Anisotropic phase-map denoising using a regularized cost-function with complex-valued Markov-random-fields

In our recently reported work [1] (Villa et al., 2009) we derived a regularized quadratic-cost function, which includes fringe orientation information, for denosing fringe pattern images. In this work we adopt such idea for denoising wrapped phase-maps. We use a regularized cost-function that uses c...

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Bibliographic Details
Authors: Quiroga Mellado, Juan Antonio; Villa Hernández, José de Jesús; Rodríguez-Vera, Ramón; Rosa Vargas, José Ismael de la; González Ramírez, Efrén
Format: Article
Publication date:2010
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/43967
Online Access:https://hdl.handle.net/20.500.14352/43967
Access Level:Open access
Keyword:535
Fringe-Pattern-Analysis
Fourier-Transform
Interferometry
Images
Filter
Radar
Óptica (Física)
2209.19 Óptica Física
Description
Summary:In our recently reported work [1] (Villa et al., 2009) we derived a regularized quadratic-cost function, which includes fringe orientation information, for denosing fringe pattern images. In this work we adopt such idea for denoising wrapped phase-maps. We use a regularized cost-function that uses complex-valued Markov random fields (CMRFs) with orientation information of the filtering direction along isophase lines. The advantage of using an anisotropic filter along isophase lines is that phase and noise can be properly separated while 2 pi phase jumps are preserved even in high frequency zones. Apart from its robustness, the outstanding advantage of our method is its minimal computational effort. We present some results processing simulated and real phase-maps.