A Damped Newton Algorithm for Generated Jacobian Equations

no code implementations • 20 Jan 2021 • Anatole Gallouët, Quentin Merigot, Boris Thibert

We also present a numerical application of this algorithm to the near-field parallel refractor problem arising in non-imaging problems.

Computational Geometry Numerical Analysis Analysis of PDEs Numerical Analysis

Interpolated corrected curvature measures for polygonal surfaces

1 code implementation • Computer Graphics Forum (Proceedings of Symposium on Geometry Processing) 2020 • Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert, David Coeurjolly

We pro- pose a new framework to define curvature measures, based on the Corrected Normal Current, which generalizes the normal cycle: it uncouples the positional information of the polyhedral mesh from its geometric normal vector field, and the user can freely choose the corrected normal vector field at vertices for curvature computations.

An algorithm for optimal transport between a simplex soup and a point cloud

1 code implementation • 5 Jul 2017 • 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.

Computational Geometry Numerical Analysis

Distributable Consistent Multi-Object Matching

no code implementations • CVPR 2018 • Nan Hu, Qi-Xing Huang, Boris Thibert, Leonidas Guibas

In this paper we propose an optimization-based framework to multiple object matching.

Object