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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 on theme: "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."— Presentation transcript:

1 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

2 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

3 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

4 Preliminaries

5 Sweep Algorithm

6

7 Characterization of Voronoi diagrams

8

9 Optimization properties of Delaunay triangulations

10 Optimization properties of Delaunay Triangulations

11 Delaunay Triangulations in 3-space

12 Voronoi Diagrams in 3-space

13

14

15

16 Edge-flip in 3-space

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