Euclidean Shortest Paths

Exact or Approximate Algorithms
2011
ISBN: 978-1-4471-2255-5
Verlag: Springer

Buch, Englisch, 378 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 758 g

This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical and programming exercises at the end of each chapter; presents a thorough introduction to shortest paths in Euclidean geometry, and the class of algorithms called rubberband algorithms; discusses algorithms for calculating exact or approximate ESPs in the plane; examines the shortest paths on 3D surfaces, in simple polyhedrons and in cube-curves; describes the application of rubberband algorithms for solving art gallery problems, including the safari, zookeeper, watchman, and touring polygons route problems; includes lists of symbols and abbreviations, in addition to other appendices.

Zielgruppe

Research

Autoren/Hrsg.

Klette, Reinhard

Li, Fajie

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik

Inhaltsverzeichnis

Part I: Discrete or Continuous Shortest Paths.- Euclidean Shortest Paths.- Deltas and Epsilons.- Rubberband Algorithms.- Part II: Paths in the Plane.- Convex Hulls in the Plane.- Partitioning a Polygon or the Plane.- Approximate ESP Algorithms.- Part III: Paths in Three-Dimensional Space.- Paths on Surfaces.- Paths in Simple Polyhedrons.- Paths in Cube Curves.- Part IV: Art Galleries.- Touring Polygons.- Watchman Route.- Safari and Zookeeper Problems.

Über Autor(innen)

Dr. Fajie Li is at Huaqiao University, Xiamen, Fujian, China.

Prof. Dr. Reinhard Klette is at the Tamaki Innovation Campus of The University of Auckland.