Algorithmic Geometry

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Paperback | 4 May 1998

At a Glance

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544 Pages

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24.61 x 18.9 x 2.79

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The design and analysis of geometric algorithms have seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics, medical imaging and CAD. The goals of this book are twofold: first to provide a coherent and systematic treatment of the foundations; secondly to present algorithmic solutions that are amenable to rigorous analysis and are efficient in practical situations. When possible, the algorithms are presented in their most general d-dimensional setting. Specific developments are given for the 2- or 3-dimensional cases when this results in significant improvements. The presentation is confined to Euclidean affine geometry, though the authors indicate whenever the treatment can be extended to curves and surfaces. The prerequisites for using the book are few, which will make it ideal for teaching advanced undergraduate or beginning graduate courses in computational geometry.

Industry Reviews

'The book is well written ... covers a wealth of material, is copiously illustrated, and has a comprehensive bibliography. Especially in view of its modest price, the book would be a welcome addition to the shelves of anyone interested in algorithmic geometry.' Peter McMullen, Bull. London Mathematical Society

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You Can Find This Book In

Non-Fiction Mathematics Geometry Computing & I.T.Computer Programming & Software Development Algorithms & Data Structures Applied Mathematics Mathematical Modelling Computer Science Mathematical Theory of Computation

Preface
Algorithmic Tools
Notions of complexity
Basic data structures
Deterministic methods used in geometry
Random sampling
Randomized algorithms
Dynamic randomized algorithms
Convex Hulls
Polytopes
Incremental convex hulls
Convex hulls in 2 and 3 dimensions
Linear programming
Triangulations
Complexes and triangulations
Triangulations in dimension 2
Triangulations in dimension 3
Arrangements
Arrangements of hyperplanes
Arrangements of line segments in the plane
Arrangements of triangles
Voronoi Diagrams
Euclidean metrics
Non-Euclidean metrics
Diagrams in the plane
References
Notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

Algorithmic Geometry

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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