A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model

A Fast Linearised Augmented Lagrangian Method for a Mean Curvature Based Model

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.010817.160218

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 463–476

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

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