Subdivision Methods for Geometric Design: A Constructive Approach / Edition 1

Subdivision Methods for Geometric Design: A Constructive Approach / Edition 1

by Joe Warren, Henrik Weimer
     
 

ISBN-10: 1558604464

ISBN-13: 9781558604469

Pub. Date: 10/28/2001

Publisher: Elsevier Science & Technology Books

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

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Overview

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.

Product Details

ISBN-13:
9781558604469
Publisher:
Elsevier Science & Technology Books
Publication date:
10/28/2001
Series:
The Morgan Kaufmann Series in Computer Graphics Series
Edition description:
New Edition
Pages:
320
Product dimensions:
7.62(w) x 9.54(h) x 0.92(d)

Table of Contents

Foreword
Preface
Table of Symbols
Ch. 1Subdivision: Functions as Fractals
1.1Functions
1.2Fractals
1.3Subdivision
Ch. 2An Integral Approach to Uniform Subdivision
2.1A Subdivision Scheme for B-splines
2.2A Subdivision Scheme for Box Splines
2.3B-splines and Box Splines as Piecewise Polynomials
Ch. 3Convergence Analysis for Uniform Subdivision Schemes
3.1Convergence of a Sequence of Functions
3.2Analysis of Univariate Schemes
3.3Analysis of Bivariate Schemes
Ch. 4A Differential Approach to Uniform Subdivision
4.1Subdivision for B-splines
4.2Subdivision for Box Splines
4.3Subdivision for Exponential B-splines
4.4A Smooth Subdivision Scheme with Circular Precision
Ch. 5Local Approximation of Global Differential Schemes
5.1Subdivision for Polyharmonic Splines
5.2Local Approximations to Polyharmonic Splines
5.3Subdivision for Linear Flows
Ch. 6Variational Schemes for Bounded Domains
6.1Inner Products for Stationary Subdivision Schemes
6.2Subdivision for Natural Cubic Splines
6.3Minimization of the Variational Scheme
6.4Subdivision for Bounded Harmonic Splines
Ch. 7Averaging Schemes for Polyhedral Meshes
7.1Linear Subdivision for Polyhedral Meshes
7.2Smooth Subdivision for Quad Meshes
7.3Smooth Subdivision for Triangle Meshes
7.4Other Types of Polyhedral Schemes
Ch. 8Spectral Analysis at an Extraordinary Vertex
8.1Convergence Analysis at an Extraordinary Vertex
8.2Smoothness Analysis at an Extraordinary Vertex
8.3Verifying the Smoothness Conditions for a Given Scheme
8.4Future Trends in Subdivision
References
Index

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