Federer's curvature measures Quentin Mérigot
	Geometric inference for probability measures Frédéric Chazal, David Cohen-Steiner and Quentin Mérigot J. Foundations of Computational Mathematics 11, 733-751 (2011).
	Boundary measures for geometric inference Frédéric Chazal, D. Cohen-Steiner and Quentin Mérigot J. Foundation of Computational Mathematics 10, 221-240 (2010).

Lorentzian geometry

Anosov AdS representations are quasi-Fuchsian (merge of 1 and 2)
Thierry Barbot and Quentin Mérigot
Groups, Geometry and Dynamics (to appear)

Geometry processing

	A multiscale approach to optimal transport Quentin Mérigot Comp. Graph. Forum 30 (5) 1583--1592, 2011 (Proc. SGP 2011)
	Feature Preserving Mesh Generation from 3D Point Clouds Nader Salman, Mariette Yvinec and Quentin Mérigot Comp. Graph. Forum 29 (5) 1623--1632, 2010 (Proc. SGP 2010)
	One Point Isometric Matching with the Heat Kernel, Maks Ovsjanikov, Quentin Mérigot, Facùndo Mémoli, and Leonidas Guibas Comp. Graph. Forum 29 (5) 1555--1564, 2010 (Proc. SGP 2010)
	Voronoi-based Curvature and Feature Estimation from Point Clouds Quentin Mérigot, Maks Ovsjanikov and Leonidas Guibas IEEE Trans. Visualization and Computer Graphics 17 (6) 743--756, 2011 (Best paper award at ACM Solid Modeling 2009)