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Courbure discrète : théorie et applications

Organized by: Laurent Najman; Pascal Romon

Table of contents

Introduction
Curvature measures, normal cycles and asymptotic cones
Piecewise linear approximation of smooth functions of two variables
Fast numerical schemes related to curvature minimization: a brief and elementary review
Application of discrete curvatures to surface mesh simplification and feature line extraction
Tangential Approximation of Surfaces
An overview of curvature bounds and spectral theory of planar tessellations
Generalized Ricci curvature and the geometry of graphs
Robust Shape Reconstruction and Optimal Transportation
The Gromov-Hausdorff distance: a brief tutorial on some of its quantitative aspects
Curvature on a graph via its geometric spectrum
Relaxations for Minimizing Metric Distortion and Elastic Energies for 3D Shape Matching
Metric Ricci Curvature and Flow for PL Manifolds
Curvature in image and shape processing
Geometric Aspects of the Space of Triangulations
Variational properties of the discrete Hilbert-Einstein functional
Discrete complex analysis – the medial graph approach
Multigrid-convergence of digital curvature estimators
Curvature and Flow in Digital Space
Digital shapes, digital boundaries and rigid transformations: A topological discussion