融合小波与非局部均值滤波的DSPI相位图去噪
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北京信息科技大学仪器科学与光电工程学院 北京 100192

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TP394.1;TH691.9

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北京市自然科学基金(4212047,4214080)、国家自然科学基金(52075045,52075044)项目资助


Denoising of DSPI phase maps based on wavelet and non-local mean filtering
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School of Instrumentation Science and Optoelectronic Engineering, Beijing Information Science and Technology University,Beijing 100192, China

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    摘要:

    相位图去噪是数字散斑干涉测量的关键技术,但现有以正余弦均值滤波与窗口傅立叶变换滤波为代表的去噪方法在相位保真、自适应降噪、操作简便等方面不能完全满足要求。提出了一种新的自适应相位图去噪方法,首先计算原始相位图的噪声方差,然后对图像分别进行正弦与余弦变换后得到两幅图像,再对这两幅图像进行小波同态阈值去噪与非局部均值滤波,最后将处理后的两幅相位图反正切运算并再次估计噪声方差,根据图像噪声方差的收敛情况判断是否继续迭代处理,以实现相位图的自适应降噪。实验结果表明:针对同一张含噪相位图与传统正余弦均值滤波相比,本文方法噪声方差减少了0.38、L算子和减少了0.2、SSIM提高了0.16,同时,图像信息熵仅相差0.1。该方法能够有效抑制相位图中的相干噪声,充分保留相位边缘信息,同时能够有效避免因不适当的迭代滤波次数所导致的相位失真或噪声残留。

    Abstract:

    Phase denoising is a key technology for digital speckle pattern interferometry, but the existing denoising methods represented by sinecosine mean filtering and window Fourier transform filtering cannot fully meet the requirements in terms of phase fidelity, adaptive noise reduction, and ease of operation. In this article, a new adaptive denoising method is proposed. The method estimates the noise variance of a raw phase map at the first, and then performs the sinecosine transformation of the phase map to obtain two phase maps. The two phase maps are then smoothed respectively by using several layers of wavelet threshold denoising and non-local mean filtering. The two phase maps are subjected to arctangent operation and their noise variances are estimated again. The above-mentioned denoising operations are iteratively performed according to the criterion of image noise variance to realize adaptive noise reduction of the phase maps. Experimental results show that compared with the traditional sin-cosine mean filtering, The noise variance of the proposed method is reduced by 0.38, the sum of L operators is reduced by 0.2, and the SSIM is increased by 0.16. Meanwhile, the difference of image information entropy is only 0.1. This method can effectively suppress the coherent noise in the phase maps, preserve the phase edge information, and avoid phase distortion or noise residue caused by inappropriate filtering cycles.

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刘源,吴思进,李伟仙,司娟宁,牛海莎.融合小波与非局部均值滤波的DSPI相位图去噪[J].电子测量技术,2023,46(20):110-119

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  • 在线发布日期: 2024-01-23
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