Module Handbook

  • Dynamischer Default-Fachbereich geändert auf INF

Course INF-18-51-K-6

Computational Topology (2V+2U, 5.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 5.0 CP 94 h
2 V Lecture 28 h
2 U Exercise class (in small groups) 28 h
(2V+2U) 5.0 CP 56 h 94 h

Basedata

SWS 2V+2U
CP, Effort 5.0 CP = 150 h
Position of the semester 1 Sem. in SuSe
Level [6] Master (General)
Language [DE/EN] German or English as required
Lecturers
Area of study [INF-VIS] Visualisation and Scientific Computing
Livecycle-State [NORM] Active

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (ungraded)

Contents

  • theoretical foundations
    • formal defintions
    • graph topology
    • simplicial complexes
  • topological Analysis of Fields
    • contour tree and Reeb graph
    • Morse-Smale complex
    • topology of dynamical systems
    • parameter- and time-dependent topology
  • topological analysis of unstructured data
    • alpha complex
    • topology of point sets
    • persistent homology
  • applications
    • scientific and medical visualization
    • topological techniques for large datasets

Literature

  • H. Edelsbrunner: Computational Topology – An Introduction. American Mathematical Society, 2010, ISBN: 978-0-8218-4925-5
  • A. Zomorodian: Topology for Computing. Cambridge University Press, 2009. ISBN: 978-0521136099

Requirements for attendance (informal)

None

Requirements for attendance (formal)

None

References to Course [INF-18-51-K-6]

Module Name Context
[INF-18-51-M-6] Computational Topology P: Obligatory 2V+2U, 5.0 LP
Course-Pool Name
[INF-VIS_V-KPOOL-6] Lectures of the teaching area Visualization and Scientific Computing