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Differential Equations in Image Processing and Computer Vision

Winter Term 2023

Differential Equations in Image Processing and Computer Vision

Differential Equations in Image Processing and Computer Vision

Four Teaching Awards (3 in Computer Science, 1 in Mathematics)

Lecturer: Dr. Pascal Peter
Office hour: Tuesday 13:30-14:30 (with Appointment)

Coordinator of Tutorials: Michael Ertel
Office hour: Tuesday 10:00-12:00 (with Appointment)

Winter Term 2023

Lecture and Tutorial times:

Tuesday 8:30-10 s.t., Building E1.3, HS001 and online
Friday 14-16, Building E1.3, HS001 and online
First Lecture: 24.10.2023

Slot 1: Tuesday 12-14 c.t.
Slot 2: Tuesday 14-16 c.t.

First Tutorial: 31.10.2023

AnnouncementsDescriptionEntrance requirementsTutorialsExams
Lecture notes/AssignmentsReferences

For detailed information at a glance, consult our welcome flyer.

Access to Teams and lecture materials will be granted after your registration in the CMS: https://cms.sic.saarland/dic23

Synopsis: 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.

Since this class guides its participants to many research topics in our group, its attendance is required for everyone who wishes to pursue a master thesis in our group.

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.

Weekly theoretical and programming assignments will be complemented by classroom work designed for group work. You are encouraged to connect with your fellow students and solve the problems together. The teaching staff will be available to assist you and check your solutions. For all assignments, a written solution will also offered online. More details on the tutorials and admission requirements will be published here later.

If you have questions concerning the tutorials, please do not hesitate to contact Michael Ertel.

There will be two closed book written exams:

The first written exam will take place on 19.02.2024 from 2:00 to 5:00 pm in Building E2.2, Günter Hotz Lecture Theatre.
The second written exam will take place on 08.04.2024 from 2:00 to 5:00 pm in Building E2.2, Günter Hotz Lecture Theatre.

You can find the detailed rules for our exams in the self test assignment in the CMS file repository.
You can participate in both exams, and the better grades counts. Please remember that you have to register online for the exam in the HISPOS system of the Saarland University.

If you cannot attend the exam, contact Michael Ertel as early as possible. In case you have proof that you cannot take part for medical reasons or you have another exam on the same day, we can offer you an oral exam as a replacement. Note that we need written proof (e.g. a certificate from a physician/Krankenschein) for the exact date of the exam.

Lecture notes / Assignments

Lecture content in form slides and assignments are available for download online. Access will be granted after registration. In addition, we will provide pre-recoreded lecture videos. Note that the initial registration requires manual confirmation and can thus be delayed a bit.

The assignments and the source code needed for the programming assignments will be provided here during the semester.

There is no specific text book for this class, but many of our image processing topics are covered in one of the following books:

  • J. Bigun: Vision with Direction. Springer, Berlin, 2010.
  • R. C. Gonzalez, R. E. Woods: Digital Image Processing. Addison-Wesley, International Edition, 2017.
  • K. D. Tönnies: Grundlagen der Bildverarbeitung. Pearson Studium, München, 2005.

Computer vision books include

These and further books can be found in the mathematics and computer science library.
Furthermore, there is an interesting online compendium, where many researchers have written survey articles.
If you are looking for a specific reference, check out the Annotated Computer Vision Bibliography.
Many highly cited articles can be found via the Google Scholar webpage.

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