CS 633 Computation Geometry

Course Webpage

Time & Location

• Wed. 4:30 - 7:10 pm
• Robinson Hall B201

Instructor: Jyh-Ming Lien
Office hour: Thur. 4 - 6 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, 2000. ISBN # 3-540-65620-0.

Grading

1. Assignments 50%: There will be homework assignments, programming assignments, and paper review assignments.
2. Quizzes/Mid term Exam 20%
3. Project presentations (proposal and final) 15%
4. Final project report 15%
5. Bonus: Contests, seminar presentations, etc

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

Policies

All required assignments should be completed by the stated due date and time. The total score of your assignment score will be 20 points less every extra day after the due date (i.e., the 100 total points will become zero after 5 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 quiz and exam will be a closed book exam - no notes will be allowed.