Mueller decomposition images for cervical tissue: Potential for discriminating normal and dysplastic states

Prashant Shukla; Asima Pradhan

doi:10.1364/OE.17.001600

Mueller decomposition images for cervical tissue: Potential for discriminating normal and dysplastic states

Prashant Shukla and Asima Pradhan

Optics Express
Vol. 17,
Issue 3,
pp. 1600-1609
(2009)
•https://doi.org/10.1364/OE.17.001600

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Prashant Shukla and Asima Pradhan, "Mueller decomposition images for cervical tissue: Potential for discriminating normal and dysplastic states," Opt. Express 17, 1600-1609 (2009)

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Related Topics
Table of Contents Category
- Medical Optics and Biotechnology
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Imaging through turbid media (110.0113)
- Tissue (170.6930)
- Scattering (290.0290)
- Turbid media (290.7050)
- Scattering, polarization (290.5855)

About this Article
History
- Original Manuscript: November 21, 2008
- Revised Manuscript: January 16, 2009
- Manuscript Accepted: January 22, 2009
- Published: January 27, 2009
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 4, Iss. 4

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Open Access

Abstract

We report the potential of Mueller decomposition images to discriminate the normal against the dysplastic (precancerous) states in cervical tissue. It is observed that in the epithelium region, depolarization power is sensitive to morphological changes during progression from normal to dysplastic state while retardance and diattenuation do not show any significant change. These morphological changes have been correlated with the microscopic images of the tissues. In contrast, it is the retardance which reveals the morphological changes around the stromal region. Additionally, we have evaluated the arithmetic mean of depolarization power and retardance from their respective decomposed images and have shown that this parameter has a potential to discriminate normal tissues against dysplastic ones.

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References

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|
Year
|
Author
|
Publication

R. S. Cotran, V. Kumar, and S. L. Robbins, Robbins Pathologic Basis of Disease (W.B. Saunders Company, 1989), Chap. 24.
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[Crossref]
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[Crossref] [PubMed]
S.Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106 – 1113 (1996).
[Crossref]
J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29, 2234 – 2236 (2004).
[Crossref] [PubMed]
B. D. Cameron, M. J. Rakovic, M. Mehrubeoglu, G. W. Kattawar, S. Rastegar, L.V. Wang, and G. L. Cote, “Measurement and calculation of the two-dimensional backscattering matrix of a turbid medium,” Opt. Lett. 23, 485 – 487 (1998).
[Crossref]
B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]
S. Firdous and M. Ikram, “Characterization of turbid medium through diffusely backscattering polarized light with matrix calculus-II,” in Proceedings of IEEE Conference on International Networking and Communication (INCC2004) pp. 115 – 123.
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[Crossref]
G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]
I. Berezhnyy and A. Dogariu, “Time resolved Mueller matrix imaging polarimetry,” Opt. Express 12, 4635 – 4649 (2004).
[Crossref] [PubMed]
J. Dillet, C. Baravian, F. Caton, and A. Parker, “Size determination by use of two-dimensional Mueller matrices backscattered by optically thick random media,” Appl. Opt. 45, 4669 – 4677 (2006).
[Crossref] [PubMed]
M. K. Swami, S. Manhas, P. Buddhiwant, N. Ghosh, A. Uppal, and P.K. Gupta, “Polar decomposition of 3×3 Mueller matrix: a tool for quantitative tissue polarimetry,” Opt. Express 14, 9324 – 9337 (2006).
[Crossref] [PubMed]
M. Anastasiadou, A. De Martino, D. Clement, F. Liège, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, “Polarimetric imaging for the diagnosis of cervical cancer,” Phys. Stat. Sol. (C) 5, 1423–1426 426 (2008).
[Crossref]

2008 (1)

M. Anastasiadou, A. De Martino, D. Clement, F. Liège, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, “Polarimetric imaging for the diagnosis of cervical cancer,” Phys. Stat. Sol. (C) 5, 1423–1426 426 (2008).
[Crossref]

2007 (3)

