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A Short Course in Computational Geometry and Topology
Taschenbuch von Herbert Edelsbrunner
Sprache: Englisch

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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.
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.
Zusammenfassung

Presents a short course in computational geometry and topology

Provides exercises at the end of each chapter

Written by an expert in the field

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2014
Fachbereich: EDV
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Inhalt: ix
110 S.
4 s/w Illustr.
60 farbige Illustr.
110 p. 64 illus.
60 illus. in color.
ISBN-13: 9783319059563
ISBN-10: 3319059564
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Edelsbrunner, Herbert
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 7 mm
Von/Mit: Herbert Edelsbrunner
Erscheinungsdatum: 12.05.2014
Gewicht: 0,195 kg
Artikel-ID: 105317173
Zusammenfassung

Presents a short course in computational geometry and topology

Provides exercises at the end of each chapter

Written by an expert in the field

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2014
Fachbereich: EDV
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Inhalt: ix
110 S.
4 s/w Illustr.
60 farbige Illustr.
110 p. 64 illus.
60 illus. in color.
ISBN-13: 9783319059563
ISBN-10: 3319059564
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Edelsbrunner, Herbert
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 7 mm
Von/Mit: Herbert Edelsbrunner
Erscheinungsdatum: 12.05.2014
Gewicht: 0,195 kg
Artikel-ID: 105317173
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