02810nam a2200277 a 4500 1/45221 140820s2003 us 001 0 eng 9781558603547 1558603549 48180 OPELS eng pn OPELS OKU OCLCQ OCLCE OCLCO E7B OCLCF OCLCQ GR-PeUP Goldman, Ron, 1947- Pyramid algorithms [electronic resource] : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman. San Francisco, Calif. : Morgan Kaufmann, 2003. 1 online resource (xxiii, 551 pages) : illustrations. Morgan Kaufmann series in computer graphics and geometric modeling Introduction : foundations -- Lagrange interpolation and Neville's algorithm -- Hermite interpolation and the extended Neville algorithm -- Newton interpolation and difference triangles -- Bezier approximation and Pascal's Triangle -- Blossoming -- B-spline approximation and the de Boor algorithm -- Pyramid algorithms for multisided Bezier patches. Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive pyramids. The recursive pyramid approach offers the distinct advantage of revealing the entire structure of algorithms, as well as relationships between them, at a glance. This book-the only one built around this approach-is certain to change the way you think about CAGD and the way you perform it, and all it requires is a basic background in calculus and linear algebra, and simple programming skills. * Written by one of the world's most eminent CAGD researchers * Designed for use as both a professional reference and a textbook, and addressed to computer scientists, engineers, mathematicians, theoreticians, and students alike * Includes chapters on Bezier curves and surfaces, B-splines, blossoming, and multi-sided Bezier patches * Relies on an easily understood notation, and concludes each section with both practical and theoretical exercises that enhance and elaborate upon the discussion in the text * Foreword by Professor Helmut Pottmann, Vienna University of Technology. Recursive functions Data processing. Geometrical drawing Data processing. Electronic books. Morgan Kaufmann series in computer graphics and geometric modeling. INST UNIPILB EBOOKS 20140820 00b48180 00b48180 ONLINE 0 ScienceDirect http://www.sciencedirect.com/science/book/9781558603547 /webopac/covers/03/48180_9781558603547.jpg /webopac/covers/03/48180_1558603549.jpg