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Issue no. 1 Table of Contents

Courbure discrète : théorie et applications

Organized by : Laurent Najman; Pascal Romon

Introduction

Laurent Najman; Pascal Romon

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

Xiang Sun; Jean-Marie Morvan

p. 3-10
Piecewise linear approximation of smooth functions of two variables

Joseph H.G. Fu

p. 11-16
Fast numerical schemes related to curvature minimization: a brief and elementary review

Xue-Cheng Tai

p. 17-30
Application of discrete curvatures to surface mesh simplification and feature line extraction

Alexandra Bac; Jean-Luc Mari; Dimitri Kudelski; Nam-Van Tran; Sophie Viseur; Marc Daniel

p. 31-49
Tangential Approximation of Surfaces

Carl Olsson; Yuri Boykov

p. 51-60
An overview of curvature bounds and spectral theory of planar tessellations

Matthias Keller

p. 61-68
Generalized Ricci curvature and the geometry of graphs

Frank Bauer; Bobo Hua; Jürgen Jost; Shiping Liu

p. 69-78
Robust Shape Reconstruction and Optimal Transportation

Pierre Alliez; Simon Giraudot; David Cohen-Steiner

p. 79-88
The Gromov-Hausdorff distance: a brief tutorial on some of its quantitative aspects

Facundo Mémoli

p. 89-96
Curvature on a graph via its geometric spectrum

Paul Baird

p. 97-105
Relaxations for Minimizing Metric Distortion and Elastic Energies for 3D Shape Matching

Daniel Cremers; Emanuele Rodolà; Thomas Windheuser

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

Emil Saucan

p. 119-129
Curvature in image and shape processing

Yonathan Aflalo; Anastasia Dubrovina; Ron Kimmel; Aaron Wetzler

p. 131-139
Geometric Aspects of the Space of Triangulations

Pooran Memari

p. 141-150
Variational properties of the discrete Hilbert-Einstein functional

Ivan Izmestiev

p. 151-157
Discrete complex analysis – the medial graph approach

Alexander I. Bobenko; Felix Günther

p. 159-169
Multigrid-convergence of digital curvature estimators

Jacques-Olivier Lachaud

p. 171-181
Curvature and Flow in Digital Space

Atsushi Imiya

p. 183-194
Digital shapes, digital boundaries and rigid transformations: A topological discussion

Yukiko Kenmochi; Phuc Ngo; Nicolas Passat; Hugues Talbot

p. 195-201