Voronoi diagrams are concerned with the manipulation of spatial data and modeling spatial structures and processes as well as pattern recognition and location optimization. This latest volume offers an up-to-date, comprehensive look at research usually scattered throughout the literature, covering such topics as: definitions and basic properties of Voronoi diagrams; algorithms for computing Voronoi diagrams, Poisson Voronoi diagrams; spatial interpolation; models of spatial processes; and point pattern analysis.
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6 of 6 people found the following review helpful:
5.0 out of 5 stars
Most complete reference work on Voronoi tessellations,
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This review is from: Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley Series in Probability and Statistics) (Hardcover)
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.
5.0 out of 5 stars
Good, solid work,
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This review is from: Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley Series in Probability and Statistics) (Hardcover)
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.
5.0 out of 5 stars
complete reference on Voronoi diagrams,
This review is from: Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley Series in Probability and Statistics) (Hardcover)
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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Inside This Book
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First Sentence:
On initial consideration the following problems, which concern a variety of phenomena at disparate scales, would appear to have little in common: Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
empirical point pattern, lower common support, locational optimization, additively weighted distance, first nearest point, general quadratic position, largest empty circle problem, binomial point process, constrained programming problem, indexed counterclockwise, quaternary tree, triangulation spanning, hierarchical facility, empty circumcircle criterion, realizable graph, convex distance functions, random tessellation, geometric graph, full neighbours, generator points, hyperplane process, farthest pair, first conditional moments, hard core processes, cell growth model Key Phrases - Capitalized Phrases (CAPs): (learn more)
Poisson Voronoi, Euclidean Steiner, Monte Carlo, Poisson Delaunay, Manhattan Voronoi, Moment Symbol Exact, Laguerre Voronoi, Cruz Orive, Minkowski Voronoi, Proof First, United States, Karlsruhe Voronoi, Manhattan-metric Voronoi, Proof Let, Rieman Voronoi New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
On initial consideration the following problems, which concern a variety of phenomena at disparate scales, would appear to have little in common: Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
empirical point pattern, lower common support, locational optimization, additively weighted distance, first nearest point, general quadratic position, largest empty circle problem, binomial point process, constrained programming problem, indexed counterclockwise, quaternary tree, triangulation spanning, hierarchical facility, empty circumcircle criterion, realizable graph, convex distance functions, random tessellation, geometric graph, full neighbours, generator points, hyperplane process, farthest pair, first conditional moments, hard core processes, cell growth model Key Phrases - Capitalized Phrases (CAPs): (learn more)
Poisson Voronoi, Euclidean Steiner, Monte Carlo, Poisson Delaunay, Manhattan Voronoi, Moment Symbol Exact, Laguerre Voronoi, Cruz Orive, Minkowski Voronoi, Proof First, United States, Karlsruhe Voronoi, Manhattan-metric Voronoi, Proof Let, Rieman Voronoi New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
49
books
cite this book:
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- GIS-based Studies in the Humanities and Social Sciences by Atsuyuki Okabe on 4 pages
- Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science) by Joseph O'Rourke on page 349, and Back Matter
- Geographic Information Analysis by David O'Sullivan on page 50, and page 133
- Advances in Spatial Data Handling: 10th International Symposium on Spatial Data Handling by Dianne Richardson on page 40, and page 282
- Algorithms and Computations: 6th International Symposium, ISAAC '95 Cairns, Australia, December 4 - 6, 1995. Proceedings Proceedings. (Lecture Notes in Computer Science) by John Staples on page 391
See all 49 books citing this book
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