Synopses & Reviews
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.
Table of Contents
Converting Orthogonal Polyhedra from Extreme Vertices Model to B-Rep and to Alternating Sum of Volumes (A. Aguilera, D. Ayala).- Smooth Shell Construction with Mixed Prism Fat Surfaces (C. L. Bajaj, G. Xu).- Geometric Modeling of Parallel Curves on Surfaces (G. Brunnett).- Computing Volume Properties Using Low-Discrepancy Sequences (T. J. G. Davies, R. R. Martin, A. Bowyer).- Bisectors and alpha-Sectors of Rational Varieties (G. Elber, G. Barquet, M. S. Kim).- Piecewise Linear Wavelets Over Type-2 Triangulations (M. S. Floater, E. G. Quak).- Feature-based Matching of Triangular Meshes (M. Fröhlich, H. Müller, C. Pillokat, F. Weller).- C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree (N. C. Gabrielides, P. D. Kaklis).- Blossoming and Divided Difference (R. Goldman).- Localizing the 4-Split Method for G1 Free-Form Surface Fitting (S. Hahmann, G.-P. Bonneau, R. Taleb).- Surface Reconstruction Using Adaptive Clustering Methods (B. Heckel, A. E. Uva, B. Hamann, K. I. Joy).- An Algorithm to Triangulate Surfaces in 3D Using Unorganised Point Clouds (G. Kós).- Cylindrical Surface Pasting (S. Mann, T. Yeung).- A Constraint-based Method for Sculpting Free-Form Surfaces (P. Michalik, B. Bruderlin).- A Geometrically Motivated Affine Invariant Norm (V. Milbrandt).- Exploiting Wavelet Coefficients for Modifying Functions (A. Nawotki).- Parametric Representation of Complex Mechanical Parts Using PDE Surface Generation (M. Robinson, M. I. G. Bloor, M. J. Wilson).- Data-Dependent Triangulation in the Plane with Adaptive Knot Placement (R. Schätzl, H. Hagen, J. C. Barnes, B. Hamann, K.I. Joy).- Implicit Surfaces Revisited-I-Patches (T. Várady, P. Benkö, G. Kós, A. Rockwood).- Radial Basis Functions, Discrete Differences, and Bell-Shaped Bases (J. Warren, H. Weimer)