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

Edelsbrunner, Herbert

ISBN 10: 3319059564 / ISBN 13: 9783319059563

Edité par Springer, 2014

A propos de cet article

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Détails bibliographiques

• Titre: A Short Course in Computational Geometry and Topology (SpringerBriefs in Mathematical Methods)
• Éditeur: Springer
• Date de parution: 2014
• Langue: anglais
• ISBN à 10 chiffres: 3319059564
• ISBN à 13 chiffres: 9783319059563
• Reliure: paperback
• État de l'article: Good

A propos de ce titre

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.