CS 763: Computational Geometry, Fall 2022


Anna Lubiw, David R. Cheriton School of Computer Science, University of Waterloo
alubiw@uwaterloo.ca, DC 2334, (519) 888-4567, ext. 34449)

Contents: Organization, Course Outline, Assignments, Resources, Lectures, Project



Time and Place: Classes are scheduled for Monday and Wednesday 9:30-10:50 AM, DC 2568. Classes will be given live in zoom. The first class is Wednesday September 7.
Office Hours: Tuesdays 1-2 pm and Thursdays 3-4 pm in zoom (same link as the lectures). The times may be revised as the term progresses.



Assignments will be marked based on correctness but also on quality of explanations: strive for clarity and precision.

Collaboration policy: The work you hand in must be your own. The value of the assignment is in doing it yourself. Acknowledge any sources (human or non-human) you have used. You may discuss the assignment questions verbally with others, but you should come away from these discussions with no written or electronic records and you must acknowledge the discussion. If you use an electronic source or a research article, again, read it, then close it, then compose your solution and acknowledge your source. Write your solutions in your own words, from your own head. Any assistance received (from human or nonhuman sources) that is not given proper citation may be considered a violation of the university policies.

Assignments should be handed in as pdf in email. You may scan handwritten solutions but please make sure they are easy to read.
Assignment 1 pdf tex Tuesday Sept. 20 Wednesday Sept. 21
Assignment 2 pdf tex Wednesday Oct. 5
Assignment 3 pdf tex Wednesday Oct. 19
Assignment 3 pdf tex Wednesday Oct. 19
Assignment 4 pdf tex Wednesday Nov. 2
Assignment 5 pdf tex Wednesday Nov. 23 (a week later if your presentation is Nov. 21 or 23)

Course Outline


Background: I will assume a background in algorithms and data structures equivalent to a decent undergraduate course (e.g. UW's CS 341).

Books and Notes

Finding Papers

Web Resources


For each lecture, I will post the slides/lecture notes from class in two versions -- the "final" version includes the notes added in the class.
Note that you may need to use a pdf viewer to use the links in the slides.
L01 W Sep 7 final slides Every polygon can be triangulated. The Art Gallery Theorem.
L02 M Sep 12 final slides O(n log n) time triangulation algorithm via trapezoidization and plane sweep.
L03 W Sep 14 final slides Partitioning polygons (We'll do polyhedra next time.).
L04 M Sep 19 final slides Partitioning Polyhedra and Convex Hulls in the Plane
L05 W Sep 21 final slides More on Convex Hulls
L06 M Sep 26 final slides Convex Hull in 3D and Beyond
L07 W Sep 28 final slides Linear Programming
L08 M Oct 3 final slides Planar Point Location and Range Searching
L09 W Oct 5 final slides Voronoi diagrams
L10 M Oct 17 final slides Voronoi diagrams, continued.
L11 W Oct 19 final slides Delaunay Triangulations, continued.
L12 M Oct 24 final slides Triangulations
L13 W Oct 26 final slides Triangulations, continued
L14 M Oct 31 final slides Arrangements
L15 W Nov 2 final slides Arrangements, continued
L16 M Nov 7 final slides Shortest Paths
L17 W Nov 9 final slides Motion Planning
L18 M Nov 14 final slides Curves, Trajectories, Frechet distance
L19 W Nov 16 final slides Spanners, Routing, Networks

University Policies (University required text)

Academic Integrity: In order to maintain a culture of academic integrity, members of the University of Waterloo community are expected to promote honesty, trust, fairness, respect and responsibility.
[Check www.uwaterloo.ca/academicintegrity for more information. ]

Grievance: A student who believes that a decision affecting some aspect of his/her university life has been unfair or unreasonable may have grounds for initiating a grievance. Read Policy 70 - Student Petitions and Grievances, Section 4. When in doubt please be certain to contact the department's administrative assistant who will provide further assistance.

Discipline: A student is expected to know what constitutes academic integrity to avoid committing academic offenses, and to take responsibility for his/her actions. A student who is unsure whether an action constitutes an offense, or who needs help in learning how to avoid offenses (e.g., plagiarism, cheating) or about “rules” for group work/collaboration should seek guidance from the course professor, academic advisor, or the Undergraduate Associate Dean. When misconduct has been found to have occurred, disciplinary penalties will be imposed under Policy 71 – Student Discipline. For information on categories of offenses and types of penalties, students should refer to Policy 71 - Student Discipline. For typical penalties check Guidelines for the Assessment of Penalties.

Appeals: A decision made or penalty imposed under Policy 70, Student Petitions and Grievances (other than a petition) or Policy 71, Student Discipline may be appealed if there is a ground. A student who believes he/she has a ground for an appeal should refer to Policy 72, Student Appeals.

Intellectual Property: Students should be aware that this course contains the intellectual property of their instructor, TA, and/or the University of Waterloo. Intellectual property includes items such as:

Course materials and the intellectual property contained therein, are used to enhance a student's educational experience. However, sharing this intellectual property without the intellectual property owner's permission is a violation of intellectual property rights. For this reason, it is necessary to ask the instructor, TA and/or the University of Waterloo for permission before uploading and sharing the intellectual property of others online (e.g., to an online repository). Permission from an instructor, TA or the University is also necessary before sharing the intellectual property of others from completed courses with students taking the same/similar courses in subsequent terms/years. In many cases, instructors might be happy to allow distribution of certain materials. However, doing so without expressed permission is considered a violation of intellectual property rights.

Please alert the instructor if you become aware of intellectual property belonging to others (past or present) circulating, either through the student body or online. The intellectual property rights owner deserves to know (and may have already given their consent).

Note for Students with Disabilities: The AccessAbility office, located in Needles Hall Room 1401, collaborates with all academic departments to arrange appropriate accommodations for students with disabilities without compromising the academic integrity of the curriculum. If you require academic accommodations to lessen the impact of your disability, please register with AccessAbility Services at the beginning of each academic term.