Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, June 27, 2006, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Tetsuo Asano (School of Information Science, JAIST (Japan Advanced Institute of Science and Technology)

Angular and Aspect-Ratio Voronoi Diagram with Applications

Given a set of line segments in the plane, we can define an angular Voronoi diagram (and aspect-ratio Voronoi diagram) as follows: a point belongs to a Voronoi region of a line segment if the visual angle of the line segment from the point (aspect ratio of a triangle defined by the point and the line segment) is smallest (largest, resp.) among all line segments. These Voronoi diagrams are different from an ordinary Voronoi diagram for a point set. After introducing interesting properties, we present two efficient algorithms, one for finding a point to maximize the smallest visual angle and the other for computing a point to minimize the largest aspect ratio.

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