Includes bibliographical references and index.

Print version record.

Foreword -- Preface -- Table of Symbols -- Chapter 1 Subdivision: Functions as Fractals -- Chapter 2 An Integral Approach to Uniform Subdivision -- Chapter 3 Convergence Analysis for Uniform Subdivision Schemes -- Chapter 4 A Differential Approach to Uniform Subdivision -- Chapter 5 Local Approximation of Global Differential Schemes -- Chapter 6 Variational Schemes for Bounded Domains -- Chapter 7 Averaging Schemes for Polyhedral Meshes -- Chapter 8 Spectral Analysis at an Extraordinary Vertex -- References -- Index.

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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