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 out performs 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.
© 2011 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: April 6, 2011
Revised Manuscript: July 15, 2011
Manuscript Accepted: July 15, 2011
Published: August 19, 2011
Cancan Li, Chen Tang, Haiqing Yan, Linlin Wang, and Hao Zhang, "Localized Fourier transform filter for noise removal in electronic speckle pattern interferometry wrapped phase patterns," Appl. Opt. 50, 4903-4911 (2011)