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 - <p style="text-align: justify;">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.</p>