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Improvement of the frequency-domain inverse Monte Carlo simulation

机译：频域逆蒙特卡罗仿真的改进

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摘要

This article aims at the optical property (absorption coefficient and scatter coefficient) reconstruction from the frequency-domain (FD) near-infrared diffuse measurement on small tissues, such as a cervix, for which inverse Monte Carlo (MC) simulation is the suitable choice. To achieve the fast and accurate reconstruction based on the inverse Monte Carlo simulation, following techniques were adopted. First, in the forward calculation, a database, which include the frequency-domain information calculated from MC simulation for a series of optical parameters of tissue, were established with fast methods. Then, in the reconstruction procedure, Levenberg-Marquardt (L-M) optimization was adopted and Multiple Polynomial Regression (MPR) method was used to rapidly get the FD information at any optical properties by best fitting the curved surface formed by the above database. At Last, in the reconstruction, to eliminate the influence of the initial guess of optical properties on the reconstruction accuracy, cluster analysis method was introduced into L-M reconstruction algorithm to determine the region of the initial guess. The reconstruction algorithm was demonstrated with simulation data. The results showed that it takes less than 0.5s to reconstruction one set of optical properties. The average relative error from the reconstruction algorithm joined with cluster analysis is 10% lower than that without cluster analysis.
机译：本文旨在通过对子宫颈等小组织进行频域（FD）近红外漫射测量来重建光学特性（吸收系数和散射系数），对此，逆蒙特卡洛（MC）模拟是合适的选择。为了基于逆蒙特卡洛模拟实现快速准确的重建，采用了以下技术。首先，在正向计算中，使用快速方法建立了一个数据库，该数据库包括通过MC模拟为组织的一系列光学参数计算出的频域信息。然后，在重建过程中，采用Levenberg-Marquardt（L-M）优化，并使用多元多项式回归（MPR）方法通过最佳拟合上述数据库形成的曲面来快速获取任何光学性质的FD信息。最后，在重建中，为了消除光学特性的初始猜测对重建精度的影响，在L-M重建算法中引入了聚类分析方法来确定初始猜测的区域。仿真数据演示了该重建算法。结果表明，重建一组光学性能所需的时间不到0.5s。结合聚类分析的重构算法的平均相对误差比没有聚类分析的平均相对误差低10％。

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