We propose a new type of regularization functional called oscillation total generalized variation (TGV) which is able to represent structured textures with oscillatory character. The infimal convolution of oscillation TGV associated with different directions is studied as a regularizer for variational imaging problems. We discuss analytical properties of these functionals, discretization and algorithmic realization. Finally, numerical experiments are presented that show the advantages of the model in terms of texture preservation and reconstruction.

This presentation is part of Minisymposium “MS49 - Image Restoration, Enhancement and Related Algorithms (4 parts)”
organized by: Weihong Guo (Case Western Reserve University) , Ke Chen (University of Liverpool) , Xue-Cheng Tai (Hong Kong Baptist University) , Guohui Song (Clarkson University) .

Authors:

Kristian Bredies (Universität Graz)

Yiming Gao (Nanjing University of Science and Technology,)

Keywords:

image enhancement, image reconstruction, inverse problems, nonlinear optimization