Pyramid algorithms a dynamic programming approach to curves and surfaces for geometric modeling /

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...

Πλήρης περιγραφή

Κύριος συγγραφέας: Goldman, Ron, 1947-
Μορφή: Ηλεκτρονική πηγή
Γλώσσα: English
Στοιχεία έκδοσης: San Francisco, Calif. : Morgan Kaufmann, 2003.
Σειρά: Morgan Kaufmann series in computer graphics and geometric modeling.
Θέματα:
Διαθέσιμο Online: http://www.sciencedirect.com/science/book/9781558603547
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245 1 0 |a Pyramid algorithms  |h [electronic resource] :  |b a dynamic programming approach to curves and surfaces for geometric modeling /  |c Ron Goldman. 
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300 |a 1 online resource (xxiii, 551 pages) :  |b illustrations. 
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505 0 |a 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. 
520 |a 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. 
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