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Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling.
List of contents
Converting Orthogonal Polyhedra from Extreme Vertice s Model to B-Rep and to Alternat ing Sum of Volumes.- Smooth Shell Construction with Mixed Prism Fat Surfaces.- Geometric Modeling of Parallel Curves on Surfaces.- Computing Volume Properties Using Low-Discrepancy Sequences.- Bisectors and ?-Sectors of Rational Varieties.- Piecewise Linear Wavelets Over Type-2 Triangulations.- Feature-Based Matching of Triangular Meshes.- C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree.- Blossoming and Divided Difference.- Localizing the 4-Split Method for G1 Free-Form Surface Fitting.- Surface Reconstruction Using Adaptive Clustering Methods.- An Algorithm to Tri angul ate Surface s in 3D Using Unorganised Point Clouds.- Cylindrical Surface Pasting.- A Constraint-Based Method for Sculpting Free-Form Surfaces.- A Geometrically Motivated Affine Invariant Norm.- Exploiting Wavelet Coefficients for Modifying Functions.- Parametric Representation of Complex Mechanical Parts Using PDE Surface Generation.- Data-Dependent Triangulation in the Plane with Adaptive Knot Placement.- Implicit Surfaces Revisited-I-Patches.- Radial Basis Functions, Discrete Differences, and Bell-Shaped Bases.
Summary
Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling.
