基于离散路径积分的光学层析成像。
Optical tomography with discretized path integral.
作者信息
Yuan Bingzhi, Tamaki Toru, Kushida Takahiro, Mukaigawa Yasuhiro, Kubo Hiroyuki, Raytchev Bisser, Kaneda Kazufumi
机构信息
Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
Graduate School of Information Science , NAIST, 8916-5, Takayama, Ikoma, Nara 630-0192, Japan.
出版信息
J Med Imaging (Bellingham). 2015 Jul;2(3):033501. doi: 10.1117/1.JMI.2.3.033501. Epub 2015 Aug 13.
We present a framework for optical tomography based on a path integral. Instead of directly solving the radiative transport equations, which have been widely used in optical tomography, we use a path integral that has been developed for rendering participating media based on the volume rendering equation in computer graphics. For a discretized two-dimensional layered grid, we develop an algorithm to estimate the extinction coefficients of each voxel with an interior point method. Numerical simulation results are shown to demonstrate that the proposed method works well.
我们提出了一种基于路径积分的光学层析成像框架。我们没有直接求解在光学层析成像中广泛使用的辐射传输方程，而是使用了一种基于计算机图形学中体绘制方程为渲染参与介质而开发的路径积分。对于离散的二维分层网格，我们开发了一种使用内点法估计每个体素消光系数的算法。数值模拟结果表明所提出的方法效果良好。
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