Geometric Modeling

Fundamental Developments of Computer-Aided Geometric Modeling
Les Piegl (Ed.)

Hardcover - 414 pages
Academic Press, New York, NY
First Edition, 1993
ISBN 0-12-554765-X

Welcome to Fundamental Developments of Computer-Aided Geometric Modeling, a collection of papers written by the pioneers of CAD. This book is a mix of science and history, covering the scientific basics as well as the evolutionary aspects of computer geometry as used in design engineering. The book contains a wealth or material on computational geometric methods and at the same time it shows how things were discovered from the late 1950s.

Table of contents:

Polar forms for curve and surface modeling as used at Citroen, by Paul de Casteljau
The first years of CAD/CAM and the UNISURF CAD system, by Pierre E. Bezier
B(asic)-spline basics, by Carl de Boor
Algorithms for spline curves and surfaces, by Maurice G. Cox
Modeling with NURBS curves and surfaces, by Richard F. Riesenfeld
F-methods for free-form curve and hypersurface definition, by James C. Ferguson
Sculptured surface definition via blending-function methods, by William J. Gordon
Coons' patches and convex combinations, by Robert E. Barnhill
Boundary modeling, by Ian C. Braid
Conceptual modeling in design, by Charles M. Eastman
Research in solid modeling at the University of Rochester: 1972-87, by Herbert B. Voelcker and Aristides A. G. Requicha
Numerical master geometry, n-sided patches and surface interrogations, by Malcolm A. Sabin
Geometric methods for Computer-Aided Design, by Michael J. Pratt
Computer systems for interactive design: the description of MULTIPATCH, MULTIOBJECT and other existing systems, by Andrew P. Armit
Interactive graphics and numerical control for Computer-Aided Design, by David F. Rogers
Computer-Aided Design - 1959 through 1965 - in the design and graphics division of MIT's Mechanical Engineering Department, by Robert W. Mann
A philosophy of Computer-Aided Design, by Douglas T. Ross

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