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Call Number 511.3
Author Goldman, Ron, 1952-
Title Pyramid algorithms [electronic resource] : a dynamic programming approach to curves and surfaces for geometric modeling / Ron Goldman.
Publication San Francisco, Calif. : Morgan Kaufmann, 2003.
Material Info. xxiii, 551 p. : ill. ; 24 cm.
Series Morgan Kaufmann series in computer graphics and geometric modeling
Summary Note 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.
Notes 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.
Notes Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
Subject Recursive functions Data processing.
Subject Geometrical drawing Data processing.
Subject Electronic books.
Added Entry ScienceDirect (Online service)
Date Year, Month, Day:01405141
Link An electronic book accessible through the World Wide Web; click for information ScienceDirect

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