Paper
2 September 2009 Phase recovery from interference fringes by Hilbert transform
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Abstract
This paper proposes the use of the Hilbert transform for analysis of fringe patterns, which are obtained in Michelson Interferometer. The fringe patterns are evaluated by Continuous wavelet transform and Hilbert transform algorithms to obtain phase map and refractive index. Continuous wavelet transform algorithm shows a better filtering effect. However Hilbert transform algorithm gives a noisy result, since its frequency spectrum has harmonic noise. Results show that the phase map is affected by Hilbert Filter.
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Zehra Saraç, H. Gülay Birkök, Ahmet Emir, and Ali Dursun "Phase recovery from interference fringes by Hilbert transform", Proc. SPIE 7443, Applications of Digital Image Processing XXXII, 74431I (2 September 2009); https://doi.org/10.1117/12.824866
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KEYWORDS
Refractive index

Continuous wavelet transforms

Fringe analysis

Wavelets

Fourier transforms

Michelson interferometers

Microscopes

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