Mathematical Methods for Curves and Surfaces
7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers
Published on 2. March 2010
Book
Paperback/Softback
446 pages
978-3-642-11619-3 (ISBN)
Description
TheSeventhInternationalConferenceonMathematicalMethodsforCurvesand SurfacestookplaceJune26-July 1,2008,inTonsberg,Norway. Theearlier conferences in the series took place in Oslo (1988),Biri (1991), Ulvik (1994), Lillehammer(1997),Oslo(2000),andTromso(2004). Theconferencegathered 165participants fromalmost30countries who presenteda total of129talks. Thisincludesnineinvitedtalksandsevenmini-symposia. Thisbookcontains28originalarticlesbasedontalkspresentedattheconf- ence. Thetopicsrangefrommathematicalanalysisofvariousmethodstoprac- calimplementationonmoderngraphicsprocessingunits. Thepapersre?ectthe newestdevelopmentsinthese?eldsandalsopointtothelatestliterature. The papershavebeensubjecttotheusualpeerreviewprocess,andwethankboth theauthorsandthereviewersfortheirhardworkandhelpfulcollaboration. Wewishtothankthosewhohavesupportedandhelpedorganizetheconf- ence. Firstandforemostitisapleasuretoacknowledgethegenerous?nancial support from the Department of Informatics and the Centre of Mathematics forApplications(CMA)attheUniversityofOslo,andtheResearchCouncilof Norway. WewouldalsoliketothankAndrewMcMurryforhishelpwithwith technicalmatters,andSaraMorkenforhelpwiththeregistration.
November2009 Theeditors Organization Organizing Commitee and Editors MortenDaehlen UniversityofOslo,Norway MichaelFloater UniversityofOslo,Norway TomLyche UniversityofOslo,Norway Jean-LouisMerrien INSAdeRennes,France KnutMorken UniversityofOslo,Norway LarryL. Schumaker VanderbiltUniversity,USA Invited Speakers Jean-DanielBoissonnat,SophiaAntipolis,France MassimoFornasier,Linz,Austria TomHughes,Austin,USA JorgPeters,Gainesville,USA RagniPiene,Oslo,Norway RobertSchaback,Gottingen,Germany PeterSchroder,Caltech,USA JonathanShewchuk,Berkeley,USA JoachimWeickert,Saarland,Germany Mini-Symposia 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 ...
November2009 Theeditors Organization Organizing Commitee and Editors MortenDaehlen UniversityofOslo,Norway MichaelFloater UniversityofOslo,Norway TomLyche UniversityofOslo,Norway Jean-LouisMerrien INSAdeRennes,France KnutMorken UniversityofOslo,Norway LarryL. Schumaker VanderbiltUniversity,USA Invited Speakers Jean-DanielBoissonnat,SophiaAntipolis,France MassimoFornasier,Linz,Austria TomHughes,Austin,USA JorgPeters,Gainesville,USA RagniPiene,Oslo,Norway RobertSchaback,Gottingen,Germany PeterSchroder,Caltech,USA JonathanShewchuk,Berkeley,USA JoachimWeickert,Saarland,Germany Mini-Symposia 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 ...
More details
Series
Edition
1st Edition.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
193 s/w Abbildungen
446 p. 193 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 25 mm
Weight
686 gr
ISBN-13
978-3-642-11619-3 (9783642116193)
DOI
10.1007/978-3-642-11620-9
Schweitzer Classification
Content
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.