D. Arifler, I. Pavlova, A. Gillenwater, and R. R. Kortum, “Light Scattering from Collagen Fiber Networks: Micro-Optical Properties of Normal and Neoplastic Stroma,” J. Biophys. 92, 3260 – 3274 (2007).
[Crossref]

Y. Deng, Q. Lu, Q. Luo, and S. Zeng, “Third order scattering model for the diffuse backscattering intensity patterns of polarized light from a turbid medium,” Appl. Phy. Lett. 90, 153902 (1) –153902 (3) (2007).
[Crossref]

Y. Deng, S. Zeng, Q. Lu, D. Zhu, and Q. Luo, “Characterization of back scattering muller matrix patterns of highly scattering media with triple scattering assumption,” Opt. Express 15, 9672 – 9680 (2007).
[Crossref] [PubMed]

2006 (2)

J. Dillet, C. Baravian, F. Caton, and A. Parker, “Size determination by use of two-dimensional Mueller matrices backscattered by optically thick random media,” Appl. Opt. 45, 4669 – 4677 (2006).
[Crossref] [PubMed]

M. K. Swami, S. Manhas, P. Buddhiwant, N. Ghosh, A. Uppal, and P.K. Gupta, “Polar decomposition of 3×3 Mueller matrix: a tool for quantitative tissue polarimetry,” Opt. Express 14, 9324 – 9337 (2006).
[Crossref] [PubMed]

2004 (2)

I. Berezhnyy and A. Dogariu, “Time resolved Mueller matrix imaging polarimetry,” Opt. Express 12, 4635 – 4649 (2004).
[Crossref] [PubMed]

J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29, 2234 – 2236 (2004).
[Crossref] [PubMed]

2002 (1)

G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]

2001 (1)

B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]

2000 (1)

V. Backman, M. B. Wallace, L. T. Perelman, J. T. Arendt, R. Gurjar, M. G. Muller, Q. Zhang, G. Zonios, E. Kline, T. McGillican, S. Shapshay, T. Valdez, K. Badizadegan, J. M. Crawford, M. Fitzmaurice, S. Kabani, H. S. Levin, M. Seiler, R. R. Dasari, I. Itzkan, J. van Dam, and M. S. Feld, “Detection of preinvasive cancer cells,” Nature 406, 35 – 36 (2000).
[Crossref] [PubMed]

Anastasiadou, M.

Arendt, J. T.

Arifler, D.

Backman, V.

Badizadegan, K.

Baravian, C.

Berezhnyy, I.

I. Berezhnyy and A. Dogariu, “Time resolved Mueller matrix imaging polarimetry,” Opt. Express 12, 4635 – 4649 (2004).
[Crossref] [PubMed]

Bigio, I. J.

Buddhiwant, P.

Cameron, B. D.

G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]

Caton, F.

Chipman, R. A.

S.Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106 – 1113 (1996).
[Crossref]

Clement, D.

Cohen, H.

Cote, G. L

Cote, G. L.

Cotran, R. S.

R. S. Cotran, V. Kumar, and S. L. Robbins, Robbins Pathologic Basis of Disease (W.B. Saunders Company, 1989), Chap. 24.

Crawford, J. M.

Dam, J. van

Dasari, R. R.

Deng, Y.

Dillet, J.

Dogariu, A.

I. Berezhnyy and A. Dogariu, “Time resolved Mueller matrix imaging polarimetry,” Opt. Express 12, 4635 – 4649 (2004).
[Crossref] [PubMed]

Drevillon, B.

B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]

Dreyfuss, J.

Eick, A. A.

Feld, M. S.

Firdous, S.

S. Firdous and M. Ikram, “Characterization of turbid medium through diffusely backscattering polarized light with matrix calculus-II,” in Proceedings of IEEE Conference on International Networking and Communication (INCC2004) pp. 115 – 123.

Fitzmaurice, M.

Freyer, J. P.

Ghosh, N.

Gillenwater, A.

Goudail, F.

J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29, 2234 – 2236 (2004).
[Crossref] [PubMed]

Gupta, P.K.

Gurjar, R.

Hielscher, A. H.

Huynh, B.

Ikram, M.

Itzkan, I.

Kabani, S.

Kaplan, B.

B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]

Kattawar, G. W.

