A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue

Yuqi Yao, Yaling Pei, Yao Wang, Randall L. Barbour

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

Abstract

In this paper, we present a Born-Type iterative algorithm for reconstruction of absorption and diffusion coefficient distributions of a heterogeneous scattering medium. This method is derived based on the integral form of the diffusion equation for the photon flux. It takes into account the nonlinear nature of the problem by using an iterative perturbation approach. Within each iteration, the forward problem (update of the total field and Green's function) is solved by the finite element method (FEM), and the inverse problem (update of the medium properties) is obtained by a regularized least squares method. This method has been used to reconstruct "pathologies" embedded in an inhomogeneous test medium simulating a normal female breast from frequency domain data. The test medium is constructed by assigning optical coefficients according to a MR derived anatomical map. Our simulation results show that the algorithm is computationally practical and can yield qualitatively and quantitatively correct absorption and scattering distributions of embedded objects from simulated data with up to 5% additive noise in the simulated measurement data.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsB. Chance, R.R. Alfano, A. Katzir
Pages232-240
Number of pages9
Volume2979
DOIs
StatePublished - 1997
EventProceedings of Optical Tomography and Spectroscopy of Tissue: Theory, Instrumentation, Model and Human Studies II - San Jose, CA, United States
Duration: Feb 9 1997Feb 12 1997

Other

OtherProceedings of Optical Tomography and Spectroscopy of Tissue: Theory, Instrumentation, Model and Human Studies II
CountryUnited States
CitySan Jose, CA
Period2/9/972/12/97

Fingerprint

Iterative methods
breast
Scattering
Tissue
Imaging techniques
Additive noise
Pathology
Inverse problems
scattering
Green's function
Photons
Fluxes
Finite element method
pathology
least squares method
iteration
absorptivity
finite element method
Green's functions
diffusion coefficient

Keywords

  • Born approximation
  • CGD method
  • Diffusion model
  • Finite element method
  • Image reconstruction
  • Inverse scattering
  • Optical imaging

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Yao, Y., Pei, Y., Wang, Y., & Barbour, R. L. (1997). A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue. In B. Chance, R. R. Alfano, & A. Katzir (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 2979, pp. 232-240) https://doi.org/10.1117/12.280250

A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue. / Yao, Yuqi; Pei, Yaling; Wang, Yao; Barbour, Randall L.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / B. Chance; R.R. Alfano; A. Katzir. Vol. 2979 1997. p. 232-240.

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

Yao, Y, Pei, Y, Wang, Y & Barbour, RL 1997, A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue. in B Chance, RR Alfano & A Katzir (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 2979, pp. 232-240, Proceedings of Optical Tomography and Spectroscopy of Tissue: Theory, Instrumentation, Model and Human Studies II, San Jose, CA, United States, 2/9/97. https://doi.org/10.1117/12.280250
Yao Y, Pei Y, Wang Y, Barbour RL. A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue. In Chance B, Alfano RR, Katzir A, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 2979. 1997. p. 232-240 https://doi.org/10.1117/12.280250
Yao, Yuqi ; Pei, Yaling ; Wang, Yao ; Barbour, Randall L. / A Born Type iterative method for imaging of heterogeneous scattering media and its application to simulated breast tissue. Proceedings of SPIE - The International Society for Optical Engineering. editor / B. Chance ; R.R. Alfano ; A. Katzir. Vol. 2979 1997. pp. 232-240
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