Curves and Surfaces for CAGD, 5th Edition

A Practical Guide

Curves and Surfaces for CAGD, 5th Edition,Gerald Farin,ISBN9781558607378


Morgan Kaufmann




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Key Features

* Provides authoritative and accessible information for those working with or developing computer-aided geometric design applications.
* Covers all significant CAGD curve and surface design techniques-from the traditional to the experimental.
* Includes a new chapter on recursive subdivision and triangular meshes.
* Presents topical programming exercises useful to professionals and students alike.
* Offers complete C implementations of many of the book's examples via a companion Web site.


This fifth edition has been fully updated to cover the many advances made in CAGD and curve and surface theory since 1997, when the fourth edition appeared. Material has been restructured into theory and applications chapters. The theory material has been streamlined using the blossoming approach; the applications material includes least squares techniques in addition to the traditional interpolation methods. In all other respects, it is, thankfully, the same. This means you get the informal, friendly style and unique approach that has made Curves and Surfaces for CAGD: A Practical Guide a true classic.

The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge. You'll gain a deep, practical understanding of their advantages, disadvantages, and interrelationships, and in the process you'll see why this book has emerged as a proven resource for thousands of other professionals and academics.


CAD designers (engineering designers, architectural engineers, scientific visualization, and computer graphics) and professionals working with or developing computer-aided geometric design (CAGD) applications, including computer scientists, mathematicians, engineers, software developers for CAD/CAM systems, geometric modeling researchers, and graphics programmers.

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

Curves and Surfaces for CAGD, 5th Edition

Chapter 1 P. Béezier: How a Simple System Was Born
Chapter 2 Introductory Material
Chapter 3 Linear Interpolation
Chapter 4 The de Casteljau Algorithm
Chapter 5 The Bernstein Form of a Béezier Curve
Chapter 6 Béezier Curve Topics
Chapter 7 Polynomial Curve Constructions
Chapter 8 B-Spline Curves
Chapter 9 Constructing Spline Curves
Chapter 10 W. Boehm: Differential Geometry I
Chapter 11 Geometric Continuity
Chapter 12 ConicSections
Chapter 13 Rational Béezier and B-Spline Curves
Chapter 14 Tensor Product Patches
Chapter 15 Constructing Polynomial Patches
Chapter 16 Composite Surfaces
Chapter 17 Béezier Triangles
Chapter 18 Practical Aspects of Béezier Triangles
Chapter 19 W. Boehm: Differential Geometry II
Chapter 20 GeometricContinuityforSurfaces
Chapter 21 Surfaces with Arbitrary Topology
Chapter 22 Coons Patches
Chapter 23 Shape
Chapter 24 Evaluation of Some Methods
Appendix A Quick Reference of Curve and Surface Terms
Appendix B List of Programs
Appendix C Notation
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