Subdivision Methods for Geometric Design: A Constructive Approach

Portada
Morgan Kaufmann, 2002 - 299 pàgines
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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.

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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Continguts

Functions as Fractals
1
An Integral Approach to Uniform Subdivision
27
69
39
Convergence Analysis for Uniform Subdivision Schemes
62
A Differential Approach to Uniform Subdivision
91
Local Approximation of Global Differential Schemes
120
99
230
Spectral Analysis at an Extraordinary Vertex
239
References
276
103
280
Index
287
Copyright

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