Gerald Farin 
Curves and Surfaces for CAGD [PDF ebook] 
A Practical Guide

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. – 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