Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap, which led to the idea of composing a book on Geometric Modeling for Scientific Visualization. The editors received 39 submissions of high-quality research and survey papers, from which the 27 strongest are published in this book. All papers underwent a strict refereeing process. Topics covered include: Surface Reconstruction and Interpolation; Surface Interrogation and Modeling; Wavelets and Compression on Surfaces; Topology, Distance Fields and Solid Modeling; and others.

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 AnatomicalSurfaces3. 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 EncodingAndrei Khodakovsky and Igor Guskov:Compression of Normal Meshes Gabriel Taubin:New Results in Signal Processing and Compression of Polygon Meshes4. 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