Li Cancan, Tang Chen, Yan Haiqing, Wang Linlin, Zhang Hao
Department of Applied Physics, University of Tianjin, Tianjin, 300072, China.
Appl Opt. 2011 Aug 20;50(24):4903-11. doi: 10.1364/AO.50.004903.
This article is concerned with frequency filtering for electronic speckle pattern interferometry wrapped phase patterns. We propose a robust localized Fourier transform filter which is an extension of the root filtering method (RFM). We improve the RFM from a simple technical process and a filter function in the frequency domain. In our method, the proposed filter function is taken as the power spectrum of the convolution of an image and a Gaussian function to the power α. We test the proposed method on two computer-simulated wrapped phase fringe patterns and one experimentally obtained wrapped phase pattern, and compare our models with the widely used, well-known RFM and windowed Fourier filtering (WFF). The experimental results have demonstrated that our localized Fourier transform filter outperforms the RFM and is comparable to WFF. Our method depends on fewer parameters, as compared with WFF, and can achieve a better balance between the computational complexity and the filtered results.
本文关注电子散斑干涉包裹相位图的频率滤波。我们提出了一种稳健的局部傅里叶变换滤波器，它是根滤波方法（RFM）的扩展。我们从一个简单的技术过程和频域中的滤波函数对RFM进行了改进。在我们的方法中，所提出的滤波函数被视为图像与高斯函数卷积的幂谱的α次方。我们在两个计算机模拟的包裹相位条纹图和一个实验获得的包裹相位图上测试了所提出的方法，并将我们的模型与广泛使用的著名RFM和加窗傅里叶滤波（WFF）进行了比较。实验结果表明，我们的局部傅里叶变换滤波器优于RFM，与WFF相当。与WFF相比，我们的方法依赖的参数更少，并且可以在计算复杂度和滤波结果之间实现更好的平衡。
