Computational Geometry

Algorithms and Applications

  • Mark de Berg
  • Otfried Cheong
  • Marc van Kreveld
  • Mark Overmars

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 45-61
  3. Pages 63-93
  4. Pages 121-146
  5. Pages 147-171
  6. Pages 173-190
  7. Pages 191-218
  8. Pages 243-258
  9. Pages 259-281
  10. Pages 283-306
  11. Pages 307-322
  12. Pages 323-333
  13. Pages 335-355
  14. Back Matter
    Pages 357-386

About this book

Introduction

Computational geometry emerged from the ?eld of algorithms design and analysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The success of the ?eld as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains—computer graphics, geographic information systems (GIS), robotics, and others—in which geometric algorithms play a fundamental role. For many geometric problems the early algorithmic solutions were either slow or dif?cult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simpli?ed many of the previous approaches. In this textbook we have tried to make these modern algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry, but it can also be used for self-study.

Keywords

Area CAM Partition Triangulation algorithm algorithms computer science data structure data structures database information linear optimization programming robot robotics

Authors and affiliations

  • Mark de Berg
    • 1
  • Otfried Cheong
    • 2
  • Marc van Kreveld
    • 3
  • Mark Overmars
    • 3
  1. 1.Department of Mathematics and Computer ScienceTU EindhovenEindhovenThe Netherlands
  2. 2.Department of Computer ScienceKAISTDaejeonKorea
  3. 3.Department of Information and Computing SciencesUtrecht UniversityUtrechtThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-77974-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-540-77973-5
  • Online ISBN 978-3-540-77974-2
  • About this book