A simple method for phase wraps elimination or reduction in spatial fringe patterns
Autor: | Francis Lilley, David R. Burton, Munther A. Gdeisat, Mohammed Qudeisat |
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Rok vydání: | 2011 |
Předmět: |
business.industry
Adaptive-additive algorithm Noise (signal processing) Computer science Short-time Fourier transform Phase (waves) Atomic and Molecular Physics and Optics Fractional Fourier transform Electronic Optical and Magnetic Materials symbols.namesake Optics Fourier transform Phase correlation symbols Inverse trigonometric functions Electrical and Electronic Engineering Physical and Theoretical Chemistry business |
Zdroj: | Optics Communications. 284:5105-5109 |
ISSN: | 0030-4018 |
DOI: | 10.1016/j.optcom.2011.07.024 |
Popis: | In this paper, we propose a simple method for processing a 2D wrapped phase map that contains a spatial carrier signal in order to completely eliminate, or greatly reduce, the number of phase wraps in the image. The 2D Fourier transform of the wrapped phase map is calculated. Then the spectrum is shifted to the origin in frequency space. After that, the inverse 2D Fourier transform is computed. Finally, a four-quadrant arctangent function is used to calculate the angle of the complex array that was produced by the inverse 2D Fourier transform. This produces a phase map with a smaller number of 2π phase jumps than the original phase map. In some cases, all of the phase wraps are eliminated and there is therefore no need to unwrap the resultant phase map. The reduction of the number of 2π phase jumps can reduce the execution time and improve the noise performance of some phase unwrapping algorithms such as the Flynn method. The validation of the proposed algorithm is demonstrated experimentally and also via computer-simulation. |
Databáze: | OpenAIRE |
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