Willkommen, schön sind Sie da!
Logo Ex Libris

A Short Course in Computational Geometry and Topology

  • Kartonierter Einband
  • 120 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams ... Weiterlesen
20%
78.00 CHF 62.40
Sie sparen CHF 15.60
Print on Demand - Auslieferung erfolgt in der Regel innert 4 bis 6 Wochen.
Bestellung & Lieferung in eine Filiale möglich

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.

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: sn.pub/extras



Klappentext

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.



Inhalt
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.

Produktinformationen

Titel: A Short Course in Computational Geometry and Topology
Autor:
EAN: 9783319059563
ISBN: 3319059564
Format: Kartonierter Einband
Herausgeber: Springer International Publishing
Anzahl Seiten: 120
Gewicht: 195g
Größe: H235mm x B155mm x T6mm
Jahr: 2014
Untertitel: Englisch
Auflage: 2014