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Module guide

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 field and terms:
  • Master MES 2020 (optional subject), mathematics / natural sciences, arbitrary semester
  • Master Medical Informatics 2019 (optional subject), medical image processing, 1st or 2nd semester
  • Master Medical Informatics 2014 (optional subject), medical image processing, 1st or 2nd semester
  • Master MES 2014 (optional subject), mathematics / natural sciences, 1st or 3rd semester
  • Master MES 2011 (optional subject), mathematics, 1st or 3rd semester
  • Master Computer Science 2012 (optional subject), advanced curriculum imaging systems, 2nd or 3rd semester
  • Master MES 2011 (advanced curriculum), imaging systems, signal and image processing, 1st or 3rd semester
  • Master Computer Science 2012 (compulsory), advanced curriculum numerical image processing, 2nd or 3rd semester
Classes and lectures:
  • Mathematical Methods in Image Processing (exercise, 1 SWS)
  • Mathematical Methods in Image Processing (lecture, 2 SWS)
Workload:
  • 10 Hours exam preparation
  • 45 Hours in-classroom work
  • 65 Hours private studies and exercises
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
Is requisite for:
Requires:
Responsible for this module:
Teachers:
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.

Letzte Änderung:
15.11.2019