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.