**CS 633 Computation
Geometry**** **

**Time &
Location **

- Thursdays 4:30 - 7:10 pm
- Robinson Hall B201

**Instructor**: Jyh-Ming Lien

**Office hour**: Tue. 4:00 - 6:00 pm

**Course Scope**

CS633 is an introductory course to
Computational Geometry. Computational Geometry is a study of algorithms and
data structures for geometric objects. One important goal of CS633 is to make you become knowledgeable and comfortable
enough to deal with any geometric problems.

**Prerequisites**

- CS583
or instructor's approval, which means you should know sorting algorithms,
graph algorithms, and basic data structures (lists, trees, graphs), and
know how to design and analyze the complexity of algorithms.
- Working
knowledge of C/C++ for most computational geometry libraries are
implemented in C/C++.

**Required Textbook**

Computational
Geometry: Algorithms and Applications by Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Cheong, third revised edition, Springer-Verlag, 2008. ISBN # 978-3-540-77973-5.

**Grading**

- Assignments 50%: There will
be homework assignments, programming assignments, and paper review
assignments.
- Quizzes/Mid term Exam 15%
- Project presentations
(proposal and final) 15%
- Final project report 20%

**List of Topics**

- Line segment intersection
- Convex hull
- Triangulations
- Proximity problems
- Range searching
- Point location
- Voronoi
Diagrams
- Delaunay Triangulations
- Arrangements and Duality
- Binary space partitions
- Robot Motion planning
- Quadtree/Octree
- Visibility Graph
- Origami Folding

**Policies**

All required assignments should be completed by the stated due
date and time. The total score of your assignment score will be 10 points less
every extra day after the due date (i.e., the 100 total points will become zero
after 10 days pass the due date).

Please note that all coursework is to be done independently.
Plagiarizing the homework will be penalized by maximum negative credit and
cheating on the exam will earn you an F in the course. See the GMU Honor Code
System and Policies at this
page and this
page. You are encouraged to discuss the material BEFORE you do the assignment.
As a part of the interaction you can discuss a meaning of the question or
possible ways of approaching the solution. The homework should be written
strictly by yourself. In case your solution is based
on the important idea of someone else please acknowledge that in your solution,
to avoid any accusations.

The quizze and exams will be a closed book exam - no notes will be
allowed. There will be no makeups for the quizzes and exams.