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Issue no. 1 Table of Contents

Courbure discrète : théorie et applications

Organized by : Laurent Najman; Pascal Romon

Introduction

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p. 1-2
Curvature measures, normal cycles and asymptotic cones

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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

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p. 31-49
Tangential Approximation of Surfaces

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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

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p. 69-78
Robust Shape Reconstruction and Optimal Transportation

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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

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p. 107-117
Metric Ricci Curvature and Flow for PL Manifolds

p. 119-129
Curvature in image and shape processing

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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

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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

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p. 195-201