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" Pyramid algorithms : "
Ron Goldman.
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BL
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| Record Number
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1017363
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b771733
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| Main Entry
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Goldman, Ron,1947-
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| Title & Author
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Pyramid algorithms : : a dynamic programming approach to curves and surfaces for geometric modeling /\ Ron Goldman.
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| Publication Statement
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Amsterdam ;Boston :: Morgan Kaufmann Publishers,, ©2003.
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| Series Statement
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The Morgan Kaufmann series in computer graphics and geometric modeling
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| Page. NO
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1 online resource (xxiii, 551 pages) :: illustrations.
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| ISBN
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0080515479
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: 1281078018
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: 1558603549
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: 6611078010
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: 9780080515472
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: 9781281078018
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: 9781558603547
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: 9786611078010
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| Notes
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Includes index.
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| Contents
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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.
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| Abstract
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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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| Subject
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Computer graphics.
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Geometrical models-- Data processing.
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Computer graphics.
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COMPUTERS-- Digital Media-- Graphics Applications.
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COMPUTERS-- Image Processing.
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Geometrical models-- Data processing.
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PHOTOGRAPHY-- Techniques-- Digital.
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TECHNOLOGY ENGINEERING-- Imaging Systems.
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| Dewey Classification
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006.6
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| LC Classification
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T385.G6398 2003
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