Modeling in Computer Graphics Methods and Applications

In the history of technology, many fields have passed from an initial stage of empirical recipes to a mature stage where work is based on formal theories and procedures. This transition is made possible through a process called "modeling". Also Computer Graphics as a separate field of Computer Science makes extensive use of formal theories and procedures of modeling, often derived from related disciplines such as mathematics and physics. Modeling makes different application results consistent, unifying varieties of techniques and formal approaches into a smaller number of models by generalizing and abstracting the knowledge in Computer Graphics. This volume presents a selection of research papers submitted to the conference "Modeling in Computer Graphics: Methods and Applications" held at the Research Area of the National Research Council in Genoa, Italy, on June 28 -July 1, 1993. This meeting was the ideal continuation of a previous conference organized in Tokyo, Japan, in April 1991. The success and the variety of research themes discussed at that meeting suggested to promote a new working conference on methods and applications of modeling to be held in Italy two years later.

1: Methods of Modeling.- 1: Mathematical Modeling for Vision and Graphics.- Area Guide Map Modeling by Manifolds and CW-complexes (invited paper).- The Elementary Equation of the Conjugate Transformation for the Hexagonal Grid.- Generating Views of 3D Objects from Viewer-Centered Representations.- 2: Modeling with Constraints.- A System for Constructive Constraint-based Modelling.- Constrained Optimization in Surface Design.- Adaptive Range Data Approximation by Constrained Surface Triangulation.- Collinearity Constraints on Geometric Figures.- 3: Modeling of Dynamic Objects.- Animation of Interacting Objects with Collisions and Prolonged Contacts.- Hexadecimal-Tree: A Time-Continuous 4D Interference Check Method.- Precise Object Interactions using Solid Modeling Techniques.- On the Spherical Splines for Robot Modeling.- 4: Geometric Modeling.- Different Combinatorial Models based on the Map Concept for the Representation of Subsets of Cellular Complexes.- A Scheme for Single Instance Representation in Hierarchical Assembly Graphs.- Towards the Integration of Solid and Surface Modeling by Means of Pseudo-Boolean Operators.- 5: Surface Modeling as a Creative Tool.- Interactive Axial Deformations.- Surface Generation from an Irregular Network of Parametric Curves.- Hybrid Symbolic and Numeric Operators as Tools for Analysis of Freeform Surfaces.- 6: Curve and Surface Modeling.- Smooth Surface Interpolation with Bézier Surfaces Having Rational Bézier Points.- Curvature Continuous Blend Surfaces.- Filling N-sided Holes.- Finite Representations of Real Parametric Curves and Surfaces.- Interproximation Using Cubic B-spline Curves.- 2: Modeling for Applications.- 7: Modeling for Animation.- Animated Parameter Space.- Modelling Facial Communication Between an Animator and aSynthetic Actor in Real Time.- Synthesis and Animation of Human Faces: Artificial Reality in Interpersonal Video Communication.- 8: Modeling for CIM Applications.- Reasoning about Physical Solids and Processes (invited paper).- Integration of Design by Features and Feature Recognition Approaches through a Unified Model.- 9: Modeling for Rendering Complex Objects.- Modeling in Volume Graphics (invited paper).- Multi-Resolution 3D Approximations for Rendering Complex Scenes.- Volume Tracing Soft Objects.- List of Contributors.