Image reconstruction in diffuse optical tomography based on simplified spherical harmonics approximation
Image reconstruction in diffuse optical tomography based on simplified spherical harmonics approximation
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DOI：
10.1364/oe.17.024208
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发表时间：
2009-12-21
期刊：
影响因子：
3.8
通讯作者：
Dehghani, Hamid
中科院分区：
文献类型：
--
作者：
Chu, Michael;Dehghani, Hamid
提出了在光学层析成像中，通过简化球谐函数展开（SPN）对辐射输运方程进行高阶近似的方法。它示出，虽然各向异性因子可以在正问题中建模，其对所测量的边界数据的敏感性仅限于表面区域，更重要的是，由于反问题的唯一性，它不能使用频域数据来确定。通过使用高阶模型的图像重建。它表明，在更高的订单（例如SP7）的图像重建变得高度欠确定由于大量增加的未知数，不能充分恢复。然而，漫射参数的重建，即光学吸收和减少的散射已被证明是更准确的，其中只有在逆问题中使用的灵敏度矩阵是基于SPN方法和图像重建仅限于这两个漫射参数。(C)2009年美国光学学会
The use of higher order approximations to the Radiative transport equation, through simplified spherical harmonics expansion (SPN) in optical tomography are presented. It is shown that, although the anisotropy factor can be modeled in the forward problem, its sensitivity to the measured boundary data is limited to superficial regions and more importantly, due to uniqueness of the inverse problem it cannot be determined using frequency domain data. Image reconstruction through the use of higher ordered models is presented. It is demonstrated that at higher orders (for example SP7) the image reconstruction becomes highly under-determined due to the large increase in the number of unknowns which cannot be adequately recovered. However, reconstruction of diffuse parameters, namely optical absorption and reduced scatter have shown to be more accurate where only the sensitivity matrix used in the inverse problem is based on SPN method and image reconstruction is limited to these two diffuse parameters. (C) 2009 Optical Society of America