González-Rodríguez Pedro, Kim Arnold D
Gregorio Millán Institute, Universidad Carlos III de Madrid, Leganés 28911, Spain.
Applied Mathematics Unit, School of Natural Sciences, University of California, Merced, 5200 North Lake Road, Merced, California, 95343, USA.
Biomed Opt Express. 2015 May 8;6(6):2006-21. doi: 10.1364/BOE.6.002006. eCollection 2015 Jun 1.
We present a computational study of diffuse optical tomography using the one-way radiative transfer equation. The one-way radiative transfer is a simplification of the radiative transfer equation to approximate the transmission of light through tissues. The major simplification of this approximation is that the intensity satisfies an initial value problem rather than a boundary value problem. Consequently, the inverse problem to reconstruct the absorption and scattering coefficients from transmission measurements of scattered light is simplified. Using the initial value problem for the one-way radiative transfer equation to compute the forward model, we are able to quantitatively reconstruct the absorption and scattering coefficients efficiently and effectively for simple problems and obtain reasonable results for complicated problems.
我们提出了一项使用单向辐射传输方程的漫射光学层析成像的计算研究。单向辐射传输是辐射传输方程的一种简化,用于近似光在组织中的传输。这种近似的主要简化在于强度满足一个初值问题而非边值问题。因此,从散射光的传输测量中重建吸收系数和散射系数的逆问题得以简化。利用单向辐射传输方程的初值问题来计算正向模型,我们能够针对简单问题高效且有效地定量重建吸收系数和散射系数,并针对复杂问题获得合理结果。