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A Short Course in Computational Geometry and Topology

Herbert Edelsbrunner

$162.95   $130.01

Paperback

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English
Springer International Publishing AG
12 May 2014
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.
By:  
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 7mm
Weight:   1.942kg
ISBN:   9783319059563
ISBN 10:   3319059564
Series:   SpringerBriefs in Applied Sciences and Technology
Pages:   110
Publication Date:  
Audience:   Professional and scholarly ,  College/higher education ,  Undergraduate ,  Primary
Format:   Paperback
Publisher's Status:   Active
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.

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