Subdivision Methods for Geometric Design :A Constructive Approach ( The Morgan Kaufmann Series in Computer Graphics )

Publication subTitle :A Constructive Approach

Publication series :The Morgan Kaufmann Series in Computer Graphics

Author: Warren   Joe;Weimer   Henrik  

Publisher: Elsevier Science‎

Publication year: 2001

E-ISBN: 9780080498324

P-ISBN(Paperback): 9781558604469

P-ISBN(Hardback):  9781558604469

Subject: TP39 computer application

Language: ENG

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Description

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

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Foreword

pp.:  6 – 12

Contents

pp.:  8 – 6

Preface

pp.:  12 – 14

Table of Symbols

pp.:  14 – 18

Chapter 1. Subdivision: Functions as Fractals

pp.:  18 – 44

Chapter 2. An Integral Approach to Uniform Subdivision

pp.:  44 – 79

Chapter 3. Convergence Analysis for Uniform Subdivision Schemes

pp.:  79 – 108

Chapter 4. A Differential Approach to Uniform Subdivision

pp.:  108 – 137

Chapter 5. Local Approximation of Global Differential Schemes

pp.:  137 – 174

Chapter 6. Variational Schemes for Bounded Domains

pp.:  174 – 215

Chapter 7. Averaging Schemes for Polyhedral Meshes

pp.:  215 – 256

Chapter 8. Spectral Analysis at an Extraordinary Vertex

pp.:  256 – 293

References

pp.:  293 – 304

Index

pp.:  304 – 317

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