In this paper, we first present the general description for partial differential equations (PDEs) based image processing methods, including the basic idea, the main advantages and disadvantages, a few representative PDE models, and the derivation of PDE models. Then we review our contributions on PDE-based anisotropic filtering methods for electronic speckle pattern interferometry, including the second-order, fourth-order, and coupled nonoriented PDE filtering models and the second-order and coupled nonlinear oriented PDE filtering models. We have summarized the features of each model.
© 2012 Optical Society of America
Original Manuscript: November 16, 2011
Revised Manuscript: May 22, 2012
Manuscript Accepted: May 28, 2012
Published: July 10, 2012
Chen Tang, Linlin Wang, and Haiqing Yan, "Overview of anisotropic filtering methods based on partial differential equations for electronic speckle pattern interferometry," Appl. Opt. 51, 4916-4926 (2012)