Kline, E.

Kortum, R. R.

Kumar, V.

R. S. Cotran, V. Kumar, and S. L. Robbins, Robbins Pathologic Basis of Disease (W.B. Saunders Company, 1989), Chap. 24.

Laude-Boulesteix, B.

ledanois, G.

B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]

Levin, H. S.

Li, Y.

G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]

Liège, F.

Liu, G. L.

G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]

Lu, Q.

Lu, S.Y.

S.Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106 – 1113 (1996).
[Crossref]

Luo, Q.

Manhas, S.

Martino, A. De

McGillican, T.

Mehrubeoglu, M.

Morio, J.

J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29, 2234 – 2236 (2004).
[Crossref] [PubMed]

Mourant, J. R.

Muller, M. G.

Nazac, A.

Parker, A.

Pavlova, I.

Perelman, L. T.

Quang, N.

Rakovic, M. J.

Rastegar, S.

Robbins, S. L.

R. S. Cotran, V. Kumar, and S. L. Robbins, Robbins Pathologic Basis of Disease (W.B. Saunders Company, 1989), Chap. 24.

Schwartz, L.

Seiler, M.

Shapshay, S.

Shen, D.

Swami, M. K.

Uppal, A.

Valdez, T.

Wallace, M. B.

Wang, L. V.

Wang, L.V.

Zeng, S.

Zhang, Q.

Zhu, D.

Zonios, G.

Appl. Opt. (4)

B. Kaplan, G. ledanois, and B. Drevillon, “Mueller matrix of dense polystyrene latex sphere suspension: measurements and monte Carlo simulation,” Appl. Opt. 40, 2769 – 2777 (2001).
[Crossref]

Appl. Phy. Lett. (1)

J. Biophys. (1)

J. Opt. Soc. Am. A (1)

S.Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106 – 1113 (1996).
[Crossref]

Nature (1)

Opt. Express (4)

I. Berezhnyy and A. Dogariu, “Time resolved Mueller matrix imaging polarimetry,” Opt. Express 12, 4635 – 4649 (2004).
[Crossref] [PubMed]

Opt. Lett. (2)

J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29, 2234 – 2236 (2004).
[Crossref] [PubMed]

Phys. Stat. Sol. (C) (1)

Proc. SPIE (1)

G. L. Liu, Y. Li, and B. D. Cameron, “Polarization Based Optical imaging and processing techniques with application to the Cancer Diagnostics,” Proc. SPIE 4617, 208 – 219(2002).
[Crossref]

Other (2)

R. S. Cotran, V. Kumar, and S. L. Robbins, Robbins Pathologic Basis of Disease (W.B. Saunders Company, 1989), Chap. 24.

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Fig. 1.

(a) Mueller image M₀₀ and (b) the microscopic image of a dysplastic cervical tissue for the entire illuminated region.

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Fig. 2.

Images of (a) depolarization power (b) diattenuation (c) retardance of a dysplastic cervical tissue section for the entire illuminated region.

Download Full Size | PPT Slide | PDF

Fig. 3.

Typical depolarization power images of (a) normal and (b) dysplastic state in the epithelium region of the cervical tissue section.

Download Full Size | PPT Slide | PDF

Fig. 4.

Microscopic images of epithelial layer of (a) normal and (b) dysplastic state.

Download Full Size | PPT Slide | PDF

Fig. 5.

Typical retardance images of (a) normal and (b) dysplastic state in the stromal region of the cervical tissue section.

Download Full Size | PPT Slide | PDF

Fig. 6.

(a) Mean value of depolarization power for the epithelium region and (b) mean value of retardance for the stromal region.

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Equations (21)

Equations on this page are rendered with MathJax. Learn more.

