Hybrid Systems: Computation and Control: 5th International

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Language: English

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Geometric Fundamentals: Models of computation, lower bound techniques, geometric primitives, geometric transforms Convex hulls: Planar convex hulls, higher dimensional convex hulls, randomized, output-sensitive, and dynamic algorithms, applications of convex hull, Intersection detection: segment intersection, line sweep, map overlay, halfspace intersection, polyhedra intersection, Geometric searching: segment, interval, and priority-search trees, point location, persistent data structure, fractional cascading, range searching, nearest-neighbor searching Proximity problems: closest pair, Voronoi diagram, Delaunay triangulation and their subgraphs, spanners, well separated pair decomposition Arrangements: Arrangements of lines and hyperplanes, sweep-line and incremental algorithms, lower envelopes, levels, and zones, applications of arrangementsTriangulations: monotone and simple polygon triangulations, point-set triangulations, optimization criteria, Steiner triangulation, Delaunay refinementGeometric sampling: random sampling and ε-nets, ε-approximation and discrepancy, cuttings, coresetsGeometric optimization: linear programming, LP-type problems, parametric searching, approximation techniques.

Pages: 480

Publisher: Springer; 2002 edition (June 2, 2010)

ISBN: 354043321X

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