论文标题
二阶TGV离散化，$ 90^{\ circ} $旋转不变性属性
A Second-Order TGV Discretization with $90^{\circ}$ Rotational Invariance Property
论文作者
论文摘要
在这项工作中，我们为与现有离散配方相比，针对二阶总通用变异（TGV）提出了一个新的离散化。引入的模型基于与Condat离散的总变化模型相同的设计原理（\ textit {siam J. Imaging Sci}。，10（3），1258--1290，2017），并分享其优势，特别是改善了成像问题解决方案的质量。提出了使用新离散化使用二阶TGV进行图像降级的算法。使用该算法获得的数值结果证明了离散化的优势。此外，为了比较新模型的不变属性，给出了用于计算新离散模型的TGV值的算法。
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 (\textit{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 proposed. Numerical results obtained with this algorithm demonstrate the discretization's advantages. Moreover, in order to compare invariance properties of the new model, an algorithm for calculating the TGV value with respect to the new discretization model is given.
