title: Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and the delta-mollification phase map method.
abstract: The ordinary differential equation (ODE) and partial differential equation (PDE) image- processing methods have been applied to reduce noise and enhance the contrast of electronic speckle pattern interferometry fringe patterns. We evaluate the performance of a few representative PDE denoising models quantitatively with two parameters called image fidelity and speckle index, and then we choose a good denoising model. Combining this denoising model with the ODE enhancement method, we make it possible to perform contrast enhancement and denoising simultaneously. Second, we introduce the delta-mollification method to smooth the unwrapped phase map. Finally, based on PDE image processing, delta mollification and some traditional techniques, an approach of phase extraction from a single fringe pattern is tested for computer-simulated and experimentally obtained fringe patterns. The method works well under a high noise level and limited visibility and can extract accurate phase values.
authors.affiliation: Department of Applied Physics, University of Tianjin, China. tangchen@tju.edu.cn
authors.forename: Chen
authors.initials: C
authors.lastname: Tang
authors.forename: Fang
authors.initials: F
authors.lastname: Zhang
authors.forename: Botao
authors.initials: B
authors.lastname: Li
authors.forename: Haiqing
authors.initials: H
authors.lastname: Yan