Speaker: Tom Gur, 26.4.10 Seminar on Voronoi Diagrams and Delaunay Triangulations Material: [AK]...

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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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Transcript of Speaker: Tom Gur, 26.4.10 Seminar on Voronoi Diagrams and Delaunay Triangulations Material: [AK]...

Page 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.

Speaker: Tom Gur, 26.4.10

Seminar on Voronoi Diagrams and Delaunay TriangulationsMaterial: [AK] Sections 3.4, 4.1, 4.2, 4.3.1

Page 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.

Speaker: Tom Gur, 26.4.10

Seminar on Voronoi Diagrams and Delaunay TriangulationsMaterial: [AK] Sections 3.4, 4.1, 4.2, 4.3.1

Page 3: 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.

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

Page 4: 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.

Preliminaries

Page 5: 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.

Sweep Algorithm

Page 6: 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.

Sweep Algorithm

Page 7: 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.

Characterization of Voronoi diagrams

Page 8: 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.

Characterization of Voronoi diagrams

Page 9: 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.

Optimization properties of Delaunay triangulations

Page 10: 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.

Optimization properties of Delaunay Triangulations

Page 11: 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.

Delaunay Triangulations in 3-space

Page 12: 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.

Voronoi Diagrams in 3-space

Page 13: 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.

Voronoi Diagrams in 3-space

Page 14: 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.

Voronoi Diagrams in 3-space

Page 15: 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.

Voronoi Diagrams in 3-space

Page 16: 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.

Edge-flip in 3-space


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