Mark de Berg: Computational Geometry

Cover: 9783642096815 | Computational Geometry | Algorithms and Applications | Berg (u. a.)

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Sprache: Englisch

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Beschreibung

Computational geometry emerged from the ?eld of algorithms design and analysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The success of the ?eld as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains¿computer graphics, geographic information systems (GIS), robotics, and others¿in which geometric algorithms play a fundamental role. For many geometric problems the early algorithmic solutions were either slow or dif?cult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simpli?ed many of the previous approaches. In this textbook we have tried to make these modern algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry,but it can also be used for self-study.

Zusammenfassung

A broad overview of the major algorithms and data structures of the field
Motivated from applications
Covers concepts and techniquesto be presented in any course on computational geometry
Self-contained and illustrated with 370 figures
Additional online material available under [...]
Besides revisions to the second edition, new sections discussing Voronoi diagrams of line segments, farthest-point Voronoi diagrams, and realistic input models have been added

Inhaltsverzeichnis

Computational Geometry: Introduction.- Line Segment Intersection: Thematic Map Overlay.- Polygon Triangulation: Guarding an Art Gallery.- Linear Programming: Manufacturing with Molds.- Orthogonal Range Searching: Querying a Database.- Point Location: Knowing Where You Are.- Voronoi Diagrams: The Post Office Problem.- Arrangements and Duality: Supersampling in Ray Tracing.- Delaunay Triangulations: Height Interpolation.- More Geometric Data Structures: Windowing.- Convex Hulls: Mixing Things.- Binary Space Partitions: The Painter's Algorithm.- Robot Motion Planning: Getting Where You Want to Be.- Quadtrees: Non-Uniform Mesh Generation.- Visibility Graphs: Finding the Shortest Route.- Simplex Range Searching: Windowing Revisited.- Bibliography.- Index.

Erscheinungsjahr:	2010
Genre:	Informatik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 386 S. 370 s/w Illustr. 386 p. 370 illus.
ISBN-13:	9783642096815
ISBN-10:	3642096816
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	de Berg, Mark Overmars, Mark Kreveld, Marc Van Cheong, Otfried
Auflage:	3rd ed. 2008
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Maße:	242 x 193 x 22 mm
Von/Mit:	Mark de Berg (u. a.)
Erscheinungsdatum:	19.10.2010
Gewicht:	0,774 kg

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