Oriented total variation l1/2 regularization |
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| Affiliation: | 1. Video Technique Department, Alibaba.com, E10, 10th Floor, Shanghai Mart, 2299 West Yan’an Road, Shanghai 200336, China;2. Baidu.com, Beijing, China;3. Lenovo Research, Hong Kong;4. Tsinghua University, Beijing, China;5. University of Science and Technology China, Beijing, China;1. Department of Electrical Engineering, National Sun Yat-sen University, Kaohsiung 804, Taiwan;2. Department of Computer Science and Information Engineering, Asia University, Taichung 413, Taiwan;3. Dept. of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;4. Research Center for Information Technology Innovation, Academia Sinica, Taipei 115, Taiwan;5. Graduate Institute of Communication Engineering, National Chung Hsing University, Taichung 402, Taiwan |
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| Abstract: | Total Variation (TV) is a widely used image restoration/decomposition model. It is observed that the classical TV l1 and TV l2 regularization, on the one hand, do not favor higher-gradient structures over lower-gradient details as expected for structure preserving image processing, and on the other hand, tend to reduce the horizontal and vertical gradients, and thus inevitably blur the oblique edges in images. In this paper, we address these two problems by defining Oriented Total Variation l1/2 (OTV l1/2). It is theoretically and experimentally demonstrated that applying l1/2 regularization to the directional derivatives of images leads to superior structure preservation. OTV l1/2 regularization can be applied to image denoising and video compression, and the experimental results verify that OTV l1/2 outperforms other similar models. |
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| Keywords: | Total variation Restoration Decomposition Denoising Compression Anisotropic regularization Structure preserving smoothing |
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