一种针对含噪声相位的完全相位解包裹算法  

Complete phase-unwrapping algorithm for wrapped phase distribution with noise

作　　者：程琼[1] CHENG Qiong(Geely Automotive Institute,Hangzhou Vocational and Technical College,Zhejiang 310018,China)

机构地区：[1]杭州职业技术学院吉利汽车学院,浙江杭州310027

出　　处：《光学技术》2022年第3期312-316,共5页Optical Technique

基　　金：浙江省教育厅高校国内访问工程师校企合作项目(FG2021032)。

摘　　要：干涉测量中,环境和成像系统热噪声以及不均匀的被测表面反射率均会使测量相位分布不一致,以留数点的形式出现在相位包裹图中。在此情况下,获得完整真实、高精度的被测表面相位解包裹结果就成为亟需解决的难题。不同于传统方法利用枝切连接留数点,隔离噪声干扰区域;或以丢失细节信息为代价,采用最小范数类方法的解包裹方案,首次将和谐均值这一数论概念应用在相位解包裹中。方法利用其具有剔除粗大误差的特殊性质,类比环绕留数点的四邻域相位点为待计算和谐均值数据,直接检测噪声干扰点,得到全局相位解包裹结果。最后利用强噪声干扰下,复杂表面的计算机模拟实验,通过定量定性分析,对其结果精度,运算效率,简单易执行的优点进行了有效验证。In interferometry,environmental,imaging system thermal noise and ununiform reflectance of the test surface all lead to inconsistent phase distribution,which in the form of residues occurred in the wrapped phase maps.Under this condition,how to completely recover the phase unwrapping result with high-precision becomes to be an unavoidable issue.Different from conventional unwrapping techniques,which construct branch cuts between the residues to separate the noise-affected areas;or different from the approaches implementing minimize norm methods,at the cost of losing local information of the details,to the best of my knowledge,harmonic mean,is for the first time applied in phase unwrapping.Based on its specific property of handling large outliers,the four neighborhood pixels around the residue are analogous to the harmonized mean data,giving rise to a straightforward way to identify the noise-related pixels and to obtain a global unwrapping result.Finally,a computer simulated complex surface with high level of noise is used to verify the accuracy,efficiency and simplicity of the proposed algorithm in implementation,through both quantitative and qualitative analysis.

关 键 词：干涉测量 相位解包裹 相位测量 成像系统噪声 

分 类 号：O436.1[机械工程—光学工程]