
A Short Course in Computational Geometry and Topology
Herbert Edelsbrunner(Author)
Springer (Publisher)
Published on 12. May 2014
Book
Paperback/Softback
IX, 110 pages
978-3-319-05956-3 (ISBN)
Description
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.
More details
Series
Edition
2014
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
4 s/w Abbildungen, 60 farbige Abbildungen
IX, 110 p. 64 illus., 60 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 7 mm
Weight
195 gr
ISBN-13
978-3-319-05956-3 (9783319059563)
DOI
10.1007/978-3-319-05957-0
Schweitzer Classification
Other editions
Additional editions

Herbert Edelsbrunner
A Short Course in Computational Geometry and Topology
E-Book
04/2014
1st Edition
Springer
€85.59
Available for download
Content
Roots of Geometry and Topology.- Voronoi and Delaunay Diagrams.- Weighted Diagrams.- Three Dimensions.- Alpha Complexes.- Holes.- Area Formulas.- Topological Spaces.- Homology Groups.- Complex Construction.- Filtrations.- PL Functions.- Matrix Reduction.- Epilogue.