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A primal-dual multiplier method for total variation image restoration

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: total variation; primal dual; variation; dual multiplier; multiplier method; image

Journal Title: Applied Numerical Mathematics
Year Published: 2019

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