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. * Offers complete C implementations of many of the book's examples via a companion Web site; Assuming only a background in calculus and basic linear algebra, this revised and updated classic is highly accessible and should be of interest to a wide audience, from computer graphics hobbyists to software developers for CAD/CAM systems. The author's informal style makes this book very reader-friendly, and the IBM disk included in the back of the book will allow the user to gain first hand experience with the concepts as they are explained. In this Fourth Edition, the content has been thoroughly revised and updated to include a new chapter on recurvsive subdivision, new material on nonrectangular topology, surface faceting, stereo lithography, and new sections on triangulations and scattered data interpolants. The disk provided in the back of the book has also been updated to include all of the data sets and the C code used in the book. FEATURES: Covers tensor product Bezier surfaces. Includes a chatper on recursive subdivisions. Incorporates new material on surface faceting, stereo lithography, and nonrectangular topology. Provides many C programs and data sets on the IBM disk included with the book; Índice: P. Bezier: How a Simple System Was Born: Introductory Material. The de Casteljau Algorithm. The Bernstein Form of a Bezier Curve. Bezier Curve Topics. Polynomial Interpolation. Spline Curves in Bezier Form. Piecewise Cubic Interpolation. B-Splines. W. Boehm: Differential Geometry I: Geometric Continuity. Rational Bezier and B-Spline Curves. Tensor Product Patches. Composite Surfaces and Spline Interpolation. Bezier Triangles. Geometric Continuity for Surfaces. Surfaces with Arbitrary Topology. Coons Patches. Coons Patches: Additional Material. W. Boehm: Differential Geometry II: Interrogation and Smoothing. Evaluation of Some Methods ER -