Computational geometry emerged from the field of algorithms design and anal ysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The suc cess of the field 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 in formation systems (GIS), robotics, and others-in which geometric algorithms playafundamental role. For many geometric problems the early algorithmic solutions were either slow or difficult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simplified many of the previous approaches. In this textbook we have tried to make these modem 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.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
249
249 s/w Abbildungen
XII, 367 p. 249 illus.
ISBN-13
978-3-662-04245-8 (9783662042458)
DOI
10.1007/978-3-662-04245-8
Schweitzer Klassifikation
1 Computational Geometry Introduction.- 2 Line Segment Intersection Thematic Map Overlay.- 3 Polygon Triangulation Guarding an Art Gallery.- 4 Linear Programming Manufacturing with Molds.- 5 Orthogonal Range Searching Querying a Database.- 6 Point Location Knowing Where You Are.- 7 Voronoi Diagrams The Post Office Problem.- 8 Arrangements and Duality Supersampling in Ray Tracing.- 9 Delaunay Triangulations Height Interpolation.- 10 More Geometric Data Structures Windowing.- 11 Convex Hulls Mixing Things.- 12 Binary Space Partitions The Painter's Algorithm.- 13 Robot Motion Planning Getting Where You Want to Be.- 14 Quadtrees Non-Uniform Mesh Generation.- 15 Visibility Graphs Finding the Shortest Route.- 16 Simplex Range Searching Windowing Revisited.
