multigrid convergence

Computing differential quantities or solving partial derivative equations on discrete surfaces is at the core of many geometry …

This paper proposes a new mathematical and computational tool for infering the geometry of shapes known only through approximations …

A graduate school on digital geometry for the geometry processing community.

The Elastica is a curve regularization model that integrates the squared curvature in addition to the curve length. It has been shown …

This article presents a novel discretization of the Laplace–Beltrami operator on digital surfaces.We adapt an existing convolution …

We present, in details, a generic tool to estimate differential geometric quantities on digital shapes, which are subsets of …

Keynote speaker at DGCI 2016, Nantes.

This paper presents several methods to estimate geometric quantities on subsets of the digital space Zd. We take an interest both on …

This paper presents new topological and geometric properties of Gauss digitizations of Euclidean shapes, most of them holding in …

In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field …