Fast total-variation based image restoration based on derivative alternated direction optimization methods》.pdf

Neurocomputing 170 (2015) 201–212 Contents lists available at ScienceDirect Neurocomputing journal homepage: /locate/neucom Fast total-variation based image restoration based on derivative alternated direction optimization methods Dongwei Ren a, Hongzhi Zhang a, David Zhang b, Wangmeng Zuo a,n a School of Computer Science and Technology, Harbin Institute of Technology, Harbin, China b Department of Computing, The Hong Kong Polytechnic University, Kowloon, Hong Kong a r t i c l e i n f o a b s t r a c t Article history: The total variation (TV) model is one of the most successful methods for image restoration, as well as an Received 10 December 2013 ideal bed to develop optimization algorithms for solving sparse representation problems. Previous Received in revised form studies showed that derivative space formulation of the image restoration model is useful in improving 24 May 2014 the success rate in image recovery and kernel estimation performance in blind deconvolution. However, Accepted 4 August 2014 little attentions are paid on the model and algorithm for derivative space based image restoration. In this Available online 15 June 2015 paper, we study the TV based image restoration (TVIR) by developing a novel derivative space-based Keywords: reformulation together with an efficient derivative alternating direction method of multipliers