img Leseprobe Leseprobe

A Short Course in Computational Geometry and Topology

Herbert Edelsbrunner

PDF
ca. 74,89

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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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Schlagwörter

Simplicial Complexes, Computational Biology, Voronoid Diagrams, Alpha Complexes, Protein Folding and Protein Docking, Delaunay Triangulations, Persistent Homology