Mathematical Image Analysis Group, Saarland University

Deconvolution Methods in Image Processing

Summer Term 2006

Deconvolution Methods in Image Processing

Dr. Martin Welk, Prof. Dr. Joachim Weickert

(welk@mia.uni-saarland.de)

Summer 2006

Seminar (2h)

Important Dates – Description – Administrative details – Overview of Topics

Important Dates

First meeting: Monday, February 13, 2006, 16:15h (4:15 p.m.), Bld. E11, room 306

Sign-up deadline: Friday, February 10, 2006 (elapsed). No free capacity is left in this seminar.

Regular meetings during summer term 2006: Wednesdays, 16:15h (4:15 p.m.), Bld. E11, room 306
No meeting on June 7!

Please direct all organisatorial requests to Martin Welk.

Description

Contents: In the acquisition of images, blurring is a ubiquitous phenomenon. An important type of blurring is mathematically described by convolution of a sharp image with a point-spread function.

The sharpening of so degraded images, deconvolution, is an ill-posed and thus difficult problem in image processing. A large variety of deconvolution methods have been developed during the last decades, which differ in their assumptions and which offer different advantages and disadvantages.

In this seminar, an overview over a broad range of deconvolution methods will be given, stretching from direct inversion approaches via iterative solution of large systems of equations to variational models combining deconvolution with other tasks like segmentation or image completion (inpainting).

Prerequisites: The seminar is designed for graduate students (i.e. advanced Bachelor, Master, and post-Vordiplom) of computer science or mathematics. For most topics, completed MfI courses are sufficient.

Language: Understanding scientific text in English is indispensable. Talks and write-up can be in English or German.

Administrative details

Sign-up: closed. The deadline was February 10, 2006. No free capacity is left.

Sessions: The initial meeting took place on Monday, February 13, 2006, 16:15h (4:15 p.m.), Bld. E11, room 306.
Regular sessions will be during the summer term on Wednesdays, 16:15h (4:15 p.m.), Bld. E11, room 306. The date of the first meeting will be communicated by e-mail. During that meeting, the further schedule will be determined.
Participants who are hindered to attend a meeting for substantial reasons should notify M. Welk in advance by e-mail.

Requirements for successful participation («Schein»): regular attendance, talk, write-up

Overview of Topics

Please note that the presentation dates given here are preliminary and subject to change.

No.	Topic Presented by	Date
1	Iterative methods for image deblurring Michael Maurer, Daniel Dahrendorf, Peter Geber – [PPT]	April 19
2	Deblurring Gaussian blur Christiane Altmeyer	April 26
3	Analytic inverse of discrete Gaussian blur Adrian Bock – [PPT]	April 26
5	Blur identification by generalised cross-validation Pascal Gwosdek	May 3
No session on May 10
4	Blur identification by residual spectral matching Süntje Böttcher	May 17
6	Blind deconvolution by means of the Richardson-Lucy algorithm Kim Pecina	May 17
7	Matrix-algebraic iterative regularisation methods Kristina Scherbaum, Harriet Bach	May 24
8	Regularised blind deconvolution using recursive inverse filtering Shu Peng	May 31
9	Deconvolution with correct sampling Yana Mileva – [PPT]	May 31
No session on June 7
10	Total variation based deblurring Markus Mainberger, Martin Grochulla	June 14
11	A regularisation approach to joint blur identification and image restoration Thomas Bühler	June 21
12	Blind deconvolution of bar-code signals Jean-Marc Roth	June 21
13	PDE-based deconvolution with forward-backward diffusivities and diffusion tensors Mohamed Abdelmaksoud	June 21
14	Variational pairing of image segmentation and blind restoration Han Dong	June 28
15	Image deblurring in the presence of salt-and-pepper noise Gerrit Kahl	June 28
17	Combining TV and wavelet packet approaches for image deblurring Marin Katov	July 5

Martin Welk / April 5–July 31, 2006