M = (\begin{matrix} m_{00} & m_{01} & m_{02} & m_{03} \\ m_{10} & m_{11} & m_{12} & m_{13} \\ m_{20} & m_{21} & m_{22} & m_{23} \\ m_{30} & m_{31} & m_{32} & m_{33} \end{matrix})

M = M_{Δ} M_{R} M_{D}

D = \frac{{(m_{01}^{2} + m_{02}^{2} + m_{03}^{3})}^{1 / 2}}{m_{00}}

\vec{D} = \frac{1}{m_{00}} (\begin{matrix} m_{01} \\ m_{02} \\ m_{03} \end{matrix})

M_{D} = (\begin{matrix} 1 & \vec{D^{T}} \\ \vec{D} & m_{D} \end{matrix})

m_{D} = \sqrt{1 - D^{2} I} + (1 - \sqrt{1 - D^{2}}) \hat{D} {\hat{D}}^{T}

M' = M M_{D}^{- 1}

M_{Δ} M_{R} = (\begin{matrix} 1 & \vec{0} \\ \vec{P_{Δ}} & m_{Δ} \end{matrix}) (\begin{matrix} 1 & \vec{0} \\ \vec{0} & m_{R} \end{matrix})

= (\begin{matrix} 1 & \vec{0} \\ \vec{P_{Δ}} & m_{Δ} m_{R} \end{matrix}) (\begin{matrix} 1 & \vec{0} \\ \vec{P_{Δ}} & m^{|} \end{matrix})

= M'

{\vec{P}}_{Δ} = \frac{\vec{P} - m \vec{D}}{1 - D^{2}}

m' = m_{Δ} m_{R}

\vec{P} = \frac{1}{m_{00}} (\begin{matrix} m_{10} \\ m_{20} \\ m_{30} \end{matrix})

m_{Δ} = \pm {[m' {(m')}^{T} + {(λ_{1} λ_{2} + λ_{2} λ_{3} + λ_{3} λ_{1})}^{1 / 2} I]}^{- 1}

\times [{{(λ_{1})}^{1 / 2} + {(λ_{2})}^{1 / 2} + {(λ_{3})}^{1 / 2}} m' {(m')}^{T} + {(λ_{1} λ_{2} λ_{3})}^{1 / 2} I]

Δ = 1 - \frac{∣ tr (M_{Δ}) - 1 ∣}{3}

M_{R} = M_{Δ}^{- 1} M'

R = \cos^{- 1} [\frac{tr (M_{R})}{2} - 1]

D = \frac{1}{m_{00}} {[m_{01}^{2} + m_{02}^{2} + m_{03}^{2}]}^{1 / 2}

Δ = 1 - \frac{∣ tr (M_{Δ}) - 1 ∣}{3}

R = \cos^{- 1} [\frac{tr (M_{R})}{2} - 1]

Abstract

References

2008 (1)

2007 (3)

2006 (2)

2004 (2)

2002 (1)

2001 (1)

2000 (1)

1999 (1)

1998 (1)

1997 (2)

1996 (1)

Anastasiadou, M.

Arendt, J. T.

Arifler, D.

Backman, V.

Badizadegan, K.

Baravian, C.

Berezhnyy, I.

Bigio, I. J.

Buddhiwant, P.

Cameron, B. D.

Caton, F.

Chipman, R. A.

Clement, D.

Cohen, H.

Cote, G. L

Cote, G. L.

Cotran, R. S.

Crawford, J. M.

Dam, J. van

Dasari, R. R.

Deng, Y.

Dillet, J.

Dogariu, A.

Drevillon, B.

Dreyfuss, J.

Eick, A. A.

Feld, M. S.

Firdous, S.

Fitzmaurice, M.

Freyer, J. P.

Ghosh, N.

Gillenwater, A.

Goudail, F.

Gupta, P.K.

Gurjar, R.

Hielscher, A. H.

Huynh, B.

Ikram, M.

Itzkan, I.

Kabani, S.

Kaplan, B.

Kattawar, G. W.

Kline, E.

Kortum, R. R.

Kumar, V.

Laude-Boulesteix, B.

ledanois, G.

Levin, H. S.

Li, Y.

Liège, F.

Liu, G. L.

Lu, Q.

Lu, S.Y.

Luo, Q.

Manhas, S.

Martino, A. De

McGillican, T.

Mehrubeoglu, M.

Morio, J.

Mourant, J. R.

Muller, M. G.

Nazac, A.

Parker, A.

Pavlova, I.

Perelman, L. T.

Quang, N.

Rakovic, M. J.