CSC274b
Spring 1998
Ileana Streinu

Final Project

Friday, March 27, 1998

Requirements

The project work has three components:
  1. Reading and understanding of a Computational Geometry problem.
  2. Bibliography search.
  3. Contribution.
The final presentation has at least the first two components from the list below:
  1. An oral presentation: in class, last week of classes.
  2. A written presentation: an HTML page.
  3. Other: Java applet, model, etc. (if applicable: see below).

Project Topics

You can choose one of the following, or suggest another topic - in which case you have to come up with a coherent plan of what you want to do, including a bibliographic starting point (book chapter, paper). The references are to books on reserve in the Science Library. Abbreviations: The papers and other materials (such as a short proof from a book) will be handed in by Ileana, if you choose that topic.
Nr
Topic
Reference
Contribution
Student
1
Art Gallery Theorems for Orthogonal polygons
JOR + bibliography search problems for orthogonal objects
2
Art Gallery Theorems for Special Shape Polygons: star, monotone, etc.
JOR + bibliography search problems for special shapes
3
Art Gallery Theorems for polygons with holes
paper of Bjorling-Sachs + Souvaine + bibliography search problem: conditions for 3 coloring of a polygon with one hole (k holes); bibliography search.
4
Geometric Data Structures: interval trees, segment trees, range trees.
MMMO Ch. 10 Windowing, with a bit of Ch. 5 for Range trees. Bibliography search minimal. Understanding of material: quite a lot!
5
Binary Space Partitions: applic. to Computer Graphics, Painter Algorithm.
MMMO Ch 12. Bibl. search minimal. Understanding of material: quite a lot!
Mike
6
Robot Motion Planning and Visibility Graphs.
MMMO Ch. 13 and 15. Java implementation of "naive" algorithm for computing vis. graphs.
Philip
7
Planar graphs: straight line embeddings.
Handout (2 pages from a book by Giblin), paper of de Fraysseyx, Pach and Pollack and bibl. search (graph drawing bibliography). Understanding of material: quite a lot! Bibliography search.

8
Art Gallery Theorems in 3d
JOR Physical and computer models (Mathematica?) of the two main polyhedra in the book illustrating the issues.
Jessie
9
Your topic, if related to a current project, or of particular interest for you.
Your references. Can start from GO, for instance. To be discussed thoroughly with Ileana
Octavia
Robot Arm Motion

Nikhil
Reversing linkages

Irena
Stabbing information for a polygon

Expected Work

  1. Reading and understanding of material. The presentation should include:
  2. Bibliography search.
  3. Contribution:
    Acceptable contributions are:

Last modified March 26, 1998.