Subdivision Methods for Geometric Design

Subdivision Methods for Geometric Design

A Constructive Approach

1st Edition - October 19, 2001

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  • Authors: Joe Warren, Henrik Weimer
  • eBook ISBN: 9780080498324

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Subdivision Methods for Geometric Design provides computer graphics students and designers with a comprehensive guide to subdivision methods, including the background information required to grasp underlying concepts, techniques for manipulating subdivision algorithms to achieve specific effects, and a wide array of digital resources on a dynamic companion Web site. Subdivision Methods promises to be a groundbreaking book, important for both advanced students and working professionals in the field of computer graphics.

Key Features

The only book devoted exclusively to subdivision techniques
Covers practical topics including uniform Bezier and B-Spline curves, polyhedral meshes, Catmull-Clark subdivision for quad meshes and objects with sharp creases and pointed vertices
A companion website provides example code and concept implementations of subdivision concepts in an interactive Mathematica environment


Software developers for CAD and CAM systems, geometric modeling researchers, mathematicians, and engineers, and graphics programmers

Table of Contents

  • Foreword
    Table of Symbols
    Chapter 1 Subdivision: Functions as Fractals
    Chapter 2 An Integral Approach to Uniform Subdivision
    Chapter 3 Convergence Analysis for Uniform Subdivision Schemes
    Chapter 4 A Differential Approach to Uniform Subdivision
    Chapter 5 Local Approximation of Global Differential Schemes
    Chapter 6 Variational Schemes for Bounded Domains
    Chapter 7 Averaging Schemes for Polyhedral Meshes
    Chapter 8 Spectral Analysis at an Extraordinary Vertex

Product details

  • No. of pages: 320
  • Language: English
  • Copyright: © Morgan Kaufmann 2001
  • Published: October 19, 2001
  • Imprint: Morgan Kaufmann
  • eBook ISBN: 9780080498324

About the Authors

Joe Warren

Joe Warren, Professor of Computer Science at Rice University since 1986, is one of the world's leading experts on subdivision. Of his nearly 50 computer science papers-published in prestigious forums such as SIGGRAPH, Transactions on Graphics, Computer-Aided Geometric Design, and The Visual Computer-a dozen specifically address subdivision and its applications to computer graphics. Prof. Warren received both his M.S. and Ph.D. in Computer Science at Cornell University. His research interests focus on mathematical methods for representing geometric shape.

Affiliations and Expertise

Rice University, Houston, Texas, U.S.A.

Henrik Weimer

Henrik Weimer is a research scientist at the DaimlerChrysler Corporate Research Center in Berlin, where he works on knowledge-based support for the design and creation of engineering products. Dr. Weimer obtained his Ph.D. in Computer Science from Rice University.

Affiliations and Expertise

DaimlerChrysler AG, Berlin, Germany

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