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Pyramid Algorithms
A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
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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
577 pages; ISBN 9780080515472
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- Academic > Mathematics > General > Logic, Symbolic and mathematical
- Academic > Mathematics > General > Recursion theory
- Academic > Mathematics > General > Recursive functions
- Academic > Mathematics > Instruments and machines
- Academic > Mathematics > Analytic mechanics
- Academic > Logic > Recursion theory
- Academic > Logic > Recursive functions
- Academic > Computer Science
- Academic > Engineering
- Computers > Programming > Algorithms
- Technology > Engineering > Civil
- Mathematics > Geometry
- Computers > Computer Graphics
- Computers > Information Technology
- Computers > Data Modeling & Design

