CAS 749 - Advanced Topics in Computational Geometry




Antoine Deza
Office: ITB 127
Extension: 23750
Office hours: TBA

Course Outline

Computational geometry deals with the design and analysis of algorithms for solving problems arising in discrete geometry, primary in 2 and 3 dimensions. This course provides an introduction to useful frameworks for computational geometry problems in dimension 2, 3 and higher. We introduce the basic concepts of triangulation, Voronoi diagrams, polyhedra, lattices and integer cones, arrangement of hyperplanes and linear programming and illustrate these notions by some examples coming from combinatorial optimization. The course will be relatively self-contained. Reading will be assigned to cover some of the topics.

The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.


Students with disabilities can receive accommodations to assist them in the completion of assignments and exams. Please contact the Centre for Student Development ( for advice and for arranging assistance. Students are also encouraged to talk to the instructor about this issue.


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Academic Dishonesty

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