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Volume 8, Issue 3
A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model

Jun Zhang, Chengzhi Deng, Yuying Shi, Shengqian Wang & Yonggui Zhu

DOI: 10.4208/eajam.010817.160218

East Asian J. Appl. Math., 8 (2018), pp. 463-476.

Published online: 2018-08

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  • Abstract

A simple and efficient algorithm for solving a mean curvature based model is proposed. It uses linearisation technique and allows to find closed form solutions of all the subproblems involved. The experimental results show that the method is more efficient in terms of CPU time than the augmented Lagrangian methods considered earlier. Numerical examples demonstrate the convergence of the method.

  • Keywords

Image denoising, mean curvature, linearised augmented Lagrangian method, closed form solution, shrinkage operator.

  • AMS Subject Headings

65M55, 68U10, 94A08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-463, author = {Jun Zhang, Chengzhi Deng, Yuying Shi, Shengqian Wang and Yonggui Zhu}, title = {A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {3}, pages = {463--476}, abstract = {

A simple and efficient algorithm for solving a mean curvature based model is proposed. It uses linearisation technique and allows to find closed form solutions of all the subproblems involved. The experimental results show that the method is more efficient in terms of CPU time than the augmented Lagrangian methods considered earlier. Numerical examples demonstrate the convergence of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.010817.160218}, url = {http://global-sci.org/intro/article_detail/eajam/12619.html} }
TY - JOUR T1 - A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model AU - Jun Zhang, Chengzhi Deng, Yuying Shi, Shengqian Wang & Yonggui Zhu JO - East Asian Journal on Applied Mathematics VL - 3 SP - 463 EP - 476 PY - 2018 DA - 2018/08 SN - 8 DO - http://doi.org/10.4208/eajam.010817.160218 UR - https://global-sci.org/intro/article_detail/eajam/12619.html KW - Image denoising, mean curvature, linearised augmented Lagrangian method, closed form solution, shrinkage operator. AB -

A simple and efficient algorithm for solving a mean curvature based model is proposed. It uses linearisation technique and allows to find closed form solutions of all the subproblems involved. The experimental results show that the method is more efficient in terms of CPU time than the augmented Lagrangian methods considered earlier. Numerical examples demonstrate the convergence of the method.

Jun Zhang, Chengzhi Deng, Yuying Shi, Shengqian Wang and Yonggui Zhu. (2018). A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model. East Asian Journal on Applied Mathematics. 8 (3). 463-476. doi:10.4208/eajam.010817.160218
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