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A Short Course in Computational Geometry and Topology

  • Book
  • © 2014

Overview

Authors:
  1. Herbert Edelsbrunner

    1. Institute of Science and Technology Austria, Klosterneuburg, Austria

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  • Presents a short course in computational geometry and topology
  • Provides exercises at the end of each chapter
  • Written by an expert in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Part of the book sub series: SpringerBriefs in Mathematical Methods (BRIEFSMATHMETH)

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Table of contents (13 chapters)

  1. Persistence

    1. Matrix Reduction

      • Herbert Edelsbrunner
      Pages 99-105

  2. Back Matter

    Pages 107-108
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  3. Back Matter

    Pages 109-110
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Keywords

About this book

This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.

Authors and Affiliations

  • Institute of Science and Technology Austria, Klosterneuburg, Austria

    Herbert Edelsbrunner

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