@conference {LenzenBerger2015, title = {Solution-Driven Adaptive Total Variation Regularization}, booktitle = {LNCS}, year = {2015}, publisher = {Springer International Publishing}, organization = {Springer International Publishing}, abstract = {We consider solution-driven adaptive variants of Total Variation, in which the adaptivity is introduced as a fixed point problem. We provide existence theory for such fixed points in the continuous domain. For the applications of image denoising, deblurring and inpainting, we provide experiments which demonstrate that our approach in most cases outperforms state-of-the-art regularization approaches.}, doi = {10.1007/978-3-319-18461-6_17}, url = {http://dx.doi.org/10.1007/978-3-319-18461-6_17}, author = {Frank Lenzen and Johannes Berger} }