A Short Course in Computational Geometry and Topology by Herbert EdelsbrunnerA Short Course in Computational Geometry and Topology by Herbert Edelsbrunner

A Short Course in Computational Geometry and Topology

byHerbert Edelsbrunner

Paperback | May 12, 2014

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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.
Title:A Short Course in Computational Geometry and TopologyFormat:PaperbackDimensions:50 pagesPublished:May 12, 2014Publisher:Springer International PublishingLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319059564

ISBN - 13:9783319059563

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Table of Contents

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.