Subdivision Methods for Geometric Design: A Constructive Approach

Front Cover
Elsevier, Nov 1, 2001 - Computers - 320 pages
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.

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
 

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Contents

Functions as Fractals
1
Chapter 2 An Integral Approach to Uniform Subdivision
27
Chapter 3 Convergence Analysis for Uniform Subdivision Schemes
62
Chapter 4 A Differential Approach to Uniform Subdivision
91
Chapter 5 Local Approximation of Global Differential Schemes
120
Chapter 6 Variational Schemes for Bounded Domains
157
Chapter 7 Averaging Schemes for Polyhedral Meshes
198
Chapter 8 Spectral Analysis at an Extraordinary Vertex
239
References
276
Index
287
Copyright

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About the author (2001)

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.

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.

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