Computational methods for imaging (Winter term 2019)

This seminar will cover different topics for mathematical imaging depending on the prior knowlegde of the participants. Possible topics are for example different inverse problems in imaging applications and variational regularization methods leading to optimization problems.

The semiar will be a block seminar. The concrete dates of the seminar will be discussed together with the participants in a first meeting in October.

Time schedule and topics

12.12.2019, room 415

Linear filters and convolution

Windowed Fourier transform and continuous wavelet transform - cancelled!

Discrete wavelet transform and image compression

Bayesian inversion framework

Optical flow estimation

10.01.2020, lecture hall H3

Nonlinear diffusion - Perona Malik equation - postponed to 17.1.19

Denoising images - wavelet shrinkage denoising

Denoising images - Total variation denoising postponed to 17.1.19

16.01.2020, room 415

Sparsity-promoting regularization

TV regularized reconstruction via Chambolle-Pock algorithm

Nonlinear inverse problems

Image inpainting cancelled!

17.01.2020 (alternative date), room 127

Nonlinear diffusion - Perona Malik equation

Denoising images - Total variation denoising

Literature:

Bredies & Lorenz, Mathematical image processing

Aubert & Kornprobst, Mathematical problems in image processing

Engl, Hanke, Neubauer, Regularization of inverse problems