基于辐射传输方程三阶简化球谐近似模型的时域荧光扩散层析图像重建方法  

Image Reconstruction Method of Time-Domain Fluorescence Diffuse Optical Tomography Based on the Third-Order Simplified Spherical Harmonics Approximation to Radiative Transfer Equation

作　　者：马文娟[1] 高峰[1,2] 张伟[1] 易茜[1] 李娇[1] 武林会[1] 

机构地区：[1]天津大学精密仪器与光电子工程学院,天津300072 [2]天津市生物医学检测技术与仪器重点实验室,天津300072

出　　处：《光学学报》2011年第5期75-81,共7页Acta Optica Sinica

基　　金：国家自然科学基金(30870657;30970775);国家863计划(2009AA02Z413);天津市自然科学基金(09JCZDJC18200;10JCZDJC17300)资助课题

摘　　要：采用辐射传输方程的简化三阶球谐函数(SP3)近似作为时域荧光扩散层析成像(FDOT)的正向模型,克服了球谐函数近似法(PN)公式复杂,计算量大的缺点和扩散近似(DA)理论对于低散射组织体的不适用性。考虑到时域模式可以同时重建荧光产率和寿命,且技术上较频域模式更容易实现,因此采用时域模型,应用源自广义脉冲谱技术(GPST)的特征数据类型,将基于DA-GPST推广到SP3方程,发展了一套基于SP3-GPST的FDOT图像重建方法。数值模拟结果表明,SP3-GPST重建结果优于DA-GPST。The third-order simplified spherical harmonics approximation to radiative transfer equation is utilized as forward model for the fluorescence diffuse optical tomography（FDOT）.This algorithm overcomes the drawback of big computation consumption of PN approximation and limitation that DA is unapplicable to the low-scattering tissue.The time-domain technique offers the potential advantages in directly measuring lifetime and has the best performances of simultaneously recovering of fluorescent yield and lifetime distributions,as well as resolving multiple components.On these bases,an image reconstruction method of generalized pulse spectrum technique based on the SP3 equation（SP3-GPST） is presented,and it is an extent of generalized pulse spectrum technique based on the diffusion equation（DA-GPST）.Simulation results show that SP3-GPST performs better than DA-GPST.

关 键 词：图像处理 时域荧光分子层析 球谐函数 广义脉冲谱技术 正问题 逆问题 

分 类 号：Q63[生物学—生物物理学]