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Sommaire du Fascicule no. 1

Courbure discrète : théorie et applications

Organisé par : Laurent Najman  ; Pascal Romon

Introduction
p. 1-2
Curvature measures, normal cycles and asymptotic cones
p. 3-10
Piecewise linear approximation of smooth functions of two variables
p. 11-16
Fast numerical schemes related to curvature minimization: a brief and elementary review
p. 17-30
Application of discrete curvatures to surface mesh simplification and feature line extraction
p. 31-49
Tangential Approximation of Surfaces
p. 51-60
An overview of curvature bounds and spectral theory of planar tessellations
p. 61-68
Generalized Ricci curvature and the geometry of graphs
p. 69-78
Robust Shape Reconstruction and Optimal Transportation
p. 79-88
The Gromov-Hausdorff distance: a brief tutorial on some of its quantitative aspects
p. 89-96
Curvature on a graph via its geometric spectrum
p. 97-105
Relaxations for Minimizing Metric Distortion and Elastic Energies for 3D Shape Matching
p. 107-117
Metric Ricci Curvature and Flow for PL Manifolds
p. 119-129
Curvature in image and shape processing
p. 131-139
Geometric Aspects of the Space of Triangulations
p. 141-150
Variational properties of the discrete Hilbert-Einstein functional
p. 151-157
Discrete complex analysis – the medial graph approach
p. 159-169
Multigrid-convergence of digital curvature estimators
p. 171-181
Curvature and Flow in Digital Space
p. 183-194
Digital shapes, digital boundaries and rigid transformations: A topological discussion
p. 195-201