Curves and Surfaces for CAGD: A Practical Guide, 5/e

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.

Contents

Preface  
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  
References  
Index