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Module guide

Module MA4500-KP05

Mathematical Methods in Image Processing (MMBVKP05)

Duration:


1 Semester
Turnus of offer:


every second winter semester
Credit points:


5
Course of studies, specific field and terms:
  • Bachelor CLS 2023 (optional subject), mathematics, 5th semester
  • Master CLS 2023 (optional subject), mathematics, 1st or 3rd semester
  • Master CLS 2023 (compulsory), mathematics, 1st or 3rd semester
  • Master CLS 2016 (compulsory), mathematics, 1st or 3rd semester
Classes and lectures:
  • Mathematical Methods in Image Processing (exercise, 1 SWS)
  • Mathematical Methods in Image Processing (lecture, 2 SWS)
Workload:
  • 30 Hours work on project
  • 10 Hours exam preparation
  • 45 Hours in-classroom work
  • 65 Hours private studies and exercises
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
Requires:
Responsible for this module:
Teachers:
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 (90min) or oral examination (30min) as decided by examiner, 100% of final mark

Letzte Änderung:
20.1.2022