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Title Geometric Modeling for Scientific Visualization [electronic resource] / edited by Guido Brunnett, Bernd Hamann, Heinrich Mรผller, Lars Linsen Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 http://dx.doi.org/10.1007/978-3-662-07443-5 IX, 488 p. online resource

SUMMARY

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

CONTENT

I Surface Reconstruction and Interpolation -- Reconstruction from Unorganized Point Sets Using Gamma Shapes -- Isometric Embedding for a Discrete Metric -- Mesh-Independent Surface Interpolation -- Empirical Analysis of Surface Interpolation by Spatial Environment Graphs -- II Surface Interrogation and Modeling -- Smooth Polylines on Polygon Meshes -- Progressive Precision Surface Design -- Access to Surface Properties up to Order Two for Visualization Algorithms -- Modeling Rough Surfaces -- A Feature Based Method for Rigid Registration of Anatomical Surfaces -- III Wavelets and Compression on Surfaces -- Lifting Biorthogonal B-spline Wavelets -- Tree-based Data Structures for Triangle Mesh Connectivity Encoding -- Compression of Normal Meshes -- New Results in Signal Processing and Compression of Polygon Meshes -- IV Topology, Distance Fields, and Solid Modeling -- Adaptively Represented Complete Distance Fields of Polygonal Models -- Fully Dynamic Constrained Delaunay Triangulations -- EVM: A Complete Solid Model for Surface Rendering -- Topology Simplification of Symmetric, Second-Order 2D Tensor Fields -- Automating Transfer Function Design Based on Topology Analysis -- V Multiresolution Data Representation -- Simplicial-based Multiresolution Volume Datasets Management: An Overview -- Selective Refinement on Nested Tetrahedral Meshes -- Divisive Parallel Clustering for Multiresolution Analysis -- Hierarchical Large-scale Volume Representation with % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaOqaaeaaca % aIYaaaleaacaaIZaaaaaaa!3788! $$\sqrt[3]{2}$$ Subdivision and Trivariate B-spline Wavelets -- Multiresolution Surface and Volume Representations -- VI Biomedical and Physical Applications -- Geometric Methods for Vessel Visualization and Quantification โ{128}{148} A Survey -- An Application for Dealing with Missing Data in Medical Images, with Application to Left Ventricle SPECT Data -- Constraint-Based Astronometric Modeling Tools -- Geometric Modelling for Virtual Colon Unfolding -- Appendix: Color Plates

Mathematics Computer simulation Computer graphics Computer mathematics Visualization Geometry Mathematics Geometry Visualization Computational Science and Engineering Computer Graphics Simulation and Modeling Computational Mathematics and Numerical Analysis

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