Atsuyuki Okabe, Barry Boots, Kokichi Sugihara, Sung Nok Chiu

Spatial Tessellations

Concepts and Applications of Voronoi Diagrams
Mitwirkender: Okabe, Atsuyuki

• Gebundenes Buch

Produktbeschreibung

Das hervorragend eingeführte Übersichtswerk zur räumlichen Datenanalyse mit Hilfe von Voronoi-Diagrammen ist nun in stark erweiterter Neuauflage erschienen! Die Autoren diskutieren verschiedenste Originalarbeiten und Ansätze, ohne spezielle Schwerpunkte zu setzen - so entstand ein sehr ausgewogenes Werk. Ausgehend von den mathematischen Grundbegriffen werden verallgemeinerte Voronoi-Diagramme, räumliche Interpolationen, Manipulationen multivariater Daten, Modellierungen räumlicher Muster und viele andere Aspekte dargestellt. Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization. With such versatility, the Voronoi diagram and its relative, the Delaunay triangulation, provide valuable tools for the analysis of spatial data. This is a rapidly growing research area and in this fully updated second edition the authors provide an up-to-date and comprehensive unification of all the previous literature on the subject of Voronoi diagrams.Features: Expands on the highly acclaimed first edition Provides an up-to-date and comprehensive survey of the existing literature on Voronoi diagrams Includes a useful compendium of applications Contains an extensive bibliography. A wide range of applications is discussed, enabling this book to serve as an important reference volume on this topic. The text will appeal to students and researchers studying spatial data in a number of areas, in particular, applied probability, computational geometry, and Geographic Information Science (GIS). This book will appeal equally to those whose interests in Voronoi diagrams are theoretical, practical or both.

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Produktdetails

• Verlag: Wiley & Sons
• 2. Aufl.
• Seitenzahl: 696
• Erscheinungstermin: 26. Juli 2000
• Englisch
• Abmessung: 235mm x 157mm x 45mm
• Gewicht: 1082g
• ISBN-13: 9780471986355
• ISBN-10: 0471986356
• Artikelnr.: 21558263

Autorenporträt

Atsuyuki Okabe is the author of Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd Edition, published by Wiley. Barry Boots is the author of Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd Edition, published by Wiley.

Inhaltsangabe

Definitions and Basic Properties of Voronoi Diagrams.
Generalizations of the Voronoi Diagram.
Algorithms for Computing Voronoi Diagrams.
Poisson Voronoi Diagrams.
Spatial Interpolation.
Models of Spatial Processes.
Point Pattern Analysis.
Locational Optimization Through Voronoi Diagrams.
References.
Index.

Rezensionen

"While this edition maintains the overall structure of the first, there are substantial changes in the content..." (Mathematical Reviews, Issue 2001c)
"...a must..." (Monatshefte fur Mathematik, Vol 131/2, 2000)