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A Short Course in Computational Geometry and Topology: SpringerBriefs in Applied Sciences and Technology

Autor Herbert Edelsbrunner
en Limba Engleză Paperback – 12 mai 2014
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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Specificații

ISBN-13: 9783319059563
ISBN-10: 3319059564
Pagini: 120
Ilustrații: IX, 110 p. 64 illus., 60 illus. in color.
Dimensiuni: 155 x 235 x 6 mm
Greutate: 0.18 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seriile SpringerBriefs in Applied Sciences and Technology, SpringerBriefs in Mathematical Methods

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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