Mersenne banner

Sommaire du Fascicule no. 1

Courbure discrète : théorie et applications

Organisé par : 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