基于同态滤波的正余弦全变分融合降噪方法  

Sine Cosine Full Variation Fusion Denoising Method Based on Homomorphic Filtering

作　　者：周洪星 周晚林[1] 崔海华[1] 徐小伟 王波 Zhou Hongxing;Zhou Wanlin;Cui Haihua;Xu Xiaowei;Wang Bo(College of Mechanical&Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210000,Jiangsu,China;Composite Plant of AVIC Xi’an Aircraft Industrial Corporation Co.,Ltd.,Xi’an 710089,Shaanxi,China)

机构地区：[1]南京航空航天大学机电学院,江苏南京210000 [2]中航西安飞机工业集团股份有限公司复合材料厂,陕西西安710089

出　　处：《中国激光》2024年第5期60-68,共9页Chinese Journal of Lasers

基　　金：国家重点研发计划(2021YFB3401700);南京航空航天大学研究生科研与实践创新计划项目(xcxjh20220509)。

摘　　要：针对数字剪切散斑干涉技术在检测过程中得到的包裹相位图中存在噪声干扰的问题,本文提出了一种基于同态滤波的正余弦全变分融合降噪的激光散斑图像噪声抑制方法。首先对同态滤波后的包裹相位图进行正余弦分解,然后在分解的基础上通过全变分滤波来抑制噪声,最终通过散斑抑制指数的变化自适应地判断滤波是否完成。通过仿真与实验对所提方法的有效性进行了验证。首先向仿真包裹相位图中添加噪声并采用所提方法进行噪声抑制,根据散斑抑制指数验证所提方法的可行性;然后对预制缺陷的复合材料试件进行检测,并采用所提方法进行噪声抑制;最后通过散斑抑制指数和相位展开结果对所提方法的滤波效果进行验证。结果表明:采用所提方法得到的散斑抑制指数相较于传统的正余弦全变分滤波方法约降低了10.7%,同时有效地保护了相位信息不被破坏。Objective In the process of using digital laser shearing speckle interferometry technology for measurement and detection,owing to the different interference characteristics of the laser and the measurement environment,there will be multiplicative and additive noise of different properties in the phase map wrapped in the measurement results.However,noise presented in the wrapped phase diagram makes it difficult to conduct and ensure accurate subsequent phase unwrapping.Therefore,investigating how best to suppress and remove noise contained in wrapped phase diagrams is crucial for measurement applications involving shear speckle interferometry.Currently,problems remain with noise suppression and the removal of speckle interference-wrapped phase maps.For example,traditional noise suppression methods(such as sine cosine full variation filtering)consistently fail to fully suppress both multiplicative and additive noise while protecting wrapped phase information,which makes the analysis error from subsequent processing either too large or complex to conduct.Hence,in this study,we propose a homomorphic filtering-based sine cosine full variation fusion filtering method that effectively removes multiplicative and additive noise while protecting wrapped phase map information.Subsequently,the effectiveness of the proposed method is experimentally verified.Methods This study proposes the suppression and removal of wrapped phase map noise during digital laser shearing speckle interferometry measurements using a homomorphic filtering-based sine cosine full variation fusion filtering method.First,homomorphic filtering is performed on the original wrapped phase image containing noise to suppress and remove multiplicative noise components from the wrapped phase image.Subsequently,the filtering results undergo sine and cosine decomposition to remove the periodic noise components in the wrapped phase diagram.Finally,the decomposed sine and cosine images are subjected to full variational filtering to remove the remaining additive no

关 键 词：测量 融合滤波 数字剪切散斑干涉术 散斑图像 噪声抑制 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TN247[自动化与计算机技术—计算机科学与技术]