In this paper, we are concerned with denoising in experimentally obtained electronic speckle pattern interferometry (ESPI) speckle fringe patterns with poor quality. We extend the application of two existing oriented partial differential equation (PDE) filters, including the second-order single oriented PDE filter and the double oriented PDE filter, to two experimentally obtained ESPI speckle fringe patterns with very poor quality, and compare them with other efficient filtering methods, including the adaptive weighted filter, the improved nonlinear complex diffusion PDE, and the windowed Fourier transform method. All of the five filters have been illustrated to be efficient denoising methods through previous comparative analyses in published papers. The experimental results have demonstrated that the two oriented PDE models are applicable to low-quality ESPI speckle fringe patterns. Then for solving the main shortcoming of the two oriented PDE models, we develop the numerically fast algorithms based on Gauss–Seidel strategy for the two oriented PDE models. The proposed numerical algorithms are capable of accelerating the convergence greatly, and perform significantly better in terms of computational efficiency. Our numerically fast algorithms are extended automatically to some other PDE filtering models.
© 2013 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: October 12, 2012
Manuscript Accepted: February 4, 2013
Published: March 13, 2013
Xinjun Zhu, Zhanqing Chen, Chen Tang, Qinghua Mi, and Xiusheng Yan, "Application of two oriented partial differential equation filtering models on speckle fringes with poor quality and their numerically fast algorithms," Appl. Opt. 52, 1814-1823 (2013)