Voronoi diagrams and arrangements
Copyright policy )Voronoi diagrams and arrangements
The authors propose a natural general framework for defining and dealing with diagrams of Voronoi type. An important concept is the notion of an \(f_ E\)-arrangement over a domain D, i.e. the partition of \(D\times {\mathbb{R}}\) induced by a collection \(f_ E\) (indexed by the finite set E) of real valued functions on D. E.g. let f be a real valued function on D, then \(f^+=\{(x,r)\in D\times {\mathbb{R}}| 0
- University of Graz Austria
- Cornell University United States
- Graz University of Technology Austria
- DigiZeitschriften Germany
algorithm, Analysis of algorithms and problem complexity, hyperplane and paraboloid arrangements, computer science, technical report, Article, 004, Voronoi diagram with respect to \(f_ E\)- arrangements, 510.mathematics, Inequalities and extremum problems involving convexity in convex geometry, order-equivalent function collections, Packing and covering in \(n\) dimensions (aspects of discrete geometry), survey
algorithm, Analysis of algorithms and problem complexity, hyperplane and paraboloid arrangements, computer science, technical report, Article, 004, Voronoi diagram with respect to \(f_ E\)- arrangements, 510.mathematics, Inequalities and extremum problems involving convexity in convex geometry, order-equivalent function collections, Packing and covering in \(n\) dimensions (aspects of discrete geometry), survey
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