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Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling
Title:
Pyramid algorithms : a dynamic programming approach to curves and surfaces for geometric modeling
Author:
Goldman, Ron, 1947-
ISBN:
9781558603547
9780080515472
Personal Author:
Publication Information:
San Francisco, Calif. : Morgan Kaufmann, 2003.
Physical Description:
1 online resource (xxiii, 551 pages) : illustrations.
Series:
Morgan Kaufmann series in computer graphics and geometric modeling
Morgan Kaufmann series in computer graphics and geometric modeling.
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.
Abstract:
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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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9781558603547Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA9.615 .G65 2003 EB | 1188469-1001 | Elsevier E-Book Collections | Searching... |
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