Pyramid Algorithms

A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
Erscheinungsjahr 2002
ISBN: 978-1-55860-354-7
Verlag: Elsevier Science

Buch, Englisch, 576 Seiten, Format (B × H): 193 mm x 244 mm, Gewicht: 1188 g

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.

Zielgruppe

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

Autoren/Hrsg.

Goldman, Ron

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik
• Technische Wissenschaften Bauingenieurwesen Wasserbau
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Geowissenschaften Umweltwissenschaften Umweltverschmutzung, Umweltkriminalität, Umweltrecht
• Technische Wissenschaften Bauingenieurwesen Baugewerbe, Bauplanung, Baubetrieb
• Geowissenschaften Umweltwissenschaften Abfallbeseitigung, Abfallentsorgung
• Rechtswissenschaften Öffentliches Recht Umweltrecht Abfall- und Bodenschutzrecht
• Wirtschaftswissenschaften Wirtschaftssektoren & Branchen Bauindustrie, Baugewerbe
• Geowissenschaften Umweltwissenschaften Wasserversorgung
• Mathematik | Informatik Mathematik Geometrie
• Technische Wissenschaften Umwelttechnik | Umwelttechnologie Abfallwirtschaft, Abfallentsorgung

Inhaltsverzeichnis

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

Über Autor(innen)

Goldman, Ron
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.