Curves and Surfaces for Computer-Aided Geometric Design. A Practical Guide

✍ Scribed by Farin, Gerald E. (Auth.)

Publisher: Elsevier Inc, Academic Press
Year: 2014
Tongue: English
Leaves: 469
Series: Computer Science and Scientific Computing Series
Edition: 3
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level.
The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text.
System Requirements:
IBM PC or compatibles, DOS version 2.0 or higher.

Covers representation, manipulation, and evaluation of geometric shapes
Emphasizes Bernstein-Bezier methods
Written in an informal, easy-to-read style

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages xv-xvii
Chapter 1 - P. Bézier: How a Simple System Was Born, Pages 1-12
Chapter 2 - Introductory Material, Pages 13-28
Chapter 3 - The de Casteljau Algorithm, Pages 29-40
Chapter 4 - The Bernstein Form of a Bézier Curve, Pages 41-63
Chapter 5 - Bézier Curve Topics, Pages 65-81
Chapter 6 - Polynomial Interpolation, Pages 83-100
Chapter 7 - Spline Curves in Bézier Form, Pages 101-120
Chapter 8 - Piecewise Cubic Interpolation, Pages 121-131
Chapter 9 - Cubic Spline Interpolation, Pages 133-155
Chapter 10 - B-splines, Pages 157-187
Chapter 11 - W. Boehm: Differential Geometry I, Pages 189-199
Chapter 12 - Geometric Continuity I, Pages 201-213
Chapter 13 - Geometric Continuity II, Pages 215-222,CP1-CP4,223-227
Chapter 14 - Conic Sections, Pages 229-249
Chapter 15 - Rational Bézier and B-spline Curves, Pages 251-266
Chapter 16 - Tensor Product Bézier Surfaces, Pages 267-289
Chapter 17 - Composite Surfaces and Spline Interpolation, Pages 291-320
Chapter 18 - Bézier Triangles, Pages 321-351
Chapter 19 - Geometric Continuity for Surfaces, Pages 353-362
Chapter 20 - Coons Patches, Pages 363-373
Chapter 21 - Coons Patches: Additional Material, Pages 375-388
Chapter 22 - W. Boehm: Differential Geometry II, Pages 389-405
Chapter 23 - Interrogation and Smoothing, Pages 407-416
Chapter 24 - Evaluation of Some Methods, Pages 417-423
Chapter 25 - Quick Reference of Curve and Surface Terms, Pages 425-430
Appendix 1 - List of Programs, Pages 431-432
Appendix 2 - Notation, Page 433
Bibliography, Pages 435-464
Index, Pages 465-473

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