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Inverse Problems (IPReg)5 ECTS (englische Bezeichnung: Inverse Problems)
(Prüfungsordnungsmodul: Inverse Problems and their Regularization)
Modulverantwortliche/r: Martin Burger Lehrende:
Martin Burger
Start semester: |
WS 2021/2022 | Duration: |
1 semester | Cycle: |
unregelmäßig |
Präsenzzeit: |
38 Std. | Eigenstudium: |
112 Std. | Language: |
Englisch |
Lectures:
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:
Bemerkung:
Weitere Informationen finden Sie im Modlhandbuch CAM
https://www.math.fau.de/wp-content/uploads/2021/09/CAM_Module_WS21-22.pdf
Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
- 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)
- 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)
- 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)
Dieses Modul ist daneben auch in den Studienfächern "Data Science (Master of Science)", "Mathematik (Master of Science)", "Technomathematik (Master of Science)", "Wirtschaftsmathematik (Master of Science)" verwendbar. Details
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 2021/2022, 1. Wdh.: WS 2021/2022
1. Prüfer: | Martin Burger, | 2. Prüfer: | Philipp Wacker |
- Termin: 16.02.2022, 10:30 Uhr, Ort: H11
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