Course Schedule (tentative)

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