A Short Course in Computational Geometry and Topology

Nonfiction, Science & Nature, Mathematics, Topology, Computers, Advanced Computing, Computer Science, Science
Cover of the book A Short Course in Computational Geometry and Topology by Herbert Edelsbrunner, Springer International Publishing
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Author: Herbert Edelsbrunner ISBN: 9783319059570
Publisher: Springer International Publishing Publication: April 28, 2014
Imprint: Springer Language: English
Author: Herbert Edelsbrunner
ISBN: 9783319059570
Publisher: Springer International Publishing
Publication: April 28, 2014
Imprint: Springer
Language: English

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.

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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.

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