A VARIATIONAL GAMMA CORRECTION MODEL FOR IMAGE CONTRAST ENHANCEMENT

被引:18
作者
Wang, Wei [1 ]
Sun, Na [1 ]
Ng, Michael K. [2 ]
机构
[1] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
基金
上海市自然科学基金;
关键词
Contrast enhancement; variational method; gamma correction; algorithm; minimization; HISTOGRAM EQUALIZATION; ALGORITHM; SPECIFICATION;
D O I
10.3934/ipi.2019023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Image contrast enhancement plays an important role in computer vision and pattern recognition by improving image quality. The main aim of this paper is to propose and develop a variational model for contrast enhancement of color images based on local gamma correction. The proposed variational model contains an energy functional to determine a local gamma function such that the gamma values can be set according to the local information of the input image. A spatial regularization of the gamma function is incorporated into the functional so that the contrast in an image can be modified by using the information of each pixel and its neighboring pixels. Another regularization term is also employed to preserve the ordering of pixel values. Theoretically, the existence and uniqueness of the minimizer of the proposed model are established. A fast algorithm can be developed to solve the resulting minimization model. Experimental results on benchmark images are presented to show that the performance of the proposed model are better than that of the other testing methods.
引用
收藏
页码:461 / 478
页数:18
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