期刊
SIAM JOURNAL ON IMAGING SCIENCES
卷 8, 期 3, 页码 1798-1823出版社
SIAM PUBLICATIONS
DOI: 10.1137/14098435X
关键词
anisotropic TV; isotropic TV; weighted difference; difference of convex algorithm; convergence to stationary points; stable oscillatory errors; Bregman and split Bregman iterations
类别
资金
- NSF [DMS-1222507, DMS-1118971, DMS-0928427]
- NSFC [11271049]
- RGC [211911, 12302714]
- RFGs of HKBU
- ONR [N000141410683, N000141110749]
- Keck Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1222507] Funding Source: National Science Foundation
We propose a weighted difference of anisotropic and isotropic total variation (TV) as a regularization for image processing tasks, based on the well-known TV model and natural image statistics. Due to the form of our model, it is natural to compute via a difference of convex algorithm (DCA). We draw its connection to the Bregman iteration for convex problems and prove that the iteration generated from our algorithm converges to a stationary point with the objective function values decreasing monotonically. A stopping strategy based on the stable oscillatory pattern of the iteration error from the ground truth is introduced. In numerical experiments on image denoising, image deblurring, and magnetic resonance imaging (MRI) reconstruction, our method improves on the classical TV model consistently and is on par with representative state-of-the-art methods.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据