COMP 7922 - Fall 2018

COMP 7922 - Computational Geometry

COMP 7922: A graduate course in computational geometry: the design and analysis of efficient algorithms for geometric problems.

instructor: Steph Durocher
office hour: Tuesday at 10:30 am in EITC E2-412.

lectures: Tuesday and Thursday 11:30 am to 12:45 pm in EITC E2-164.

This calendar lists course-related events for COMP 7922:


Students are expected to have a strong background in theoretical computer science (e.g., A or A+ in COMP 3170). Students will be required to complete a mandatory quiz during the first week of classes to help determine whether they possess the required background. Quiz marks will not count towards course grades, but students are required to pass the quiz to continue in the course. There is no need to study any specific material before the quiz.

The formal course requirements are:

  • an upper-level undergraduate course in algorithms analysis and data structures such as COMP 3170
  • a course in discrete mathematics such as COMP 2130


Computational Geometry: Algorithms and Applications, third edition by de Berg, Cheong, van Kreveld, and Overmars, Springer-Verlag 2008.

The textbook is available from the University of Manitoba bookstore.

Another helpful reference is:
Discrete and Computational Geometry by Devadoss and O'Rourke, Princeton University Press 2011.

A useful reference for reviewing prerequisite material is:
Introduction to Algorithms, third edition, by Cormen, Leiserson, Rivest, and Stein, MIT Press 2009. (umanitoba ebook link)

Topics Covered

Topics will include a subset of:
  • convex hulls
  • point location
  • Voronoi diagrams and Delaunay triangulations
  • range searching
  • geometric intersection
  • kinetic data structures
  • arrangements of lines and circles
  • unit disc graphs and proximity graphs
  • smallest enclosing discs, width, and diameter
  • facility location
  • guarding, art galleries, and visibility graphs
  • geometric packing and covering
  • point-line duality
See this course outline for a more detailed course description.


The project presentation schedule is available.

last updated November 27, 2018

Important Dates

Nov 29-Dec 6project presentations
Dec 7assignment 4 due
Dec 7project/review report due
Dec 7classes end
Dec 11final exam