Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-62-17-K-7

Image Analysis for Stochastic Structures (2V+2U, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 4.5 CP 79 h
2 V Lecture 28 h
2 U Exercise class (in small groups) 28 h
(2V+2U) 4.5 CP 56 h 79 h


CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
+ further Lecturers of the department Mathematics
Area of study [MAT-STO] Stochastics/Statistics/Financial Mathematics
Additional informations
Livecycle-State [NORM] Active


Processing and statistical analysis of three-dimensional image data, in particular:
  • Random closed sets and their characteristics,
  • Discretisation and three-dimensional context,
  • Mathematical morphology,
  • Methods of image processing: filtering, segmentation, Euclidean distance transformation, labeling,watershed transformation,
  • Estimates of geometrical characteristics for random closed sets of image data.


  • D. Stoyan, W.S. Kendall, J. Mecke: Stochastic Geometry and its Applications,
  • R. Schneider, W. Weil: Stochastic and Integral Geometry,
  • J. Ohser, K. Schladitz: 3D Images of Materials Structures: Processing and Analysis.


Further literature will be announced in the lecture(s); exercise material is provided.


Registration for the exercise classes via the online administration system URM (

Requirements for attendance (informal)

More advanced knowledge in Stochastics (e.g. from the courses [MAT-60-12-K-4] or [MAT-60-11-K-4]) is useful but not necessarily required.


Requirements for attendance (formal)


References to Course [MAT-62-17-K-7]

Module Name Context
[MAT-62-17-M-7] Image Analysis for Stochastic Structures P: Obligatory 2V+2U, 4.5 LP