基于正余弦分解的自适应全变分散斑去噪方法  

Adaptive Total Variation Speckle Denoising Method Based on Sine-Cosine Decomposition

作　　者：刘吉[1,2] 黄晓慧 武锦辉[1] 苏凝钢 于丽霞[2] Liu Ji;Huang Xiaohui;Wu Jinhui;Su Ninggang;Yu Lixia(Science and Technology on Electronic Test and Measurement Laboratory,North University of China,Taiyuan,Shanxi 030051,China;College of Information and Communications Engineering,North University of China,Taiyuan,Shanxi 030051,China)

机构地区：[1]中北大学电子测试技术重点实验室,山西太原030051 [2]中北大学信息与通信工程学院,山西太原030051

出　　处：《中国激光》2020年第10期164-171,共8页Chinese Journal of Lasers

基　　金：国家自然基金(61603352);装备预研领域基金(61400030302,6140003050110);国防科技重点实验室基金(6142001180413);山西省自然科学基金(201901D111159);山西省归国留学基金(2019-68)。

摘　　要：为解决相位图在去噪过程中出现的散斑噪声残留和边缘纹理模糊问题,基于正余弦分解提出了一种自适应全变分去噪方法。首先,用正余弦函数将原始相位图分解成两幅相位图;然后用自适应全变分算法处理分解后的相位图;最后,通过反正切运算合成去噪后的相位图,以快速去除大量散斑噪声并保留图像的边缘信息。对去噪结果进行定量评价和分析表明,与其他降噪方法相比,本方法得到的图像峰值信噪比提高了2.0 dB,且结构相似度较高。同时可以自适应地选择参数,减少去噪后相位图的波动性,改善相位图的质量。In order to solve the speckle noise residue and edge texture blur in phase image denoising, an adaptive total variation denoising method based on sine-cosine decomposition is proposed in this work. First, the original phase image is decomposed into two phase images by sine and cosine function. Then, the decomposed phase image is processed by adaptive total variation algorithm. Finally, the denoised phase image is synthesized by arctangent operation to quickly remove a large amount of speckle noise and retain the edge information of the image. The quantitative evaluation and analysis of the denoising results show that, compared with other denoising methods, the peak signal-to-noise ratio of the image obtained by this method is improved by 2.0 dB, and the structure similarity is higher. At the same time, the parameters can be adaptively selected to reduce the fluctuation of the phase image and improve the its quality.

关 键 词：测量与计量 散斑干涉技术 相位图 散斑噪声 正余弦分解 自适应全变分算法 

分 类 号：O436.1[机械工程—光学工程] TP391[理学—光学]