TeachingWs06SeminarVariationalMethods

 Chair for Computer Aided Medical Procedures & Augmented Reality Lehrstuhl für Informatikanwendungen in der Medizin & Augmented Reality

 MICCAI 2015Munich, Germany MEDICON 2013Sevilla, Spain MICCAI-STENT 2013Nagoya, Japan IPCAI 2013Heidelberg, Germany

Variational Methods for Imaging Applications

Hauptseminar (SWS: 2, ECTS: 4 Credits) by Nassir Navab, Darko Zikic et al.

 Segmentation: Evolving Level-Set, Source: Wikipedia Example for Image Inpainting, Source: Guillermo Sapiro Example for Deformable Registration: make the template as similar as possible to the reference image.

Introduction

Variational Method is an old and powerful mathematical technique to model problems in many application domains.

The trick is to model a so called "energy functional" in such a way that a solution which minimizes the energy is the solution to the modelled problem.

In computer vision and image processing many problems can be solved in this way. These include for example

• Deformable Registration: given two images, deform one of them to be as similar as possible to the other.
• Image Segmentation: given one image, extract certain regions from this image.
• Image Inpainting: given one damaged image, try to repair it by 'inpainting' the missing regions.
• Image Filtering: given one image, perform advanced filtering operations on it.

In this seminar the students will learn the mathematical background and the basics which will enable them to use this powerful tool, also for many other applications. Numerical algorithms will be presented, which allow an efficient implementation of the algorithms. Finally, the example appplications will be presented and the solution using the variational approach will be demonstrated.

The seminar will be held in one block in the winter term 2006. This will hopefully result in a workshop atmosphere and enhance the opportunity for discussions.

Seminar Format

• The seminar will be conducted in English
• The seminar will be organized as a block seminar with 2 sessions
• Unlike in most seminars, the students are encouraged to perform and present simple implementations of the presented methods. This helps the student understand the method better then by just reading the papers and also enriches the presentation. Frameworks and help with the implementation will be provided.

Requirements

• Presentation of the topic at a session. The presentation duration should be 45 minutes.
• Handout of the topic. 8-10 pages length in LaTex.

• The students are not required a certain mathematical background. However, they should have a sound knowledge of the basics of analysis and algebra.

Schedule

• 21 Jul - Preliminary Discussion
• Here we will present the seminar and the respective topics in detail. The topics will be distributed at this meeting, and the organization of the seminar will be discussed, hence attendance is important.
• 31 Aug - Last Withdrawal Date
• The last day where students who registered for the seminar can withdraw. This regulation ensures that students have an adequate amount of time to make sure that they are interested in the topic. It also makes it possible to offer the rejected topic to another student. For details please also see the footnote 1) below.
• First draft discussion with tutor individual date
• 10 Jan 2007 - Final draft discussion with tutor
• 17 Jan 2007 - Final handout and presentation due
• 24 Jan 2007 - Presentation Session in the Seminar room MI 03.013.010

Topics

Topic Student Handouts/Presentations
Deformable Registration Thomas Kasper
Segmentation Marcin Salaterski
Image Deconvolution Methods Mohamed Bamakhrama
Image Inpainting Abdelali Zahi

Literature

Individual Literature is assigned during the preliminary discussion.

Templates

• Presentation Stuff:
• Want to do nice formulas in Powerpoint the easy way? Try the free package TeX4PPT.
• Free office suite with Powerpoint compatible presentation program: OpenOffice.

1) In den Bachelor- und Masterstudiengaengen zählen Seminare und Praktika als Prüfungsleistungen, zu welchen eine vorzeitige Anmeldung erforderlich ist. Angemeldete Prüfungen, zu welchen die Studierenden nicht erscheinen, werden als "Nicht bestanden (nicht erschienen)" mit der Note 5,0 gewertet. Die Studierenden haben jedoch die Möglichkeit, sofern es sich um den Erstversuch handelt und keine Fristen verletzt werden, bei schriftlichen Prüfungen bis einen Tag vor dem ersten Prüfungstermin und bei muendlichen Prüfungen bis eine Woche vor der Prüfung ohne Angabe von Gründen zurueckzutreten. Nach Beschluß des Prüfungsausschusses können die Veranstalter von Seminaren und Praktika individuell die Rücktrittsregelungen gestalten.
Wir räumen den Teilnehmern dieses Seminars einige Wochen Einarbeitungszeit, um den Seminarplatz nochmal freigeben zu können, weil das Thema etwa doch nicht den Vorstellungen entspricht oder die Studenten mit der Durchführung des Seminars nicht zufrieden sind. Diese Zeit ist allerdings eingeschränkt, um den freigewordenen Seminarplatz eventuell anderen Studenten anbieten zu können.

TeachingForm
Title: Variational Methods for Imaging Applications
Professor: Nassir Navab
Tutors: Darko Zikic et al.
Type: Hauptseminar
Information: (2 SWS, 4 ECTS)
Term: 2006WiSe
Abstract:

Edit | Attach | Refresh | Diffs | More | Revision r1.14 - 24 Jan 2007 - 00:57 - DarkoZikic

Lehrstuhl für Computer Aided Medical Procedures & Augmented Reality