Module MA4500-KP05
Mathematical Methods of Image Processing (MBVKP05)
Duration
1 Semester
Turnus of offer
every second winter semester
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2016, compulsory, mathematics
Classes and lectures:
- Mathematics in Image Processing (exercise, 1 SWS)
- Mathematics in Image Processing (lecture, 2 SWS)
Workload:
- 65 hours private studies and exercises
- 45 hours in-classroom work
- 10 hours exam preparation
- 30 hours work on project
Contents of teaching:
- Functional-analytic models
- Well-posedness and regularization
- Introduction to calculus of variations, Euler-Lagrange equation
- Image restauration
- Segmentation and lifting methods
- Evolution equations in image processing (discretization, stability)
Qualification-goals/Competencies:
- Students have a solid mathematical understanding of typical image processing methods.
- They can compare and assess typical mathematical image processing methods.
- They can derive typical mathematical methods for image processing.
- They understand fundamental discretization techniques and their numerical analysis.
- They understand typical numerical methods for image processing.
- They are able to implement fundamental numerical methods for image processing.
- Interdisciplinary qualifications:
- Students have advanced skills in modeling.
- They can translate theoretical concepts into practical solutions.
- They are experienced in implementation.
- They can think abstractly about practical problems.
Grading through:
- Written or oral exam as announced by the examiner
Responsible for this module:
Literature:
- Gonzales/Woods : Digital Image Processing Prentice Hall
- Russ : The Image Processing Handbook CRC Press
- Handels : Medizinische Bildverarbeitung Vieweg+Teubner
Language:
- German and English skills required
Notes:
Prerequisites for attending the module:- None (Familiarity with the topics of the required modules is assumed, but the modules are not a formal prerequisite for attending the course).
Prerequisites for the exam:
- Homework assignments and their presentation are ungraded examination prerequisites which have to be completed and positively evaluated before the first examination.
Examination:
- MA4500-L1: Mathematical Methods in Image Processing, written examination (90 min) or oral examination (30 min) as decided by examiner, 100% of final mark
Last Updated:
09.05.2022