Subdivision methods for geometric design a constructive approach
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
1 online resource (316 p.).
9781281014955, 9786611014957, 9780080498324, 1281014958, 6611014950, 0080498329
1159614875
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
Description based upon print version of record
English