Module MA5032-KP04, MA5032
Numerical Methods for Image Computing (NumerikBV)
Duration
1 Semester
Turnus of offer
each winter semester
Credit points
4
Course of studies, specific fields and terms:
- Master MES 2020, optional subject, mathematics / natural sciences
- Master Medical Informatics 2019, optional subject, medical image processing
- Master MES 2014, optional subject, mathematics / natural sciences
- Master Medical Informatics 2014, optional subject, medical image processing
- Master MES 2011, optional subject, advanced curriculum imaging systems
- Master Computer Science 2012, optional subject, advanced curriculum numerical image processing
- Master CLS 2010, optional subject, mathematics
Classes and lectures:
- Numerical Methods for Image Computing (exercise, 1 SWS)
- Numerical Methods for Image Computing (lecture, 2 SWS)
Workload:
- 65 hours private studies and exercises
- 45 hours in-classroom work
- 10 hours exam preparation
Contents of teaching:
- Imaging process an imaging modalities
- Grids and image representation
- Image operators and finite differences
- Stationary partial differential equations in image processing
- Image and video compression
- Variation formulation and statistical interpretation
- Correctness and regularisation
Qualification-goals/Competencies:
- The students are familiar with fundamental numerical concepts in image computing.
- They have experience in realizing practical solutions.
- They can implement numerical algorithms on a computer.
- 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:
- Bredies, Lorenz : Mathematische Bildverarbeitung Springer, 2010
- Gonzalez, Woods : Digital Image Processing Prentice Hall, 2007
- Hackbusch : Iterative Lösung großer schwachbesetzter Systeme Teubner, 1993
- Briggs : A Multigrid Tutorial SIAM, 2000
- Nocedal, Wright : Numerical Optimization Springer, 2006
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:
- Preliminary examinations can be determined at the beginning of the semester. If preliminary work has been defined, it must have been completed and positively assessed before the first examination.
Examination:
- MA5032-L1: Numerical Methods for Image Computing, written examination (90min) or oral examination (30min) as decided by examiner, 100% of final mark
Last Updated:
01.10.2025