# A Second-Order TGV Discretization with $90^{\circ}$ Rotational Invariance Property

@inproceedings{Hosseini2022AST, title={A Second-Order TGV Discretization with \$90^\{\circ\}\$ Rotational Invariance Property}, author={Alireza Hosseini and Kristian Bredies}, year={2022} }

In this work, we propose a new discretization for second-order total generalized variation (TGV) with some distinct properties compared to existing discrete formulations. The introduced model is based on same design principles as Condat’s discrete total variation model ( SIAM J. Imaging Sci ., 10(3), 1258–1290, 2017) and shares its beneﬁts, in particular, improved quality for the solution of imaging problems. An algorithm for image denoising with second-order TGV using the new discretization is…

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