Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model.
文献类型：期刊论文
| 作者 | Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian |
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2017 |
| 文献子类 | 期刊论文 |
| 英文摘要 | Recently, many variational models involving high order derivatives have been widely used in image processing, because they can reduce staircase effects during noise elimination. However, it is very challenging to construct efficient algorithms to obtain the minimizers of original high order functionals. In this paper, we propose a new linearized augmented Lagrangian method for Euler's elastica image denoising model. We detail the procedures of finding the saddle-points of the augmented Lagrangian functional. Instead of solving associated linear systems by FFT or linear iterative methods (e. g., the Gauss-Seidel method), we adopt a linearized strategy to get an iteration sequence so as to reduce computational cost. In addition, we give some simple complexity analysis for the proposed method. Experimental results with comparison to the previous method are supplied to demonstrate the efficiency of the proposed method, and indicate that such a linearized augmented Lagrangian method is more suitable to deal with large-sized images. |
| URL标识 | 查看原文 |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/12573]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS |
| 推荐引用方式 GB/T 7714 | Zhang, Jun,Chen, Rongliang,Deng, Chengzhi,et al. Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model.[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2017. |
| APA | Zhang, Jun,Chen, Rongliang,Deng, Chengzhi,&Wang, Shengqian.(2017).Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model..NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS. |
| MLA | Zhang, Jun,et al."Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model.".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS (2017). |
入库方式： OAI收割
来源：深圳先进技术研究院
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