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Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley Series in Probability and Statistics)

5.0 out of 5 stars 3 customer reviews
ISBN-13: 978-0471934301
ISBN-10: 0471934305
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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) --This text refers to an alternate Hardcover edition.

From the Publisher

This unique treatise fills a serious gap in the literature, covering the theory and huge range of applications of spatial tessellations. Central to the book are the differences noted between Voronoi diagrams and Delone tessellations. The authors define and explore the basic properties of the Voronoi diagram, present algorithms for computing these diagrams; and cover Poisson Voronoi diagrams, spatial interpolation, models of spatial processes, point pattern analysis, and locational optimization using Voronoi diagrams. A wide range of applications are discussed from over a dozen different fields.
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Product Details

  • Series: Wiley Series in Probability and Statistics
  • Hardcover: 548 pages
  • Publisher: John Wiley & Sons Ltd (Import) (September 1992)
  • Language: English
  • ISBN-10: 0471934305
  • ISBN-13: 978-0471934301
  • Product Dimensions: 1.5 x 6.2 x 9.2 inches
  • Shipping Weight: 2.2 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #7,521,980 in Books (See Top 100 in Books)

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By J. Carchedi on July 30, 2005
Format: 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.
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Format: Hardcover Verified Purchase
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.
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Format: 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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