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Subdivision Surfaces

  • Jörg Peters
  • Ulrich Reif

Part of the Geometry and Computing book series (GC, volume 3)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pages 39-55
  3. Pages 57-81
  4. Pages 175-181
  5. Back Matter
    Pages 183-204

About this book

Introduction

Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood.

This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.

The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.

Keywords

Graph Sim algorithms computer graphics computer-aided design (CAD) development topology

Authors and affiliations

  • Jörg Peters
    • 1
  • Ulrich Reif
    • 2
  1. 1.Dept. Computer & Information ScienceUniversity of FloridaGainesvilleUSA
  2. 2.FB MathematikTU DarmstadtDarmstadtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-76406-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-76405-2
  • Online ISBN 978-3-540-76406-9
  • Series Print ISSN 1866-6795
  • Buy this book on publisher's site