A Homotopy Perturbation Method for Diffuse Optical Tomography Based on Radiative Transfer Equation
A Homotopy Perturbation Method for Diffuse Optical Tomography Based on Radiative Transfer Equation
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DOI：
10.1166/jmihi.2014.1344
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发表时间：
2014-12
影响因子：
--
通讯作者：
Bo Bi;B. Han;Jinping Tang
中科院分区：
文献类型：
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作者：
Bo Bi;B. Han;Jinping Tang
扩散光学断层扫描是一种非侵入性的成像方式，在早期肿瘤诊断中引起了广泛关注，例如在乳腺成像和脑成像中。漫射光学层析成像的目标是对人体组织的光学参数分布进行成像。本文利用同伦微扰法对基于辐射输运方程的散射系数重构进行了数值研究。数值模拟已经进行了考虑不同的位置，大小和数量的夹杂物在各种噪声条件下。数值结果表明，同伦摄动法在DOT重建中具有对数据噪声的鲁棒性和数值稳定性。结果表明，同伦摄动法比经典的Landweber迭代法更有效、更稳定。
Diffuse optical tomography is a non-invasive imaging modality that has attracted much attention in early tumor diagnosis, such as in breast imaging and brain imaging. The target of diffuse optical tomography is to image the optical parameter distribution of human tissues. This paper provides a numerical study of reconstructing scattering coefficients based on the radiative transport equation by using the homotopy perturbation method. Numerical simulations have been performed in terms of considering different locations, sizes, and numbers of the inclusions under various noise conditions. Numerical results indicate that the homotopy perturbation method has the robustness to the data noise and numerical stability in the DOT reconstruction. Moreover, the results show that the homotopy perturbation method is more efficient and stable compared with the classical Landweber iteration method.