Art Gallery Theorems and Algorithms
by Joseph O'Rourke
Publisher: Oxford University Press 1987
ISBN/ASIN: 0195039653
ISBN-13: 9780195039658
Number of pages: 296
Description:
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.
Download or read it online for free here:
Download link
(11MB, PDF)
Similar books
Strange Attractors: Creating Patterns in Chaosby Julien C. Sprott - M & T Books
Chaos and fractals have revolutionized our view of the world. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns.
(21340 views)
A Computational Introduction to Number Theory and Algebraby Victor Shoup - Cambridge University Press
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
(42081 views)
Isabelle/HOL: A Proof Assistant for Higher-Order Logicby T. Nipkow, L.C. Paulson, M. Wenzel - Springer
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
(18103 views)
Algorithmic Algebraby Bhubaneswar Mishra - Courant Institute of Mathematical Sciences
The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra.
(23008 views)