Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

  • Rida T. Farouki

Part of the Geometry and Computing book series (GC, volume 1)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Algebra

    1. Pages 1-8
    2. Pages 11-28
    3. Pages 29-43
    4. Pages 45-60
    5. Pages 61-77
    6. Pages 79-86
  3. Geometry

    1. Pages 89-129
    2. Pages 131-196
    3. Pages 197-230
    4. Pages 231-246
  4. Computer Aided Geometric Design

    1. Pages 249-260
    2. Pages 261-293
    3. Pages 323-343
    4. Pages 345-366
  5. Planar Pythagorean-hodograph Curves

About this book

Introduction

By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers.

Keywords

Augmented Reality algorithm algorithms animation computer graphics computer-aided design (CAD) construction robotics stability

Authors and affiliations

  • Rida T. Farouki
    • 1
  1. 1.Department of Mechanical and Aeronautical EngineeringUniversity of CaliforniaDavisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-73398-0
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-73397-3
  • Online ISBN 978-3-540-73398-0
  • Series Print ISSN 1866-6795
  • About this book