A primal-dual multiplier method for total variation image restoration

摘要

In this paper, we propose a novel primal-dual multiplier method for total variation minimization problems. The new idea combining Lagrange dual and total variation dual is presented. Convergence of the proposed algorithms is easily obtained from the proximal point algorithm frame and numerical results including image deblurring, parallel magnetic resonance imaging and image inpainting demonstrate the effectiveness of the new algorithms. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.