Partial Differential Equations Based Image Processing (IPro)5 ECTS
(englische Bezeichnung: Partial Differential Equations Based Image Processing)

Lectures:

• • PDE based Image Processing
    (Vorlesung, 2 SWS, Daniel Tenbrinck, Tue, 8:00 - 10:00, Übung 1 / 01.250-128; single appointment on 22.7.2019, 10:00 - 12:00, Praktikum 2 / 00.327-128)
  • Tutorial to PDE based Image Processing
    (Tutorium, 0,5 SWS, Daniel Tenbrinck, single appointment on 8.7.2019, 10:00 - 12:00, Praktikum 2 / 00.327-128)

Empfohlene Voraussetzungen:

Basic knowledge in functional analysis and numerical methods for pdes is recommended

Inhalt:

• basics of image processing

• deblurring using different partial differential equations

• Finite Element Method for variational methods in image restauration and image segmentation

Lernziele und Kompetenzen:

Students

• explain mathematical and algorithmic methods for image processing,

• apply above image processing methods in computerised practical exercises,

• apply analytical techniques to evaluate the qualitative characteristics of the above methods.

Literatur:

G. Aubert, P. Kornprobst: Mathematical problems in image processing, Springer

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation:Modeling and applied analysis (MApA) and numerical analysis and simulation (NASi) | Partial differential equations based image processing)
2. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Partial differential equations based image processing)
3. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Numerical analysis and simulation (NASi) and optimization (Opti) | Partial differential equations based image processing)
4. Mathematik (Master of Science)
   (Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule)

Studien-/Prüfungsleistungen:

Partial differential equations based image processing (Prüfungsnummer: 59121)

(englischer Titel: Partial differential equations based image processing)

(diese Prüfung gilt nur im Kontext der Studienfächer/Vertiefungsrichtungen [1], [2], [3])

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 20, benotet, 5.0 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: SS 2019, 1. Wdh.: SS 2019

1. Prüfer:

Martin Burger

Partial Differential Equations Based Image Processing (Prüfungsnummer: 389319)

(englischer Titel: Partial Differential Equations Based Image Processing)

(diese Prüfung gilt nur im Kontext der Studienfächer/Vertiefungsrichtungen [4])

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 15, benotet, 5.0 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: SS 2019, 1. Wdh.: SS 2019

1. Prüfer:

Martin Burger