SATURATION-VALUE TOTAL VARIATION MODEL FOR CHROMATIC ABERRATION CORRECTION

被引:3
作者
Wang, Wei [1 ]
Pi, Ling [2 ]
Ng, Michael K. [3 ]
机构
[1] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China
[3] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
基金
上海市自然科学基金;
关键词
Chromatic aberration correction; saturation and value components; total variation; regularization;
D O I
10.3934/ipi.2020034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Chromatic aberration generally occurs in the regions of sharp edges in captured digital color images. The main aim of this paper is to propose and develop a novel Saturation-Value Total Variation (SVTV) model for chromatic aberration correction. In the proposed optimization model, there are three terms for the correction purpose. The SVTV regularization term is to model the target color image in HSV color space instead of RGB color space, and to avoid oscillations in the recovering process. In correction process, the gradient matching terms based on the green component are used to govern both red and blue components, and the intensity terms are employed to fit red, green and blue data components. The existence of the minimizer of the optimization model is analyzed and an efficient optimization algorithm is also developed for solving the resulting variational problem. Experimental results are presented to illustrate the effectiveness of the proposed model and to show that the correction results are better than those by using the other testing methods.
引用
收藏
页码:733 / 755
页数:23
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