Subdivision methods for geometric design : a constructive approach / Joe Warren, Henrik Weimer.

Format:

Book

Author/Creator:

Warren, Joseph D.

Contributor:

Weimer, Henrik.

Series:

Morgan Kaufmann series in computer graphics and geometric modeling.

Morgan Kaufmann series in computer graphics and geometric modeling

Language:

English

Subjects (All):

Computer graphics.

Computer-aided design.

Computer animation.

Topology.

Physical Description:

1 online resource (316 p.)

Place of Publication:

San Francisco : Morgan Kaufmann Publishers, 2001.

Language Note:

English

Summary:

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 technique

Contents:

Front Cover; Subdivision Methods for Geometric Design: A Constructive Approach; Copyright Page; Contents; Foreword; Preface; Table of Symbols; Chapter 1. Subdivision: Functions as Fractals; 1.1 Functions; 1.2 Fractals; 1.3 Subdivision; 1.4 Overview; Chapter 2. An Integral Approach to Uniform Subdivision; 2.1 A Subdivision Scheme for B-splines; 2.2 A Subdivision Scheme for Box Splines; 2.3 B-splines and Box Splines as Piecewise Polynomials; Chapter 3. Convergence Analysis for Uniform Subdivision Schemes; 3.1 Convergence of a Sequence of Functions; 3.2 Analysis of Univariate Schemes

3.3 Analysis of Bivariate SchemesChapter 4. A Differential Approach to Uniform Subdivision; 4.1 Subdivision for B-splines; 4.2 Subdivision for Box Splines; 4.3 Subdivision for Exponential B-splines; 4.4 A Smooth Subdivision Scheme with Circular Precision; Chapter 5. Local Approximation of Global Differential Schemes; 5.1 Subdivision for Polyharmonic Splines; 5.2 Local Approximations to Polyharmonic Splines; 5.3 Subdivision for Linear Flows; Chapter 6. Variational Schemes for Bounded Domains; 6.1 Inner Products for Stationary Subdivision Schemes; 6.2 Subdivision for Natural Cubic Splines

6.3 Minimization of the Variational Scheme6.4 Subdivision for Bounded Harmonic Splines; Chapter 7. Averaging Schemes for Polyhedral Meshes; 7.1 Linear Subdivision for Polyhedral Meshes; 7.2 Smooth Subdivision for Quad Meshes; 7.3 Smooth Subdivision for Triangle Meshes; 7.4 Other Types of Polyhedral Schemes; Chapter 8. Spectral Analysis at an Extraordinary Vertex; 8.1 Convergence Analysis at an Extraordinary Vertex; 8.2 Smoothness Analysis at an Extraordinary Vertex; 8.3 Verifying the Smoothness Conditions for a Given Scheme; 8.4 Future Trends in Subdivision; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-01495-8

9786611014957

0-08-049832-9

OCLC:

437182174