Curves and Surfaces for CAGD: A Practical GuideThis 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 leadingedge. 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.

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Contents
How a Simple System Was Born  1 
Chapter 2 Introductory Material  13 
Chapter 3 Linear Interpolation  25 
Chapter 4 The de Casteljau Algorithm  43 
Chapter 5 The Bernstein Form of a Bézier Curve  57 
Chapter 6 Bézier Curve Topics  81 
Chapter 7 Polynomial Curve Constructions  95 
Chapter 8 BSpline Curves  119 
Chapter 17 Bézier Triangles  309 
Chapter 18 Practical Aspects of Bézier Triangles  335 
Differential Geometry II  349 
Chapter 20 Geometric Continuity for Surfaces  367 
Chapter 21 Surfaces with Arbitrary Topology  377 
Chapter 22 Coons Patches  399 
Chapter 23 Shape  419 
Chapter 24 Evaluation of Some Methods  431 
Chapter 9 Constructing Spline Curves  147 
Differential Geometry I  179 
Chapter 11 Geometric Continuity  191 
Chapter 12 Conic Sections  205 
Chapter 13 Rational Bézier and BSpline Curves  227 
Chapter 14 Tensor Product Patches  245 
Chapter 15 Constructing Polynomial Patches  269 
Chapter 16 Composite Surfaces  285 