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• Artificial Intelligence and Pattern Recognition •

### 基于灵活稀疏结构控制和自适应优化算法的模糊图像盲复原

Ri-Sheng Liu, Member, ACM, IEEE, Cai-Sheng Mao, Zhi-Hui Wang, Hao-Jie Li*, Member, ACM, IEEE

1. International School of Information Science and Engineering, Dalian University of Technology, Dalian 116620, China;Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian 116620, China
• 收稿日期:2018-10-19 修回日期:2019-03-26 出版日期:2019-05-05 发布日期:2019-05-06
• 通讯作者: Hao-Jie Li E-mail:hjli@dlut.edu.cn
• 作者简介:Ri-Sheng Liu is currently an associate professor in the International School of Information Science and Engineering, Dalian University of Technology, Dalian. He received his B.S. and Ph.D. degrees both in mathematics from the Dalian University of Technology, Dalian, in 2007 and 2012 respectively. He was a visiting scholar in the Robotic Institute of Carnegie Mellon University, Pittsburgh, from 2010 to 2012. He served as a Hong Kong scholar research fellow at the Hong Kong Polytechnic University, Hong Kong, from 2016 to 2017. He is a member of ACM and IEEE. His research interests include machine learning, optimization, computer vision and multimedia.
• 基金资助:
This work was partially supported by the National Natural Science Foundation of China under Grant Nos. 61672125 and 61772108.

### Blind Image Deblurring via Adaptive Optimization with Flexible Sparse Structure Control

Ri-Sheng Liu, Member, ACM, IEEE, Cai-Sheng Mao, Zhi-Hui Wang, Hao-Jie Li*, Member, ACM, IEEE

1. International School of Information Science and Engineering, Dalian University of Technology, Dalian 116620, China;Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian 116620, China
• Received:2018-10-19 Revised:2019-03-26 Online:2019-05-05 Published:2019-05-06
• Contact: Hao-Jie Li E-mail:hjli@dlut.edu.cn
• About author:Ri-Sheng Liu is currently an associate professor in the International School of Information Science and Engineering, Dalian University of Technology, Dalian. He received his B.S. and Ph.D. degrees both in mathematics from the Dalian University of Technology, Dalian, in 2007 and 2012 respectively. He was a visiting scholar in the Robotic Institute of Carnegie Mellon University, Pittsburgh, from 2010 to 2012. He served as a Hong Kong scholar research fellow at the Hong Kong Polytechnic University, Hong Kong, from 2016 to 2017. He is a member of ACM and IEEE. His research interests include machine learning, optimization, computer vision and multimedia.
• Supported by:
This work was partially supported by the National Natural Science Foundation of China under Grant Nos. 61672125 and 61772108.

Abstract: Blind image deblurring is a long-standing ill-posed inverse problem which aims to recover a latent sharp image given only a blurry observation. So far, existing studies have designed many effective priors w.r.t. the latent image within the maximum a posteriori (MAP) framework in order to narrow down the solution space. These non-convex priors are always integrated into the final deblurring model, which makes the optimization challenging. However, due to unknown image distribution, complex kernel structure and non-uniform noises in real-world scenarios, it is indeed challenging to explicitly design a fixed prior for all cases. Thus we adopt the idea of adaptive optimization and propose the sparse structure control (SSC) for the latent image during the optimization process. In this paper, we only formulate the necessary optimization constraints in a lightweight MAP model with no priors. Then we develop an inexact projected gradient scheme to incorporate flexible SSC in MAP inference. Besides lp-norm based SSC in our previous work, we also train a group of denoising convolutional neural networks (CNNs) to learn the sparse image structure automatically from the training data under different noise levels, and we show that CNNs-based SSC can achieve similar results compared with lp-norm but are more robust to noise. Extensive experiments demonstrate that the proposed adaptive optimization scheme with two types of SSC achieves the state-of-the-art results on both synthetic data and real-world images.

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