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PYRAMID ALGORITHMS
Pyramid Algorithms
A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
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By
Ron Goldman, Sun Microsystems, Inc., Santa Clara, California, U.S.A.

Included in series
The Morgan Kaufmann Series in Computer Graphics,

Description


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.

Audience
mechanical engineers, computer scientists, and applied mathematicians; researchers and developers in geometric modeling, computer graphics, and computer-aided geometric design; practitioners in industry who design and implement computer-aided design and computer graphics software; theoreticians in academia interested in exploring and extending the foundations of geometric modeling and computer graphics.

Contents
Chapter 1. Foundations Chapter 2. Lagrange Interpolation and Neville's Algorithm Chapter 3. Hermite Interpolation and the Extended Neville Algorithm Chapter 4. Newton Interpolation and Difference Triangles Chapter 5. Bezier Approximation and Pascal's Triangle Chapter 6. Blossoming Chapter 7. B-Spline Approximation and the de Boor Algorithm Chapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches

Bibliographic details
Hardbound, 576 pages, publication date: JUL-2002
ISBN-13: 978-1-55860-354-7
ISBN-10: 1-55860-354-9
Imprint: MORGAN KAUFFMAN

Price and Ordering
Price:
EUR 86.95
USD 118
GBP 74
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Last update: 7 Sep 2009
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