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A Short Course in Computational Geometry and Topology

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A Short Course in Computational Geometry and Topology Synopsis

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.

About This Edition

ISBN: 9783319059563
Publication date: 12th May 2014
Author: Herbert Edelsbrunner
Publisher: Springer International Publishing AG
Format: Paperback
Pagination: 110 pages
Series: SpringerBriefs in Applied Sciences and Technology
Genres: Numerical analysis
Topology
Biomedical engineering
Computational biology / bioinformatics