Incorporating reflection boundary conditions in the Neumann series radiative transport equation: Application to photon propagation and reconstruction in diffuse optical imaging

Abhinav Kumar Jha, Yansong Zhu, Simon Arridge, Dean Foster Wong, Arman Rahmim

Research output: Contribution to journalArticle

Abstract

We propose a formalism to incorporate boundary conditions in a Neumann-seriesbased radiative transport equation. The formalism accurately models the reflection of photons at the tissue-external medium interface using Fresnel’s equations. The formalism was used to develop a gradient descent-based image reconstruction technique. The proposed methods were implemented for 3D diffuse optical imaging. In computational studies, it was observed that the average root-mean-square error (RMSE) for the output images and the estimated absorption coefficients reduced by 38% and 84%, respectively, when the reflection boundary conditions were incorporated. These results demonstrate the importance of incorporating boundary conditions that model the reflection of photons at the tissue-external medium interface.

Original languageEnglish (US)
Article number#304583
Pages (from-to)1389-1407
Number of pages19
JournalBiomedical Optics Express
Volume9
Issue number4
DOIs
StatePublished - Apr 1 2018

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Optical Imaging
Photons
boundary conditions
formalism
Computer-Assisted Image Processing
propagation
photons
root-mean-square errors
descent
image reconstruction
absorptivity
gradients
output

ASJC Scopus subject areas

  • Biotechnology
  • Atomic and Molecular Physics, and Optics

Cite this

Incorporating reflection boundary conditions in the Neumann series radiative transport equation : Application to photon propagation and reconstruction in diffuse optical imaging. / Jha, Abhinav Kumar; Zhu, Yansong; Arridge, Simon; Wong, Dean Foster; Rahmim, Arman.

In: Biomedical Optics Express, Vol. 9, No. 4, #304583, 01.04.2018, p. 1389-1407.

Research output: Contribution to journalArticle

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