# Exact Solutions to the Total Generalised Variation Minimisation Problem

Konstantinos Papafitsoros*

Total generalised variation (TGV) was introduced by Bredies et. al. as a high quality regulariser for variational problems arising in mathematical image processing (denoising, deblurring). The main advantage over the traditional total variation regularising is the elimination of the undesirable stairscasing effect. \newline In this talk we will give a small introduction to TGV and provide some properties of the exact solutions to the $L^2$-TGV model in the one dimensional case.

Mathematics Subject Classification: 26B30

Keywords: Total generalised variation ; exact solutions ; denoising

Minisymposion: High Resolution Imaging with Geometric Priors