Overview
- 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)
Buy print copy
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.
Similar content being viewed by others
Keywords
Table of contents (13 chapters)
-
Front Matter
-
Tessellations
-
Front Matter
-
-
Back Matter
-
Complexes
-
Front Matter
-
-
Back Matter
-
Homology
-
Front Matter
-
-
Back Matter
-
Persistence
-
Front Matter
-
Authors and Affiliations
Bibliographic Information
Book Title: A Short Course in Computational Geometry and Topology
Authors: Herbert Edelsbrunner
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-05957-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2014
Softcover ISBN: 978-3-319-05956-3Published: 12 May 2014
eBook ISBN: 978-3-319-05957-0Published: 28 April 2014
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: IX, 110
Number of Illustrations: 4 b/w illustrations, 60 illustrations in colour
Topics: Computational Science and Engineering, Manifolds and Cell Complexes (incl. Diff.Topology), Biomedical Engineering and Bioengineering, Mathematical and Computational Biology