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Simultaneous mapping of absorption and scattering coefficients from a three-dimensional model of time-resolved optical tomography

机译:从时间分辨光学层析成像的三维模型同时绘制吸收系数和散射系数

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A Newton-Raphson inversion algorithm has been extended for simultaneous absorption and scattering reconstruction of fully three-dimensional (3D) diffuse optical tomographic imaging from time-resolved measurements. The proposed algorithm is derived from the efficient computation of the Jacobian matrix of the forward model and uses either the algebraic reconstruction technique or truncated singular-value decomposition as the linear inversion tool. Its validation was examined with numerically simulated data from 3-D finite-element discretization models of tissuelike phantoms, with several combinations of geometric and optical properties, as well as two commonly used source-detector configurations. Our results show that the fully 3-D image reconstruction of an object can be achieved with reasonable quality when volumetric light propagation in tissues is considered, and temporal information from the measurements can be effectively employed. Also, we investigated the conditions under which 3-D issues could be approximately addressed with two-dimensional reconstruction algorithms and further demonstrated that these conditions are seldom predictable or attainable in practice. Thus the application of 3-D algorithms to realistic situations is necessary.
机译:Newton-Raphson反演算法已经扩展,可以同时从时间分辨测量中对全三维(3D)漫射光学层析成像进行吸收和散射重建。该算法是从前向模型的雅可比矩阵的有效计算中得出的,并使用代数重建技术或截断奇异值分解作为线性反演工具。它的验证是用来自组织样体模的3-D有限元离散模型的数值模拟数据进行检验的,该模型具有几何和光学特性的几种组合,以及两种常用的源探测器配置。我们的结果表明,当考虑组织中的体积光传播时,可以以合理的质量实现对象的全3D图像重建,并且可以有效地使用来自测量的时间信息。此外,我们研究了二维重构算法可大致解决3-D问题的条件,并进一步证明了这些条件在实践中很少可预测或无法实现。因此,必须将3D算法应用于现实情况。

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