Spatial Tessellations: Concepts and Applications of Voronoi Diagrams 2nd Edition by Atsuyuki Okabe (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “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) From the Inside Flap Spatial Tessellations Concepts and Applications of Voronoi Diagrams Second Edition Atsuyuki Okabe, University of Tokyo, Japan Barry Boots, Wilfrid Laurier University, Ontario, Canada Kokichi Sugihara, University of Tokyo, Japan Sung Nok Chiu, Hong Kong Baptist University, China 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 The authors guide the reader through all the necessary mathematical background, before introducing a number of generalizations of Voronoi diagrams in Chapter 3. The subsequent chapters cover algorithms, random Voronoi diagrams, spatial interpolation, multivariate data manipulation, spatial process models, point pattern analysis and locational optimization. Emphasis of a particular perspective is deliberately avoided in order to provide a comprehensive and balanced treatment of the topic. A wide range of applications are discussed, enabling this book to serve as an important reference volume on the 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. From the Back Cover Spatial Tessellations Concepts and Applications of Voronoi Diagrams Second Edition Atsuyuki Okabe, University of Tokyo, Japan Barry Boots, Wilfrid Laurier University, Ontario, Canada Kokichi Sugihara, University of Tokyo, Japan Sung Nok Chiu, Hong Kong Baptist University, China 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 The authors guide the reader through all the necessary mathematical background, before introducing a number of generalizations of Voronoi diagrams in Chapter 3. The subsequent chapters cover algorithms, random Voronoi diagrams, spatial interpolation, multivariate data manipulation, spatial process models, point pattern analysis and locational optimization. Emphasis of a particular perspective is deliberately avoided in order to provide a comprehensive and balanced treatment of the topic. A wide range of applications are discussed, enabling this book to serve as an important reference volume on the 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. About the Author 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a comprehensive and mathematical discussion of the topic. For a more applications-oriented work, I would suggest “Computational Geometry in C” by Joseph O’Rourke. Incidentally, I paid about $40 for Spatial Tessellations used, which is about what I think it is worth.

⭐The focus of this book is the theory and application of the Voronoi diagram in all its various forms. It is a complete and exhaustive reference work and is the de facto authoritative compendium on all things Voronoi. The book is well-organized, clearly written, and a must-have reference for spatial decomposition and computational problem-solving. Although many concepts are advanced, Dr. Okabe provides excellent examples and complete explanations throughout. The book begins with a history of the the Voronoi diagram and progresses from the simplest two-dimensional applications to more advanced models. There are numerous algorithms, pseudocode examples, and diagrams which illustrate the concepts and make them easy to understand. There are 70 pages of references which are reason enough to purchase the book.

⭐This is a complete reference on Voronoi diagrams, especially in 2D. Almost everything that you need to know on Voronoi diagrams is here. You will be surprised at how much you can do with these diagrams. Those in robotics, computer graphics, computer animation and computational geometry and who wants to know how to apply Voronoi diagrams should take a look at this book.

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