Wavelet analysis of Fourier polarized images of the human bile

Yuriy O. Ushenko; Olexander V. Dubolazov; Artem O. Karachevtsev; Mykhaylo P. Gorsky; Yulya F. Marchuk

doi:10.1364/AO.51.00C133

Applied Optics
Vol. 51,
Issue 10,
pp. C133-C139
(2012)
•https://doi.org/10.1364/AO.51.00C133

Wavelet analysis of Fourier polarized images of the human bile

Yuriy O. Ushenko, Olexander V. Dubolazov, Artem O. Karachevtsev, Mykhaylo P. Gorsky, and Yulya F. Marchuk

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Yuriy O. Ushenko, Olexander V. Dubolazov, Artem O. Karachevtsev, Mykhaylo P. Gorsky, and Yulya F. Marchuk, "Wavelet analysis of Fourier polarized images of the human bile," Appl. Opt. 51, C133-C139 (2012)

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Abstract

The model of generalized optical anisotropy of human bile is suggested, and the method of the polarimetric phase Fourier transform of the image of the laser radiation field that is generated by the mechanisms of linear and circular birefringence of polycrystalline networks with a wavelet-diagnosis of cholelithiasis is analytically substantiated.

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	$Φ (ν, μ)$
Parameters $Z_{i = 1; 2; 3; 4}$	Group 1	Group 2
$Z_{1}$	$0.47 \pm 0.071$	$0.49 \pm 0.074$
$Z_{2}$	$0.33 \pm 0.049$	$0.36 \pm 0.052$
$Z_{3}$	$0.09 \pm 0.01$	$0.11 \pm 0.017$
$Z_{4}$	$0.48 \pm 0.063$	$0.54 \pm 0.069$
$Q_{2}$	$0.17 \pm 0.028$	$0.19 \pm 0.031$
$Q_{4}$	$0.87 \pm 0.12$	$0.69 \pm 0.09$
$V (η)$	Multifr.	Multifr.
$D$	$0.31 \pm 0.052$	$0.33 \pm 0.054$

Parameters	Group 1	Group 2	Sp
$Z_{1}$	$0.012 \pm 0.0019$	$0.016 \pm 0.0028$	56%
$Z_{2}$	$0.17 + 0.027$	$0.14 \pm 0.021$	55%
$Z_{3}$	$0.79 \pm 0.11$	$0.41 \pm 0.078$	74%
$Z_{4}$	$0.57 \pm 0.088$	$1.68 \pm 0.28$	86%
$Q_{2}$	$0.078 \pm 0.012$	$0.092 \pm 0.013$	52%
$Q_{4}$	$3.31 \pm 0.52$	$1.58 \pm 0.22$	79%
$V (η)$	Statistical	Statistical	52%
$D$	$0.37 \pm 0.035$	$0.32 \pm 0.033$	53%

	$Φ (ν, μ)$
Parameters $Z_{i = 1; 2; 3; 4}$	Group 1	Group 2
$Z_{1}$	$0.47 \pm 0.071$	$0.49 \pm 0.074$
$Z_{2}$	$0.33 \pm 0.049$	$0.36 \pm 0.052$
$Z_{3}$	$0.09 \pm 0.01$	$0.11 \pm 0.017$
$Z_{4}$	$0.48 \pm 0.063$	$0.54 \pm 0.069$
$Q_{2}$	$0.17 \pm 0.028$	$0.19 \pm 0.031$
$Q_{4}$	$0.87 \pm 0.12$	$0.69 \pm 0.09$
$V (η)$	Multifr.	Multifr.
$D$	$0.31 \pm 0.052$	$0.33 \pm 0.054$

Parameters	Group 1	Group 2	Sp
$Z_{1}$	$0.012 \pm 0.0019$	$0.016 \pm 0.0028$	56%
$Z_{2}$	$0.17 + 0.027$	$0.14 \pm 0.021$	55%
$Z_{3}$	$0.79 \pm 0.11$	$0.41 \pm 0.078$	74%
$Z_{4}$	$0.57 \pm 0.088$	$1.68 \pm 0.28$	86%
$Q_{2}$	$0.078 \pm 0.012$	$0.092 \pm 0.013$	52%
$Q_{4}$	$3.31 \pm 0.52$	$1.58 \pm 0.22$	79%
$V (η)$	Statistical	Statistical	52%
$D$	$0.37 \pm 0.035$	$0.32 \pm 0.033$	53%

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Equations (12)

Applied Optics