Frequency domain optical tomography in human tissue

Yuqi Yao, Yao Wang, Yaling Pei, Wenwu Zhu, Jenhun Hu, Randall L. Barbour

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a reconstruction algorithm for frequency-domain optical tomography in human tissue is presented. A fast and efficient multigrid finite difference (MGFD) method is adopted as a forward solver to obtain the simulated detector responses and the required imaging operator. The solutions obtained form MGFD method for 3D problems with weakly discontinuous coefficients are compared with analyzed solutions to determine the accuracy of the numerical method. Simultaneous reconstruction of both absorption and scattering coefficients for tissue-like media is accomplished by solving a perturbation equation using the Born approximation. This solution is obtained by a conjugate gradient descent method with Tikhonov regularization. Two examples are given to show the quality of the reconstruction results. Both involve the examination of anatomically accurate optical models of tissue derived from segmented 3D magnetic resonance images to which have been assigned optical coefficients to the designated tissue types. One is a map of a female breast containing two small 'added pathologies', such as tumors. The other is a map of the brain containing a 'local bleeding' area, representing a hemorrhage. The reconstruction results show that the algorithm is computationally practical and can yield qualitatively correct geometry of the objects embedded in the simulated human tissue. Acceptable results are obtained even when 10% noise is present in the data.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsRandall L. Barbour, Mark J. Carvlin, Michael A. Fiddy
Pages254-266
Number of pages13
Volume2570
StatePublished - 1995
EventExperimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications - San Diego, CA, USA
Duration: Jul 10 1995Jul 11 1995

Other

OtherExperimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications
CitySan Diego, CA, USA
Period7/10/957/11/95

Fingerprint

Optical tomography
tomography
Tissue
Finite difference method
Born approximation
hemorrhages
bleeding
scattering coefficients
pathology
descent
Pathology
Magnetic resonance
coefficients
breast
brain
magnetic resonance
Mathematical operators
Tumors
Brain
Numerical methods

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Yao, Y., Wang, Y., Pei, Y., Zhu, W., Hu, J., & Barbour, R. L. (1995). Frequency domain optical tomography in human tissue. In R. L. Barbour, M. J. Carvlin, & M. A. Fiddy (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 2570, pp. 254-266)

Frequency domain optical tomography in human tissue. / Yao, Yuqi; Wang, Yao; Pei, Yaling; Zhu, Wenwu; Hu, Jenhun; Barbour, Randall L.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / Randall L. Barbour; Mark J. Carvlin; Michael A. Fiddy. Vol. 2570 1995. p. 254-266.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yao, Y, Wang, Y, Pei, Y, Zhu, W, Hu, J & Barbour, RL 1995, Frequency domain optical tomography in human tissue. in RL Barbour, MJ Carvlin & MA Fiddy (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 2570, pp. 254-266, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, San Diego, CA, USA, 7/10/95.
Yao Y, Wang Y, Pei Y, Zhu W, Hu J, Barbour RL. Frequency domain optical tomography in human tissue. In Barbour RL, Carvlin MJ, Fiddy MA, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 2570. 1995. p. 254-266
Yao, Yuqi ; Wang, Yao ; Pei, Yaling ; Zhu, Wenwu ; Hu, Jenhun ; Barbour, Randall L. / Frequency domain optical tomography in human tissue. Proceedings of SPIE - The International Society for Optical Engineering. editor / Randall L. Barbour ; Mark J. Carvlin ; Michael A. Fiddy. Vol. 2570 1995. pp. 254-266
@inproceedings{35d1286fb4e04c77ab79268bd7951e87,
title = "Frequency domain optical tomography in human tissue",
abstract = "In this paper, a reconstruction algorithm for frequency-domain optical tomography in human tissue is presented. A fast and efficient multigrid finite difference (MGFD) method is adopted as a forward solver to obtain the simulated detector responses and the required imaging operator. The solutions obtained form MGFD method for 3D problems with weakly discontinuous coefficients are compared with analyzed solutions to determine the accuracy of the numerical method. Simultaneous reconstruction of both absorption and scattering coefficients for tissue-like media is accomplished by solving a perturbation equation using the Born approximation. This solution is obtained by a conjugate gradient descent method with Tikhonov regularization. Two examples are given to show the quality of the reconstruction results. Both involve the examination of anatomically accurate optical models of tissue derived from segmented 3D magnetic resonance images to which have been assigned optical coefficients to the designated tissue types. One is a map of a female breast containing two small 'added pathologies', such as tumors. The other is a map of the brain containing a 'local bleeding' area, representing a hemorrhage. The reconstruction results show that the algorithm is computationally practical and can yield qualitatively correct geometry of the objects embedded in the simulated human tissue. Acceptable results are obtained even when 10{\%} noise is present in the data.",
author = "Yuqi Yao and Yao Wang and Yaling Pei and Wenwu Zhu and Jenhun Hu and Barbour, {Randall L.}",
year = "1995",
language = "English (US)",
isbn = "081941929X",
volume = "2570",
pages = "254--266",
editor = "Barbour, {Randall L.} and Carvlin, {Mark J.} and Fiddy, {Michael A.}",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Frequency domain optical tomography in human tissue

