We derive the second-order oriented partial-differential equations (PDEs) for denoising in electronic-speckle-pattern interferometry fringe patterns from two points of view. The first is based on variational methods, and the second is based on controlling diffusion direction. Our oriented PDE models make the diffusion along only the fringe orientation. The main advantage of our filtering method, based on oriented PDE models, is that it is very easy to implement compared with the published filtering methods along the fringe orientation. We demonstrate the performance of our oriented PDE models via application to two computer-simulated and experimentally obtained speckle fringes and compare with related PDE models.
© 2008 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: June 12, 2008
Revised Manuscript: August 14, 2008
Manuscript Accepted: August 20, 2008
Published: September 22, 2008
Chen Tang, Lin Han, Hongwei Ren, Dongjian Zhou, Yiming Chang, Xiaohang Wang, and Xiaolong Cui, "Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes," Opt. Lett. 33, 2179-2181 (2008)