A linearly convergent first-order algorithm for total variation minimisation in image processing

Authors:
Cong D. Dang;Kaiyu Dai;Guanghui Lan
Affiliations:
Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA;Software School, Fudan University, Shanghai 201203, China;Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA
Venue:
International Journal of Bioinformatics Research and Applications
Year:
2014

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Abstract

We introduce a new formulation for total variation minimisation in image denoising. We also present a linearly convergent first-order method for solving this reformulated problem and show that it possesses a nearly dimension-independent iteration complexity bound.