Fast two-dimensional simultaneous phase unwrapping and low-pass filtering

Here, we present a fast algorithm for two-dimensional (2D) phase unwrapping which behaves as a recursive linear filter. This linear behavior allows us to easily find its frequency response and stability conditions. Previously, we published a robust to noise recursive 2D phase unwrapping system with...

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Detalles Bibliográficos
Autores: Quiroga Mellado, Juan Antonio, Estrada, Julio C., Servín Guirado, Manuel, Navarro, Miguel A.
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/43907
Acceso en línea:https://hdl.handle.net/20.500.14352/43907
Access Level:acceso abierto
Palabra clave:535
Optics
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:Here, we present a fast algorithm for two-dimensional (2D) phase unwrapping which behaves as a recursive linear filter. This linear behavior allows us to easily find its frequency response and stability conditions. Previously, we published a robust to noise recursive 2D phase unwrapping system with smoothing capabilities. But our previous approach was rather heuristic in the sense that not general 2D theory was given. Here an improved and better understood version of our previous 2D recursive phase unwrapper is presented. In addition, a full characterization of it is shown in terms of its frequency response and stability. The objective here is to extend our previous unwrapping algorithm and give a more solid theoretical foundation to it.