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基于L曲线调参的FOTV-ADMM超分辨率图像重建
引用本文:徐 文,杨晓梅,徐秋怡,田巧玉,刘 凯. 基于L曲线调参的FOTV-ADMM超分辨率图像重建[J]. 电讯技术, 2021, 61(8): 1034-1042. DOI: 10.3969/j.issn.1001-893x.2021.08.018
作者姓名:徐 文  杨晓梅  徐秋怡  田巧玉  刘 凯
作者单位:四川大学锦江学院 电气与电子信息工程学院,四川 眉山620860;四川大学 电气工程学院,成都610207;中央民族大学 信息工程学院,北京100081
摘    要:基于图像高频细节的重构问题,建立了全变分(Total Variation,TV)约束重建模型,选取交替方向乘子法(Alternating Direction Method of Multipliers,ADMM)求解分析.TV-ADMM重建算法能够保持图像边缘信息,纹理细节的刻画却不够理想,图像平滑部分的重建出现阶梯效...

关 键 词:超分辨率图像重建  分数阶全变分  交替方向乘子法  L曲线  自适应正则化调参

Super-resolution image reconstruction based on L-curve parameters adjustment FOTV-ADMM
XU Wen,YANG Xiaomei,XU Qiuyi,TIAN Qiaoyu,LIU Kai. Super-resolution image reconstruction based on L-curve parameters adjustment FOTV-ADMM[J]. Telecommunication Engineering, 2021, 61(8): 1034-1042. DOI: 10.3969/j.issn.1001-893x.2021.08.018
Authors:XU Wen  YANG Xiaomei  XU Qiuyi  TIAN Qiaoyu  LIU Kai
Abstract:To solve the problem of reconstructing high-frequency details of images,a model with total variation(TV) regularization is established and solved by alternating direction method of multipliers(ADMM) algorithm.TV-ADMM reconstruction algorithm can keep image edge information,but the texture details of image is not ideally reconstructed and ladder effect and over smooth effect appear.A fractional order regularization model algorithm FOTV-ADMM is proposed to solve this problem.The algorithm has a good effect on high-frequency details of image texture and can sharpen the edge at the same time.In order to reduce the influence of empirical adjustment parameters on image reconstruction and the time of adjustment parameters,the L-curve parameters adjustment method is introduced to find the optimal solution of the regularization parameters.Experiment results show that FOTV-ADMM can better retain the texture and smooth details of the image,and adaptive FOTV-ADMM regularization has a better effect on high-frequency details in terms of peak signal-to-noise ratio and structural similarity.
Keywords:super-resolution image reconstruction  fractional order total variation  ADMM  L-curve  adaptive fractional regularization
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