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

Abhinav K. Jha, Yansong Zhu, Simon Arridge, Dean F. Wong, Arman Rahmim

Research output: Contribution to journalArticlepeer-review

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

ASJC Scopus subject areas

  • Biotechnology
  • Atomic and Molecular Physics, and Optics

Fingerprint

Dive into the research topics of 'Incorporating reflection boundary conditions in the Neumann series radiative transport equation: Application to photon propagation and reconstruction in diffuse optical imaging'. Together they form a unique fingerprint.

Cite this