Mathematical Methods for Curves and Surfaces

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.