Mathematical Methods for Curves and Surfaces

7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers
1. Auflage. 2010
ISBN: 978-3-642-11619-3
Verlag: Springer

Buch, Englisch, Band 5862, 446 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 686 g

Reihe: Lecture Notes in Computer Science

Organizers OlegDavydov,Glasgow,UK TorDokken,Oslo,Norway BinHan,Edmonton,Canada ChuckHansen,SaltLakeCity,USA RimvydasKrasauskas,Vilnius,Lithuania TrondKvamsdal,Trondheim,Norway CarlaManni,Rome,Italy Sponsoring Institutions DepartmentofInformatics,UniversityofOslo CentreofMathematicsforApplications,UniversityofOslo ResearchCouncilofNorway Table of Contents MMCS 2008 Partial Di?erential Equations for Interpolation and Compression of Surfaces. 1 Egil Bae and Joachim Weickert Construction of Rational Curves with Rational Rotation-Minimizing Frames via Mob ¨ ius Transformations. 15 Michael Barton, ? Bert Juttl ¨ er, and Wenping Wang Fat Arcs for Implicitly De?ned Curves. 26 Szilvia B´ ela and Bert Juttl ¨ er Geometric Properties of the Adaptive Delaunay Tessellation. 41 Tom Bobach, Alexandru Constantiniu, Paul Steinmann, and Georg Umlauf Quadrangular Parameterization for Reverse Engineering. 55 David Bommes, Tobias Vossemer, and Leif Kobbelt A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU. 70 Andr´ e Rigland Brodtkorb and Trond Runar Hagen Mean Distance from a Curve to Its Control Polygon. 81 Jesu ´s Carnicer and Jorge Delgado Compactly Supported Splines with Tension Properties on a Three-Direction Mesh.

Zielgruppe

Research

Autoren/Hrsg.

Dæhlen, Morten

Floater, Michael S.

Schumaker, Larry L.

Lyche, Tom

Merrien, Jean-Louis

Morken, Knut

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

MMCS 2008.- Partial Differential Equations for Interpolation and Compression of Surfaces.- Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations.- Fat Arcs for Implicitly Defined Curves.- Geometric Properties of the Adaptive Delaunay Tessellation.- Quadrangular Parameterization for Reverse Engineering.- A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU.- Mean Distance from a Curve to Its Control Polygon.- Compactly Supported Splines with Tension Properties on a Three-Direction Mesh.- Some Geometrical Aspects of Control Points for Toric Patches.- A Comparison of Different Progressive Iteration Approximation Methods.- A Topological Lattice Refinement Descriptor for Subdivision Schemes.- Subdivision Schemes and Norms.- Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames.- Multiresolution Analysis for Minimal Energy C r -Surfaces on Powell-Sabin Type Meshes.- Segmentation of 3D Tubular Structures by a PDE-Based Anisotropic Diffusion Model.- Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfaces.- Simplification of FEM-Models on Cell BE.- Effects of Noise on Quantized Triangle Meshes.- Reparameterization of Curves and Surfaces with Respect to Their Convolution.- An Introduction to Guided and Polar Surfacing.- An Iterative Algorithm with Joint Sparsity Constraints for Magnetic Tomography.- Constructing Good Coefficient Functionals for Bivariate C 1 Quadratic Spline Quasi-Interpolants.- Sampling and Stability.- Shape Preserving Hermite Interpolation by Rational Biquadratic Splines.- Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations in the NIST Digital Library of Mathematical Functions.-Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves.- On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines.- Logarithmic Curvature and Torsion Graphs.