Module MA4500-KP04, MA4500

Mathematical Methods in Image Processing (MatheBildv)


Duration

1 Semester

Turnus of offer

every second 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 Medical Informatics 2014, optional subject, medical image processing
  • Master MES 2014, optional subject, mathematics / natural sciences
  • Master MES 2011, optional subject, mathematics
  • Master Computer Science 2012, optional subject, advanced curriculum imaging systems
  • Master MES 2011, advanced curriculum, imaging systems, signal and image processing
  • Master Computer Science 2012, compulsory, advanced curriculum numerical image processing
  • Master CLS 2010, 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

Contents of teaching:

  • Image processing
  • Digital images
  • Operators in the spatial domain
  • Operators in the Fourier domain
  • Deblurring
  • Total variation
  • Segmentation
  • Level-set methods

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 operators in image processing.
  • They understand fundamental discretization techniques.
  • 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, 2007
  • Russ : The Image Processing Handbook CRC Press, 2011
  • Handels : Medizinische Bildverarbeitung Vieweg+Teubner, 2009

Language:

  • German and English skills required

Notes:

Prerequisites for attending the module:
- None (The competences of the required modules are required for this module, but the modules are not a prerequisite for admission).

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 initial examination.

Last Updated:

09.05.2022