- Series: Discrete Mathematics and Its Applications
- Hardcover: 1008 pages
- Publisher: CRC Press; 1 edition (July 15, 1997)
- Language: English
- ISBN-10: 0849385245
- ISBN-13: 978-0849385247
- Product Dimensions: 2 x 7.5 x 10.5 inches
- Shipping Weight: 4.2 pounds
- Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
- Amazon Best Sellers Rank: #3,940,799 in Books (See Top 100 in Books)
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Handbook of Discrete and Computational Geometry 1st Edition
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Top Customer Reviews
There are a few articles overviewing Voronoi diagrams, such as the one on Voronoi diagrams and triangulations. The applications of Voronoi diagrams are many, and include tumour cell diagnosis, biometry, galaxy distributions, and pattern recognition. This article is a little short considering the importance of the subject.
The article on shortest paths and networks is somewhat disappointing since there is no in-depth discussion on network routing algorithms.
The article on computational topology highlights some of the results in this very important area. Many problems in topology have been tackled recently using computers, particularly the work of the mathematician A.T. Fomenko. Computational topology is a relatively young field, having been in existence only since the early 1990's. The applications are enormous, ranging from meshing, morphing, feature extraction, data compression, and in many scientific areas such as computational medicine, chemistry, and astrophysics. It can also be used in computer security via graphical passwords. It is an immense help in visualizing complicated topological objects, such as Lens spaces, horned spheres, and thickened knots.Read more ›