Screen LibraryPyramid 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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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Morgan Kaufmann,
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| Publisher Address: | San Francisco, Calif. : |
| Publication Dates: | 2003. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Morgan Kaufmann series in computer graphics and geometric modeling
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| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9781558603547 |
| Summary: |
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. |
| Carrier Form: | 1 online resource (xxiii, 551 pages) : illustrations. |
| ISBN: |
9781558603547 1558603549 |
| Index Number: | QA9 |
| CLC: | TP391.41 |
| Contents: | 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. |