A Short Course in Computational Geometry and Topology

  • HerbertĀ Edelsbrunner
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Herbert Edelsbrunner
    Pages 1-6
  3. Tessellations

    1. Front Matter
      Pages 7-7
    2. Herbert Edelsbrunner
      Pages 9-15
    3. Herbert Edelsbrunner
      Pages 17-22
    4. Herbert Edelsbrunner
      Pages 23-27
    5. Back Matter
      Pages 29-29
  4. Complexes

    1. Front Matter
      Pages 31-31
    2. Herbert Edelsbrunner
      Pages 33-39
    3. Herbert Edelsbrunner
      Pages 41-46
    4. Herbert Edelsbrunner
      Pages 47-52
    5. Back Matter
      Pages 53-54
  5. Homology

    1. Front Matter
      Pages 55-55
    2. Herbert Edelsbrunner
      Pages 57-63
    3. Herbert Edelsbrunner
      Pages 65-71
    4. Herbert Edelsbrunner
      Pages 73-78
    5. Back Matter
      Pages 79-80
  6. Persistence

    1. Front Matter
      Pages 81-81
    2. Herbert Edelsbrunner
      Pages 83-89
    3. Herbert Edelsbrunner
      Pages 91-97

About this book

Introduction

With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often
avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes.

Keywords

Alpha Complexes Computational Biology Delaunay Triangulations Persistent Homology Protein Folding and Protein Docking Simplicial Complexes Voronoid Diagrams

Authors and affiliations

  • HerbertĀ Edelsbrunner
    • 1
  1. 1.Institute of Science and Technology AustriaKlosterneuburgAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-05957-0
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-05956-3
  • Online ISBN 978-3-319-05957-0
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book