Computational Geometry: Methods and Applications
by Jianer Chen
1996
Number of pages: 227
Description:
In this book, we concentrate on four major directions in computational geometry: the construction of convex hulls, proximity problems, searching problems and intersection problems. Computational geometry is of practical importance because Euclidean space of two and three dimensions forms the arena in which real physical objects are arranged. A large number of applications areas such as pattern recognition, computer graphics, image processing, operations research, statistics, computer-aided design, robotics, etc., have been the incubation bed of the discipline since they provide inherently geo metric problems for which efficient algorithms have to be developed. A large number of manufacturing problems involve wire layout, facilities location, cutting-stock and related geometric optimization problems. Solving these efficiently on a high-speed computer requires the development of new geo metrical tools, as well as the application of fast-algorithm techniques, and is not simply a matter of translating well-known theorems into computer programs. From a theoretical standpoint, the complexity of geometric algo rithms is of interest because it sheds new light on the intrinsic difficulty of computation.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
Design and Analysis of Algorithmsby Herbert Edelsbrunner - Duke University
The main topics to be covered in this course are: Design Techniques; Searching; Prioritizing; Graph Algorithms; Topological Algorithms; Geometric Algorithms; NP-completeness. The emphasis will be on algorithm design and on algorithm analysis.
(19674 views)
Purely Functional Data Structuresby Chris Okasaki - Carnegie Mellon University
This book describes data structures from the point of view of functional languages. The author includes both classical data structures, such as red-black trees, and a host of new data structures developed exclusively for functional languages.
(9420 views)
Lecture Notes on Bucket Algorithmsby Luc Devroye - Birkhauser
In these lecture notes, we attempt to explain the connection between the expected time of various bucket algorithms and the distribution of the data. The results are illustrated on standard searching, sorting and selection problems.
(11338 views)
Average Case Analysis of Algorithms on Sequencesby Wojciech Szpankowski - Wiley-Interscience
A book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms.
(12051 views)