A Short Course in Computational Geometry and Topology (SpringerBriefs in Mathematical Methods)

Edelsbrunner, Herbert

ISBN 10: 3319059564 / ISBN 13: 9783319059563

Published by Springer, 2014

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Bibliographic Details

• Title: A Short Course in Computational Geometry and Topology (SpringerBriefs in Mathematical Methods)
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 3319059564
• ISBN 13: 9783319059563
• Binding: Soft cover
• Condition: Good

About this title

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.

From the Back Cover

With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often
avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes.