Geometric Modeling for Scientific Visualization

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

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

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.

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 Field            Gunther H. Weber and Gerik Scheuermann:        Automating Transfer Function Design Based on Topology Analysis        5.  Multiresolution Data Representation     Rita Borgo, Paolo Cignoni, and Roberto Scopigno:                 Simplicial-based multiresolution volume datasets management: an overview                                       Leila De Floriani and Michael Lee:        Selective Refinement on Nested Tetrahedral Meshes       Bjoern Heckel and Bernd Hamann:         Divisive Parallel Clustering for Multiresolution Analysis      Lars Linsen, Jevan T. Gray, Valerio Pascucci, Mark A. Duchaineau, Bernd Hamann, and Kenneth I. Joy     Hierarchical Large-scale Volume Representation with "third-root-of-2" Subdivision and Trivariate B-      spline Wavelets     Oliver Staadt:           Multiresolution Surface and Volume Representations   6.  Biomedical and Physical Applications     Katja Buehler, Petr Felkel, and Alexandra La Cruz:       Geometric Methods for Vessel Visualization and Quantification - A Survey               Oscar Civit Flores, Isabel Navazo, and Alvar Vinacua:           An application for dealing with missing data in medical images, with application to left ventricle SPECT     data                                                        Andrew J. Hanson, Chi-Wing Fu, and Priscilla C. Frisch:     Constraint-Based Astronometric Modeling Tools       Anna Vilanova and Eduard Gröller:        Geometric Modelling for Virtual Colon Unfolding