
Subdivision Methods for Geometric Design
A Constructive Approach
Resources
Description
Key Features
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
Readership
Table of Contents
- Foreword
Preface
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
References
Index
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
Henrik Weimer
Affiliations and Expertise
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