Geometric Modeling for Scientific Visualization

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