Inverse Problems (IPReg)5 ECTS
(englische Bezeichnung: Inverse Problems)
(Prüfungsordnungsmodul: Inverse Problems and their Regularization)

Lectures:

• • Tutorial to Inverse Problems
    (Übung, Martin Burger et al., Fri, 10:00 - 12:00, Praktikum 1 - PC-Pool / 00.325-128)
  • Inverse Problems
    (Vorlesung, 2 SWS, Martin Burger et al., Tue, 10:00 - 12:00, 04.363)

Inhalt:

• Examples of inverse and ill posed problems in engineering and medical imaging

• Linear regularization methods in Hilbert spaces and singular value decomposition

• Variational methods for regularization and image reconstruction problems

• Tomographic reconstruction and Radon transforms

Lernziele und Kompetenzen:

Students

• develop understanding for special aspects of inverse problems and ill posedness,

• apply regularization methods to inverse problems and develop a basic understanding of their properties,

• derive and solve inverse problems arising from technical and biomedical applications.

Literatur:

• H. Engl, M. Hanke, A. Neubauer: Regularization Methods for Inverse Problems, Kluwer 1996

• M. Benning, M. Burger: Modern Regularization Methods for Inverse Problems, Acta Numerica 2018

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Modeling and applied analysis (MApA) and numerical analysis and simulation (NASi) | Inverse Problems and their Regularization)
2. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Inverse Problems and their Regularization)
3. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Non-Specialisation modules | Inverse Problems and their Regularization)

Studien-/Prüfungsleistungen:

Inverse Problems and their Regularization (Prüfungsnummer: 59941)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 15, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: WS 2019/2020, 1. Wdh.: WS 2019/2020

1. Prüfer:

Daniel Tenbrinck