Welcome to the homepage of the lecture
Differential Equations in
Winter Term 2018 / 2019
Differential Equations in Image Processing and Computer Vision
Three Computer Science Teaching Awards (Summer Terms 2003 and 2006, Winter Term 2015)
Lectures (4h) with theoretical exercises (2h)
05.04.19: The results for the second exam are online
15.02.19: The results for the first exam are online
04.02.19: The list of admitted students for the written exams is online
29.10.18: Tutorials for this week are shifted due to a public holiday.
23.10.18: Registration is closed.
16.10.18: Registration is open.
13.08.18: Website is online.
Many modern techniques in image processing and computer vision make
use of methods based on partial differential equations (PDEs) and
variational calculus. Moreover, many classical methods may be
reinterpreted as approximations of PDE-based techniques. In this
course we will get an in-depth insight into these methods.
For each of these techniques, we will discuss the basic ideas
as well as theoretical and algorithmic aspects. Examples from
the fields of medical imaging and computer aided quality control
illustrate the various application possibilities.
Equally suited for students of visual computing, mathematics and computer science. Requires undergraduate knowledge in mathematics (e.g. ''Mathematik für Informatiker I-III''). Knowledge in image processing or differential equations is useful, but not required. The lectures will be given in English.
The tutorials include homework assignments (theory and programming) as well as classroom assignments. The programming assignments give an intuition about the way how image processing and computer vision algorithms work, while the theoretical assigments provide additional mathematical insights. Classroom assignments are supposed to be easier and should guide you gently to the main themes.
For the homework assignments you can obtain up to 24 points per week.
Actively participating in the classroom assignments gives you 12 more
points per week, regardless of the correctness of your solutions.
To qualify for both exams you need 2/3 of all possible points.
For 13 weeks, this comes down to 13 x 24 = 312 points.
Working in groups of up to 3 people is permitted, but all persons must be
in the same tutorial group.
If you miss a tutorial because you are sick, you can still get the points
for participation, if you bring a doctor's certificate.
If you have questions concerning the tutorials, please do not hesitate
The tutorial group can be reached via the mail addresses:
Due to a public holiday, the tutorials on November 1 have been moved to October 31. You can visit one of the two replacement tutorials:
You can attend any of the two tutorials and attendance is not mandatory.
Registration is now closed. You can still check in which group you are via web form.
There will be two written exams. The first one will be at the beginning and the second one at the end of the semester break.
The first written exam will take place on
The second written exam will take place on
In order to qualify for the exams you need a total amount of 2/3 of all
possible points from the homework and classroom assignments.
In case of qualification, you are allowed to take part in both exams.
The better grade counts, but each exam will count as an attempt
Please check here whether you are admitted to the written exam. Additionally, you have to be registered for the exam in the HISPOS system. If you think that there is an error, please contact Aaron Wewior as soon as possible.
The exams will be closed book. These are the rules during the exams:
Each student who has participated in the first written exam has the opportunity to inspect his/her graded solutions in room 4.10 in Bldg. E1.7 on Wednesday, February 20, 2018, from 11:00 a.m. to noon.
Each student who has participated in the second written exam has the opportunity to inspect his/her graded solutions in room 4.10 in Bldg. E1.7 on Tuesday, April 9, 2019, from 2:00 p.m. to 3:00 p.m.
Course material will be made available on this webpage in order to
support the classroom teaching and the tutorials, not to replace
them. Additional organisational information, examples and explanations
that may be relevant for your understanding and the exam are provided
in the lectures and tutorials. It is solely your responsibility
- not ours - to make sure that you receive this infomation.
Here you can download a self-test problem sheet, that contains 6 problems, which are intended to be similar in style and difficulty to a 180-minutes written exam.
Here you can download the material for the programming assignments:
Sample solutions are only available during the semester.