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Curves and Surfaces for CAGD

A Practical Guide

  • 4th Edition - September 24, 1996
  • Latest edition
  • Author: Gerald Farin
  • Language: English

This unified treatment of curve and surface design concepts is the Fourth Edition of the popular text, Curves and Surfaces for Computer-Aided Geometric Design, Third Edition (Acade… Read more

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Description

This unified treatment of curve and surface design concepts is the Fourth Edition of the popular text, Curves and Surfaces for Computer-Aided Geometric Design, Third Edition (Academic Press, 1992). Assuming only a background in calculus and basic linear algebra, this revised and updated classic is highly accessible and should be of interest to a wide audience; from computer graphics hobbyists to software developers for CAD/CAM systems. The authors informal style makes this book very reader-friendly, and the IBM disk included in the back of the book will allow the user to gain first-hand experience with the concepts as they are explained.This book focuses on Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation, and Coons methods. In this Fourth Edition, the content has been thoroughly revised and updated to include a newchapter on recursive subdivision, new material on nonrectangular topology, surface faceting, stereo lithography, and new sections on triangulations and scattered data interpolants. The disk provided in the back of the book has also been updated to include all of the data sets and the C code used in the book.

Key features

Covers tensor product Bezier surfacesIncludes a chapter on recursive subdivisionsIncorporates new material on surface faceting, stereo lithography, and nonrectangular topologyProvides many C programs and data sets on the IBM disk included with the book

Readership

All computer graphics enthusiasts, researchers, and academicians; CAD/CAM developers, graphics programmers; researchers and students in geometric modeling.

Table of contents

P. Bezier: How a Simple System Was Born. Introductory Material. The de Casteljau Algorithm. The Bernstein Form of a Bezier Curve. Bezier Curve Topics. Polynomial Interpolation. Spline Curves in Bezier Form. Piecewise Cubic Interpolation. Cubic Spline Interpolation. B-Splines. W. Boehm: Differential Geometry I. Geometric Continuity. Conic Sections. Rational Bezier and B-Spline Curves. Tensor Product Patches. Composite Surfaces and Spline Interpolation. Bezier Triangles. Geometric Continuity for Surfaces. Surfaces with Arbitrary Topology. Coons Patches. Coons Patches: Additional Material. W. Boehm: Differential Geometry II. Interrogation and Smoothing. Evaluation of Some Methods. Quick Reference of Curve and Surface Terms. Subject Index.

Product details

  • Edition: 4
  • Latest edition
  • Published: September 24, 1996
  • Language: English

About the author

GF

Gerald Farin

Professor Gerald Farin currently teaches in the computer science and engineering department at Arizona State University. He received his doctoral degree in mathematics from the University of Braunschweig, Germany, in 1979. His extensive CAGD experience includes working as a research mathematician in a computer-aided development for Daimler-Benz, serving on the executive committee of the ASU PRISM project, and speaking at a multitude of symposia and conferences. Farin has authored and edited several books and papers, and he is editor-in-chief of Computer Aided Geometric Design.

Affiliations and expertise
Arizona State University, Tempe, AZ