NDAK10009U Computational Geometry (CG)
MSc Programme in Computer Science
MSc Programme in Bioinformatics
The purpose of this course is to introduce the students to the
methods for solving problems where geometrical properties are of
particular importance. We will look at some basic problems; at
algorithmic paradigms especially suited to solve such problems, and
at geometric data structures. We will also look at the applications
of computational geometry in relation to the problems of molecular
biology in particular. No a priori knowledge of molecular biology
is required. During the course, the students will be asked to make
a project proposal (7.5 or 15 ETCS) which they will have the
opportunity to work on in the following block.
Computational Geometry is concerned with the design and analysis of algorithms and heuristics, exploiting the geometrical aspects of underlying problems (i.e., routing problems, network design, localization problems and intersection problems).
Applications can be found in VLSI-design, pattern recognition, image processing, operations research, statistics and molecular biology.
- Convex hulls and algorithms for their determination.
- Polygon triangulations and algorithms for their determination.
- Selected range search methods.
- Selected point location methods.
- Voronoi diagrams and Delaunay triangulations and algorithms for their determination.
- Selected algorithms for robot motion and visibility problems.
- Geometric paradigms (e.g., plane sweep, fractional cascading, prune-and-search).
- Describe, implement and use selected basic algorithms for solving geometric problems (e.g., convex hulls, localization, searching, visibility graphs).
- Apply geometric paradigms (e.g., plane sweep, fractional cascading, prune and search) and data structures (e.g., Voronoi diagrams, Delaunay triangulations, visibility graphs) to solve geometric problems.
- Present a scientific paper where computational geometry plays a crucial role.
- Read computational geometry papers in scientific journals.
- Evaluate which methods are best suited for solving problems involving geometrical properties.
See Absalon when the course is set up.
- 7,5 ECTS
- Type of assessment
- Oral examination, 20 minutesOral examination without preparation.
- Exam registration requirements
Seminar presentation and solution of what is corresponding to 3 out of 6 assignments.
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
Same as ordinary exam.
3 out of 6 assignments must be handed in and approved no later than two weeks prior to re-exam date.
Criteria for exam assesment
See Learning Outcome.
- Theory exercises