Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers

by Morten Dæhlen (Editor), Michael S. Floater (Editor), Tom Lyche (Editor), Jean-Louis Merrien (Editor), Knut Morken (Editor)

Overview

This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008.

The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Product Details

ISBN-13:	9783642116193
Publisher:	Springer Berlin Heidelberg
Publication date:	04/08/2010
Series:	Lecture Notes in Computer Science , #5862
Edition description:	2010
Pages:	446
Product dimensions:	6.10(w) x 9.20(h) x 1.00(d)

Table of Contents

MMCS 2008

Partial Differential Equations for Interpolation and Compression of Surfaces Egil Bae Joachim Weickert 1

Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations Michael Bartoň Bert Jüttler Wenping Wang 15

Fat Arcs for Implicitly Defined Curves Szilvia Béla Bert Jüttler 26

Geometric Properties of the Adaptive Delaunay Tessellation Tom Bobach Alexandru Constantiniu Paul Steinmann Georg Umlauf 41

Quadrangular Parameterization for Reverse Engineering David Bommes Tobias Vossemer Leif Kobbelt 55

A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU André Rigland Brodtkorb Trond Runar Hagen 70

Mean Distance from a Curve to Its Control Polygon Jesús Carnicer Jorge Delgado 81

Compactly Supported Splines with Tension Properties on a Three-Direction Mesh Paolo Costantini Francesca Pelosi Maria Lucia Sampoli 93

Some Geometrical Aspects of Control Points for Toric Patches Gheorghe Craciun Luis David García-Puente Frank Sottile 111

A Comparison of Different Progressive Iteration Approximation Methods Jorge Delgado Juan Manuel Peña 136

A Topological Lattice Refinement Descriptor for Subdivision Schemes François Destelle Cédric Gérot Annick Montanvert 153

Subdivision Schemes and Norms Serge Dubuc 178

Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames Rida T. Farouki Carlotta Giannelli Alessandra Sestini 194

Multiresolution Analysis for Minimal Energy C^rSurfaces on Powell-Sabin Type Meshes Miguel A. Fortes Pedro González Maria Moncayo Miguel Posadas 209

Segmentation of 3D Tubular Structures by a PDE-Based Anisotropic Diffusion Model Elena Franchini Serena Morigi Fiorella Sgallari 224

Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfaces Cédric Gérot François Destelle Annick Montanvert 242

Simplification of FEM-Models on Cell BE Jon Mikkelsen Hjelmervik Jean-Claude Léon 261

Effects of Noise on Quantized Triangle Meshes Ioannis Ivrissimtzis 274

Reparameterization of Curves and Surfaces with Respect to Their Convolution Miroslav Lávička Bohumír Bastl Zbyněk Šír 285

An Introduction to Guided and Polar Surfacing Jörg Peters K&ecedil;stutis Karčiauskas 299

An Iterative Algorithm with Joint Sparsity Constraints for Magnetic Tomography Francesca Pitolli Gabriella Bretti 316

Constructing Good Coefficient Functionals for Bivariate C¹ Quadratic Spline Quasi-Interpolants Sara Remogna 329

Sampling and Stability Christian Rieger Robert Schaback Barbara Zwicknagl 347

Shape Preserving Hermite Interpolation by Rational Biquadratic Splines Paul Sablonniére 370

Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations in the NIST Digital Library of Mathematical Functions Bonita Saunders Qiming Wang 385

Low Degree Euclidean and Minkowski Pythagorean Hodograph Cuives Zbyněk Š ír Jiř í Kosinka 394

On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines Hendrik Speleers Paul Dierckx Stefan Vandewalle 419

Logarithmic Curvature and Torsion Graphs Norimasa Yoshida Ryo Fukuda Takafumi Saito 434

Author Index 445