AU - Yao, Yuqi

AU - Wang, Yao

AU - Pei, Yaling

AU - Zhu, Wenwu

AU - Hu, Jenhun

AU - Barbour, Randall L.

PY - 1995

Y1 - 1995

N2 - In this paper, a reconstruction algorithm for frequency-domain optical tomography in human tissue is presented. A fast and efficient multigrid finite difference (MGFD) method is adopted as a forward solver to obtain the simulated detector responses and the required imaging operator. The solutions obtained form MGFD method for 3D problems with weakly discontinuous coefficients are compared with analyzed solutions to determine the accuracy of the numerical method. Simultaneous reconstruction of both absorption and scattering coefficients for tissue-like media is accomplished by solving a perturbation equation using the Born approximation. This solution is obtained by a conjugate gradient descent method with Tikhonov regularization. Two examples are given to show the quality of the reconstruction results. Both involve the examination of anatomically accurate optical models of tissue derived from segmented 3D magnetic resonance images to which have been assigned optical coefficients to the designated tissue types. One is a map of a female breast containing two small 'added pathologies', such as tumors. The other is a map of the brain containing a 'local bleeding' area, representing a hemorrhage. The reconstruction results show that the algorithm is computationally practical and can yield qualitatively correct geometry of the objects embedded in the simulated human tissue. Acceptable results are obtained even when 10% noise is present in the data.

AB - In this paper, a reconstruction algorithm for frequency-domain optical tomography in human tissue is presented. A fast and efficient multigrid finite difference (MGFD) method is adopted as a forward solver to obtain the simulated detector responses and the required imaging operator. The solutions obtained form MGFD method for 3D problems with weakly discontinuous coefficients are compared with analyzed solutions to determine the accuracy of the numerical method. Simultaneous reconstruction of both absorption and scattering coefficients for tissue-like media is accomplished by solving a perturbation equation using the Born approximation. This solution is obtained by a conjugate gradient descent method with Tikhonov regularization. Two examples are given to show the quality of the reconstruction results. Both involve the examination of anatomically accurate optical models of tissue derived from segmented 3D magnetic resonance images to which have been assigned optical coefficients to the designated tissue types. One is a map of a female breast containing two small 'added pathologies', such as tumors. The other is a map of the brain containing a 'local bleeding' area, representing a hemorrhage. The reconstruction results show that the algorithm is computationally practical and can yield qualitatively correct geometry of the objects embedded in the simulated human tissue. Acceptable results are obtained even when 10% noise is present in the data.

UR - http://www.scopus.com/inward/record.url?scp=0029505581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029505581&partnerID=8YFLogxK

M3 - Conference contribution

SN - 081941929X

SN - 9780819419293

VL - 2570

SP - 254

EP - 266

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Barbour, Randall L.

A2 - Carvlin, Mark J.

A2 - Fiddy, Michael A.

ER -