Subdivision Methods for Geometric Design - 1st Edition - ISBN: 9781558604469, 9780080498324

Subdivision Methods for Geometric Design

1st Edition

A Constructive Approach

Authors: Joe Warren Henrik Weimer
eBook ISBN: 9780080498324
Imprint: Morgan Kaufmann
Published Date: 24th October 2001
Page Count: 320
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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


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


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© Morgan Kaufmann 2002
Morgan Kaufmann
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About the Authors

Joe Warren Author

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 Author

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