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Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling (Morgan Kaufmann Series in Computer Graphics and Geometric Mo)

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Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling (Morgan Kaufmann Series in Computer Graphics and Geometric Mo) Cover

 

Synopses & Reviews

Publisher Comments:


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.

x Written by one of the world's most eminent CAGD researchers
x Designed for use as both a professional reference and a textbook, and addressed to computer scientists, engineers, mathematicians, theoreticians, and students alike
x Includes chapters on Bezier curves and surfaces, B-splines, blossoming, and multi-sided Bezier patches
x 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
x Foreword by Professor Helmut Pottmann, Vienna University of Technology

Synopsis:

Ideal as a comprehensive introduction to fundamental algorithms for basic curves and surfaces, or for a deeper understanding of entities with which readers may be familiar, this book presents a simple approach to the entire structure of algorithms.

Synopsis:

Pottmann, Vienna University of Technology

About the Author

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.

Sun Microsystems, Inc., Santa Clara, California, U.S.A.

Table of Contents

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

Product Details

ISBN:
9781558603547
Author:
Goldman, Ron
Publisher:
Morgan Kaufmann Publishers
Location:
Amsterdam
Subject:
Data processing
Subject:
Computer Graphics - General
Subject:
Computer graphics
Subject:
Geometrical models
Subject:
Computer graphics -- Design.
Subject:
Programming - Algorithms
Subject:
Geometrical models -- Data processing.
Subject:
Software Engineering-Algorithms
Edition Number:
1
Series:
Morgan Kaufmann series in computer graphics and geometric modeling
Series Volume:
20
Publication Date:
20020731
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
576
Dimensions:
9.25 x 7.375 in

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Related Subjects

Computers and Internet » Graphics » General
Computers and Internet » Software Engineering » Algorithms
Science and Mathematics » Mathematics » Advanced

Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling (Morgan Kaufmann Series in Computer Graphics and Geometric Mo) New Hardcover
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$153.50 Backorder
Product details 576 pages Morgan Kaufmann Publishers - English 9781558603547 Reviews:
"Synopsis" by , Ideal as a comprehensive introduction to fundamental algorithms for basic curves and surfaces, or for a deeper understanding of entities with which readers may be familiar, this book presents a simple approach to the entire structure of algorithms.
"Synopsis" by , Pottmann, Vienna University of Technology
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