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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Goldman, Ron, 1947-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Francisco, Calif. : Morgan Kaufmann, 2003.
Colección:Morgan Kaufmann series in computer graphics and geometric modeling.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Pyramid algorithms :  |b a dynamic programming approach to curves and surfaces for geometric modeling /  |c Ron Goldman. 
260 |a San Francisco, Calif. :  |b Morgan Kaufmann,  |c 2003. 
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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776 0 8 |i Print version:  |a Goldman, Ron, 1947-  |t Pyramid algorithms.  |d San Francisco, Calif. : Morgan Kaufmann, 2003  |z 1558603549  |z 9781558603547  |w (DLC) 2002007240  |w (OCoLC)50487388 
830 0 |a Morgan Kaufmann series in computer graphics and geometric modeling. 
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