参与性介质内光学参数信息重建是目前辐射反问题的研究热点,广泛应用于生物医学成像等领域。荧光探针技术可以显著地提高生物体内健康组织与病变组织的对比度,在近红外光学成像领域受到了广泛的关注。本文利用扩散近似方程模拟激发激光和荧光在散射占优介质内的传输,求解介质边界的透反射信号。利用广义Gauss-Markov随机场模型构建正则化项,加入目标函数中以克服反问题的病态特性。采用共轭梯度法求解反问题,反演二维非均匀介质内的荧光产率和荧光寿命。结果表明,本文提出的算法能够很好地反演获得荧光产率和荧光寿命分布,所得图像能够清晰地分辨出介质内部结构。
The information reconstruction of the optical parameters in participating media is a hotspot of the inverse radiation problem, and has wide applications in the biomedical imaging. The fluorescence probe technique has attracted widespread concerns in the field of near-infrared optical tomography, because it can improve the contrast of the diseased tissue and healthy tissue in vivo significantly. This article employs the diffusion model to simulate the propagation of the laser and fluorescence light in the scattering-dominant media and obtain the exitance tansmittance or reflectance signals. To overcome the ill-posed nature of inverse problem, the regularization term constructed by the generalized Gaussian Markov random field model is added in the objective function. The conjugate gradient method is adopted to solve the inverse problem and reconstruct the fluorescence yield and lifetime in two-dimensional inhomogeneous media. The retrieval results indicate that the reconstructed images can show the internal structure of the media clearly.