Fuzzy c-means clustering based segmentation and the filtering method for discontinuous ESPI fringe patterns

Xu Wenjun; Tang Chen; Xu Min; Lei Zhenkun

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Fuzzy c-means clustering based segmentation and the filtering method for discontinuous ESPI fringe patterns

机译：基于模糊的C-Means聚类基于分割和不连续ESPI边缘图案的过滤方法

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The filtering of ESPI fringe patterns with both noise and discontinuity is a challenging problem raised in recent years. Discontinuity-detectable and discontinuity-aware processing techniques are demanded. In this paper, a fuzzy c-means (FCM) clustering based fringe segmentation method is proposed. By applying the FCM clustering method to the estimated fringe orientation, we segment the discontinuous ESPI fringe patterns into continuous segments, thus the discontinuous region is identified and a discontinuous region mask is generated. Then, the discontinuous region mask is introduced into the controlling speed function, and an adaptive shape-preserving oriented partial differential equation (OPDE) model is proposed for discontinuous ESPI fringe patterns denoising. According to our method, the discontinuous regions are effectively found and with the proposed adaptive shape-preserving OPDE, the noise is well eliminated, the shape of fringes and the discontinuity are well kept. The performance of our method is illustrated with three computer-simulated and one experimentally obtained discontinuous ESPI fringe patterns and comparison with related segmentation methods and OPDEs. (C) 2019 Optical Society of America

机译：近年来，噪声和不连续性的滤波和不连续性的滤波是一个具有挑战性的问题。要求不连续性可检测和不连续性感知的处理技术。本文提出了一种基于模糊的C型纤维化的边缘分割方法。通过将FCM聚类方法应用于估计的条纹方向，将不连续的ESPI条纹图案分段为连续段，因此识别不连续区域并且产生不连续区域掩模。然后，将不连续区域掩模引入控制速度函数中，并且提出了一种用于不连续的ESPI条纹图案的偏差模式（OPDE）模型。根据我们的方法，不连续地区被有效地发现并且利用所提出的自适应形状保留OPDE，噪声很好地消除，条纹的形状和不连续性保持良好。我们的方法的性能被三次计算机模拟和一个实验获得的不连续的ESPI条纹图案和与相关分割方法和OPDE进行比较。（c）2019年光学学会

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来源
《Applied optics》 |2019年第6期|共9页
作者
Xu Wenjun; Tang Chen; Xu Min; Lei Zhenkun;
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Tianjin Univ Sch Elect &

Informat Engn Tianjin 300072 Peoples R China;

Tianjin Univ Sch Elect &

Informat Engn Tianjin 300072 Peoples R China;

Tianjin Univ Sch Elect &

Informat Engn Tianjin 300072 Peoples R China;

Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China;

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Fuzzy c-means clustering based segmentation and the filtering method for discontinuous ESPI fringe patterns

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