Geometric Modeling: Theory and Practice

The state of the art of geometric modeling is presented in this volume, based on the international conference held at Blaubeuren, Germany, in October 1996. The authors are leading experts from universities, CAD system vendors, and users of geometric modelers.

Inhalt
I Mathematical Tools.- Variational Design with Boundary Conditions and Parameter Optimized Surface Fitting.- Special Applications in Surface Fitting.- A Synthesis Process for Fair Free-Form Surfaces.- Computing Minimal Surfaces with Particle Systems.- Orthogonality Relations for Cardinal B-Splines over Bounded Intervals.- Optimizing CNC Programs Using Spline Techniques.- New Approximation Methods for Planar Offset and Convolution Curves.- Detection and Computation of Degenerate Normal Vectors on Tensor Product Polynomial Surfaces.- Surfaces Intersection for Solid Algebra: A Classification Algorithm.- A Degree-of-Freedom Graph Approach.- II Representations.- Multiple-View Feature Modelling and Conversion.- A Knowledge Representation Perspective on Geometric Modeling.- Projection Operation for Multidimensional Geometric Modeling with Real Functions.- Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objects.- Synthesis of a Unified Approach to Shape Modeling.- Virtual Topology Construction and Applications.- Generalization of Modified Octrees for Geometric Modeling.- Boundary Generation from Voxel-based Volume Representations.- Conversion of Binary Space Partitioning Trees to Boundary Representation.- A Formal Approach to Multiresolution Hypersurface Modeling.- Generation of Multiresolution Models from CAD-Data for Real Time Rendering.- Piecewise Linear Approximation for Scientific Data.- III Systems.- Provision of an Explicit Constraints Schema in the STEP Standard.- MicroStation Modeler: The Design and Implementation of an Extensible Solid Modeling System.- Contour Edge Analysis for Polyhedron Projections.- IV Automated Assembly.- Atlas: An Automatic Assembly Sequencing and Fixturing System.- Geometrical and Physical Reasoning for Stable Assembly Sequence Planning.