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采用色差先验约束的像差校正技术
引用本文:张金刚,相里斌,汶德胜,王书振.采用色差先验约束的像差校正技术[J].中国光学,2018,11(4):560-567.
作者姓名:张金刚  相里斌  汶德胜  王书振
作者单位:1. 中国科学院 光电研究院, 北京 100194; 2. 中国科学院大学, 北京 100049; 3. 中国科学院 西安光学精密机械研究所, 陕西 西安 710119; 4. 西安电子科技大学 计算机学院, 陕西 西安 710071
基金项目:国家自然科学基金项目(No.61775219,61771369,61640422,61540028);中国科学院装备预研联合基金项目(No.6141A01011601)
摘    要:本文通过分析自然图像的边缘3个通道之间的关联性,提出"同一物体的边缘在3个颜色通道应处于相同位置"的色差先验约束,该约束在数学上近似为各通道的相对导数相等,基于此色差先验约束,建立了一种新的像差校正模型即图像解卷积模型,并给出了基于交替方向乘子法的模型求解算法。实验结果表明:本文的像差校正技术可以提升图像的峰值信噪比10 dB以上,明显优于目前主流的BM3D和YUV算法,并且视觉提升效果明显,基本满足普通光学系统对像差的校正要求。

关 键 词:像差校正  解卷积  色差先验  交替方向乘子法
收稿时间:2018-01-11

Aberration correction technology based on chromatic aberration prior constraints
ZHANG Jin-gang,XIANG LI-bin,WEN De-sheng,WANG Shu-zhen.Aberration correction technology based on chromatic aberration prior constraints[J].Chinese Optics,2018,11(4):560-567.
Authors:ZHANG Jin-gang  XIANG LI-bin  WEN De-sheng  WANG Shu-zhen
Institution:1. Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing 100194, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China; 3. Xi'an Institute of Optics and Precision Mechanics of CAS, Xi'an 710119, China; 4. School of Computer Science and Technology, Xidian University, Xi'an 710071, China
Abstract:A priori constraint of the chromatic aberration of "the edges of the same object should be in the same position in the three color channels" is proposed by analyzing the correlation between the three channels of the natural image edge in this paper. The priori constraint is mathematically approximated as the relative derivative of each channel. Based on this chromatic aberration prior constraint, a new aberration correction model, namely the image deconvolution model, is established, and a model solving algorithm based on ADMM is given. The experimental results show that this aberration correction technique can improve the peak SNR of image by more than 10 dB, which is much better than the current mainstream algorithms such as BM3D and YUV. Moreover, the visual image performance is greatly enhanced, thus basically meets the common optical system correction requirements for aberrations.
Keywords:aberration correction  deconvolution  chromatic aberration prior  alternating direction method of multipliers
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