Pyramid Algorithms - Ron Goldman

Pyramid Algorithms

A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling

(Autor)

Buch | Hardcover
576 Seiten
2002
Morgan Kaufmann Publishers In (Verlag)
978-1-55860-354-7 (ISBN)
129,65 inkl. MwSt
Presents a different approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a programming method based on recursive pyramids. This title is intended for computer scientists, engineers, mathematicians, theoreticians, and students.
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.

Ron Goldman is a researcher at Sun Microsystems Laboratories in California working on alternative software development methodologies and new software architectures inspired by biology. He has been working with open source since hacking on GDB at Lucid, Inc. back in 1992. Since 1998 he has been helping groups at Sun Microsystems understand open source and advising them on how to build successful communities around their open source projects. Prior to Sun he developed a program to generate and manipulate visual representations of complex data for use by social scientists as part of a collaboration between NYNEX Science & Technology and the Institute for Research on Learning. He has worked on programming language design, programming environments, user interface design, and data visualization. He has a PhD in computer science from Stanford University where he was a member of the robotics group.

Chapter 1. FoundationsChapter 2. Lagrange Interpolation and Neville's AlgorithmChapter 3. Hermite Interpolation and the Extended Neville AlgorithmChapter 4. Newton Interpolation and Difference TrianglesChapter 5. Bezier Approximation and Pascal's TriangleChapter 6. BlossomingChapter 7. B-Spline Approximation and the de Boor AlgorithmChapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches

Erscheint lt. Verlag 16.7.2002
Reihe/Serie The Morgan Kaufmann Series in Computer Graphics
Verlagsort San Francisco
Sprache englisch
Maße 187 x 235 mm
Gewicht 1170 g
Themenwelt Informatik Theorie / Studium Algorithmen
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-55860-354-9 / 1558603549
ISBN-13 978-1-55860-354-7 / 9781558603547
Zustand Neuware
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