Last revised on: 09/15/05 3:19 PM
Reading assignments are given according to the main text book.
| Lec# |
Date
|
Topic and/or Event | Reading | Notes |
|
1
|
9/7
|
Class Organization
Schedule Introduction to Computational Geometry |
||
|
2
|
9/9
|
Geometry in one dimension
nearest neighbor Voronoi Diagram and Delaunay Diagram Point location in one dimension |
Chapters 1, Chapter 7 and Chapter 9 Notes by Varangjit Channara | |
|
3
|
9/12
|
Median and Approximate Median
Linear-time Algorithm Quick Selection Sampling |
Hangout 1: Approximating Center Points with Iterative Radon Points, by Clarkson-Eppstein-Miller-Sturtivant-Teng Notes by Chris Selin | |
|
4
|
9/15
|
Evolutionary Iterations:
Approximating Median by repeated middle-of-three operations |
Handout 1 Notes by Camine DiMascio | |
|
5
|
9/20
|
Centerpoints: Extension of median in higher dimensions |
Handout 1
Notes by Kyle Burke |
|
|
6
|
9/22
|
Approximating centerponts: Radon Iterations | Handout 1 | |
|
7
|
9/27
|
Geometric Divide-and-Conquer with Sphere Separators Efficient algorithms for Nearest Neighborhood Problems in arbitrary low dimensions |
Handout 2: Miller-Teng-Thurston-Vavasis Notes by Consantinos Hoppas |
|
|
8
|
9/29
|
Conformal Maps | Handout 2 Notes by David Charlton |
|
|
9
|
10/4
|
Duality on spheres: the proof of the geometric separator theorems. | handout 2 |
|
|
10
|
10/6
| Voronoi Diagram and Delaunay triangulations | Chapter 7 and 9
Notes by Michael Ocean |
|
|
11
|
10/11
|
Randomized Delaunay algorithms in two dimensions: |
Chapters 4, 7, 9 Notes by Gabriel Parmer |
|
|
12
|
10/13
|
Backward analysis | Chapters 4, 7, 9 Notes by Hany Morcos |
|
|
13
|
10/18
| Randomized Linear Programming: More on backward analysis | Chapters 4, 7, 9 Notes by Michael Ocean |
|
|
14
|
10/20
|
Ruppert's Algorithm of Delaunay refinement for Mesh Generation |
Handout 3
Notes by Chris Selin |
|
|
15
|
10/25
|
Sphere-Packing and Delaunay triangulations | handout 3 Notes by Consantinos Hoppas |
|
|
16
|
10/27
|
Geometric Embedding I | handout 4
Notes by Michael Ocean |
|
|
17
|
11/1
|
Geometric Embedding II | Handout 5 Notes by Varangjit Channara |
|
|
18
|
11/3
|
Geometric Embedding III | Handout 6 | |
|
20
|
11/8
|
Geometric Embedding IV | handout 7 | |
|
21
|
11/10
|
Geometric Sampling I | handout 8 | |
|
22
|
11/15
|
Geometric Sampling II | handout 8 Notes by Kyle Burke |
|
|
23
|
11/17
|
Geometric Sampling III | handout 8 Notes by Camine DiMascio |
|
|
24
|
11/22
|
Project Presentation | ||
|
25
|
11/24
|
Thanksgiving | handout 8 | |
|
26
|
11/29
|
Project Presentation | ||
|
27
|
12/1
|
Project Presentation | ||
|
28
|
12/6
|
Project Presentation | ||
|
29
|
12/8
|
Overview -- Computational Geometry: Theory and applications |