# MCS 481: Final projects

David Dumas

### About the final project

For the final project in MCS 481, you will research a topic in computational geometry and produce both a

**written report** and a 20-minute

**in-class presentation**.

The written report is due at 2:00pm on the last day of class, Friday, April 29.

### Presentations

Final project presentations will take the place of lectures in the last week of the semester and during the 2-hour final exam period scheduled by the registrar:

Date |
Time |
Presentations |

Mon, Apr 25 |
2-3pm |
Joseph Berner |
Time Complexity of the Minimal Art Gallery Algorithm |

Sara Bishop | Covering and Packing Problems in Computational Geometry |

Wed, Apr 27 |
2-3pm |
David Chen | Triangulating a Simple Polygon |

Tung Hoang | Graph Planarity |

Fri, Apr 29 |
2-3pm |
Min Shen | Linear Programming in higher dimensions |

Justin Martin | Fractional Cascading and its Applications |

Wed, May 4 |
1-3pm |
Samuel Cole | Special Cases of TSP |

Paul Dworzanski | 3D Mesh Generation in CGAL |

Xiangcheng Yu | Matlab Regular Triangulation for 2 and 3 dimensions |

Eric Lacosse | Perceptrons |

Muhammad Adeel | Topological types of real algebraic curves |

### Selecting a topic

If you do not have a topic in mind already, read the list of suggestions below. Once you have identified a topic of interest, do some preliminary reading (in the textbook, other computational geometry references, journal articles, etc.) and develop a more detailed proposal for a project on that topic.

Email a **project proposal** to ddumas@math.uic.edu. Use the subject line

MCS 481 final project proposal

and include:

- A title for your project
- A few sentences describing what you will do, in somewhat more detail than the topic suggestions below
- A description of what you will turn in at the end of the semester

After I review your proposal, I will contact you and either approve the project or suggest revisions.

### General guidelines

Your research should involve more than simply reading in our textbook. Show that you can make use of other resources.

Wikipedia has its uses, but it is *not* an authoritative reference. Your sources should be written by experts and subject to peer review.

Proposals for coding projects will be considered. The final product must still include a written report describing the algorithm(s) you implemented, the design choices you had to make, etc.

### Project suggestions

I have received all of your project proposals. If you still want to see the old list of topic suggestions,

here it is.

### Other resources

Lists of "open" (i.e. unsolved) problems in discrete and computational geometry: