Subdivision Methods for Geometric Design

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

Software developers for CAD and CAM systems, geometric modeling researchers, mathematicians, and engineers, and graphics programmers