A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data
A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data
复制标题
DOI：
10.1007/s10851-015-0627-3
复制
发表时间：
2016-01
影响因子：
2
通讯作者：
Ronny Bergmann;A. Weinmann
中科院分区：
文献类型：
--
作者：
Ronny Bergmann;A. Weinmann
在本文中，我们考虑去噪和修复问题的高维组合循环和线性空间值的数据。这些类型的数据在处理非线性颜色空间（例如HSV）时出现，并且可以通过改变空间域来获得，例如，将光流场转换为极坐标。对于这样的非线性数据空间，我们开发了相应的二阶全变分型问题的去噪，修复以及两者的组合的解决方案的算法。我们提供了一个收敛性分析，并将算法应用到具体的问题。
In this paper, we consider denoising and inpainting problems for higher dimensional combined cyclic and linear space-valued data. These kinds of data appear when dealing with nonlinear color spaces such as HSV, and they can be obtained by changing the space domain of, e.g., an optical flow field to polar coordinates. For such nonlinear data spaces, we develop algorithms for the solution of the corresponding second-order total variation-type problems for denoising, inpainting as well as the combination of both. We provide a convergence analysis and apply the algorithms to concrete problems.