title: Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes.
abstract: 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.
authors.affiliation: Department of Applied Physics, University of Tianjin, Tianjin, China. tangchen@tju.edu.cn
authors.forename: Chen
authors.initials: C
authors.lastname: Tang
authors.forename: Lin
authors.initials: L
authors.lastname: Han
authors.forename: Hongwei
authors.initials: H
authors.lastname: Ren
authors.forename: Dongjian
authors.initials: D
authors.lastname: Zhou
authors.forename: Yiming
authors.initials: Y
authors.lastname: Chang
authors.forename: Xiaohang
authors.initials: X
authors.lastname: Wang
authors.forename: Xiaolong
authors.initials: X
authors.lastname: Cui