Efficient L1-based nonlocal total variational model of Retinex for image restoration

Guojia Hou; Huizhu Pan; Baoxiang Huang; Guodong Wang; Weibo Wei; Zhenkuan Pan

doi:10.1117/1.JEI.27.5.051207

9 March 2018 Efficient L1-based nonlocal total variational model of Retinex for image restoration

Guojia Hou, Huizhu Pan, Baoxiang Huang, Guodong Wang, Weibo Wei, Zhenkuan Pan

Author Affiliations +

Funded by: China Postdoctoral Science Foundation, Natural Science Foundation of Shandong Province, National Natural Science Foundation of China (NSFC)

Journal of Electronic Imaging, Vol. 27, Issue 5, 051207 (March 2018). https://doi.org/10.1117/1.JEI.27.5.051207

Abstract

Characteristics of an image, such as smoothness, edge, and texture, can be better preserved using the nonlocal differential operator in image processing. We establish an L¹-based nonlocal total variational (NLTVL¹) model based on Retinex theory that can be solved by a fast computational algorithm via the alternating direction method of multipliers. Experiential results demonstrate that our NLTVL¹ method has a good performance on enhancing contrast, eliminating the influence of nonuniform illumination, and suppressing noise. Furthermore, compared with previous works, including traditional Retinex methods and variational Retinex methods, our proposed approach achieves superior performance on edge and texture preservation and needs fewer iterations on recovering the reflectance image, which is illustrated by examples and statistics.

Citation Download Citation

Guojia Hou, Huizhu Pan, Baoxiang Huang, Guodong Wang, Weibo Wei, and Zhenkuan Pan "Efficient L1-based nonlocal total variational model of Retinex for image restoration," Journal of Electronic Imaging 27(5), 051207 (9 March 2018). https://doi.org/10.1117/1.JEI.27.5.051207

Received: 27 October 2017; Accepted: 7 February 2018; Published: 9 March 2018

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