Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.

Experts in both fields from all over the world have been invited to participate in the book. We received 39 submissions of high-quality research and survey papers, from which we could only allow the 27 strongest to be published in this book. All papers underwent a strict refereeing process.

The topics covered in this collection include

• Surface Reconstruction and Interpolation

• Surface Interrogation and Modeling

• Wavelets and Compression on Surfaces

• Topology, Distance Fields and Solid Modeling

• Multiresolution Data Representation

• Biomedical and Physical Applications

  Inhalt

  1. Surface Reconstruction and Interpolation Marietta E. Cameron, Kenneth R. Sloan, and Ying Sun: Reconstruction from Unorganized Point Sets using Gamma Shapes Ingrid Hotz and Hans Hagen: Isometric embedding for a discrete metric David Levin: Mesh-Independent Surface Interpolation Robert Mencl and Heinrich Mueller: Empirical Analysis of Surface Interpolation by Spatial Environment Graphs 2. Surface Interrogation and Modeling Georges-Pierre Bonneau and Stefanie Hahmann: Smooth Polylines on Polygon Meshes Mark A. Duchaineau and Kenneth I. Joy: Progressive Precision Surface Design Helwig Hauser, Thomas Theußl, Andreas König, and Eduard Gröller: Smart Surface Interrogation for Advanced Visualization Techniques Yootai Kim, Raghu Machiraju, and David Thompson: Modeling Rough Surfaces Georgios Stylianou: A Feature Based Method for Rigid Registration of Anatomical Surfaces 3. Wavelets and Compression on Surfaces Martin Bertram: Lifting Biorthogonal B-spline Wavelets Ioannis Ivrissimtzis, Christian Roessl, and Hans-Peter Seidel: Tree-based Data Structures for Triangle Mesh Connectivity Encoding Andrei Khodakovsky and Igor Guskov: Compression of Normal Meshes Gabriel Taubin: New Results in Signal Processing and Compression of Polygon Meshes 4. Topology, Distance Fields and Solid Modeling Jian Huang and Roger Crawfis: Adaptively Refined Complete Distance Fields of Polygonal Models Marcelo Kallmann, Hanspeter Bieri, and Daniel Thalmann: Fully Dynamic Constrained Delaunay Triangulations Jorge Rodríguez, Dolors Ayala, and Antonio Aguilera: EVM: A Complete Solid Model for Surface Rendering Xavier Tricoche and Gerik Scheuermann: Topology Simplification of Symmetric, Second-Order 2D Tensor