A Short Course in Computational Geometry and Topology
1st Edition
Published on 28. April 2014
IX, 110 pages
978-3-319-05957-0 (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
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
IX, 110 p. 64 illus., 60 illus. in color.
File size
3,46 MB
ISBN-13
978-3-319-05957-0 (9783319059570)
DOI
10.1007/978-3-319-05957-0
Schweitzer Classification
Other editions
Additional editions
Herbert Edelsbrunner
A Short Course in Computational Geometry and Topology
Book
05/2014
Springer
€85.59
Shipment within 10-15 days
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.
