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Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas

## About book:

## About file:

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- Series:
**Mathematical Surveys and Monographs 173** - Author:
**Sariel Har-peled** - Year:
**2011** - Publisher:
**American Mathematical Society** - Language:
**English** - ISBN:
**0821849115,978-0-8218-4911-8**

- File size:
**2 431 494** - Format:
**pdf**

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This book constitutes the joint refereed proceedings of the 12th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2009, and the 13th International Workshop on Randomization and Computation, RANDOM 2009, he...

This book constitutes the joint refereed proceedings of the 13th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2010, and the 14th International Workshop on Randomization and Computation, RANDOM 2010, he...

The Euclidean shortest path (ESP) problem asks the question: what is the path of minimum length connecting two points in a 2- or 3-dimensional space? Variants of this industrially-significant computational geometry problem also require the path to pass th...

We are pleased to present the proceedings of the Second Workshop on Al- rithms in Bioinformatics (WABI 2002), which took place on September 17-21, 2002 in Rome, Italy. The WABI workshop was part of a three-conference me- ing, which, in addition to WABI, i...

How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results in this comprehensive look at the mathematics of folding. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane ...

The 33rd International Conference â€śWorkshop on Graph-Theoretic Concepts in Computer Scienceâ€ť (WG 2007) took place in the Conference Center in old castleinDornburgnearJena,Germany,June21â€“23,2007.Theapproximately80 participants came from various countries a...

This book presents the recent development of stochastic approximation algorithms with expanding truncations based on the TS (trajectory-subsequence) method, a newly developed method for convergence analysis. This approach is so powerful that conditions us...

This book constitutes the refereed proceedings of the 21st International Symposium on Algorithms and Computation, ISAAC 2010, held in Jeju, South Korea in December 2010. The 77 revised full papers presented were carefully reviewed and selected from 182 su...

This book constitutes the refereed proceedings of the 6th International Workshop on Algorithms and Computation, WALCOM 2012, held in Dhaka, Bangladesh, in February 2012. The 20 full papers presented together with 3 invited papers were carefully reviewed a...

In "The Politics of Fortune", Jeffrey E Garten poses two questions: What is the emerging shape of the world in the wake of both the September 11 terrorist attacks and the corporate scandals that began with Enron? What role should business leaders play in ...

This book argues that although labour market needs have been an important element in the development of immigration policy, they have been filtered through a political process, the politics of immigration. The book explores the relation between policy and...