Speaker: Tom Gur, 26.4.10 Seminar on Voronoi Diagrams and Delaunay Triangulations Material: [AK] Sections 3.4, 4.1, 4.2, 4.3.1.

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Presentation transcript:

Speaker: Tom Gur, Seminar on Voronoi Diagrams and Delaunay Triangulations Material: [AK] Sections 3.4, 4.1, 4.2, 4.3.1

Speaker: Tom Gur, Seminar on Voronoi Diagrams and Delaunay Triangulations Material: [AK] Sections 3.4, 4.1, 4.2, 4.3.1

What we are going to talk about ? Sweep algorithm (Fortune's algorithm) Characterization of Voronoi diagrams Optimization properties of Delaunay triangulations Voronoi diagrams and Delaunay triangulations in 3-space

Preliminaries

Sweep Algorithm

Characterization of Voronoi diagrams

Optimization properties of Delaunay triangulations

Optimization properties of Delaunay Triangulations

Delaunay Triangulations in 3-space

Voronoi Diagrams in 3-space

Edge-flip in 3-space