基于球谐函数参数化描述的形状扩散光学层析成像方法  

Pilot Investigation into Shape-Based Diffuse Optical Tomography Methodology with Spherical Harmonics Parameterization

作　　者：武林会[1] 赵会娟[1,2] 易茜[1] 张伟[1] 高峰[1,2] 

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》2013年第6期231-238,共8页Acta Optica Sinica

基　　金：国家863计划(2009AA02Z413);国家自然科学基金(30970775;81271618;61108081);高等学校博士点学科专项科研基金(20120032110056);天津市自然科学基金(10JCZDJC7300)资助课题

摘　　要：基于球谐函数参数化描述方法和组织器官光学特性分区均匀性假设,提出了一种稳态测量模式下形状扩散光学层析(DOT)成像方法,它能同时重建组织器官的形状及其内部光学参数。该方法中,正向模型采用扩散方程的边界元数值解法,图像反演则采用Levenberg-Marquardt优化算法。用不同噪声水平下的模拟数据和简化的仿体模型分别进行了模拟和实验验证。重建结果表明,所提出的算法具有较快的收敛速度和较好的全局收敛性,并能有效地恢复目标区域的形状参数和光学参数。A shape-based approach of image reconstruction under continues-wave mode is developed for diffuse optical tomography （DOT）, which aims to simultaneously recover the smooth region boundaries and optical parameters of the biological tissue. The method is based on the spherical harmonics parameterization methodology and an assumption that different anatomical regions have their respective sets of the homogeneous optical parameter distributions. The boundary element method （BEM） is used for forward modeling, and a Levenberg-Marquardt optimization method is implemented for the inverse problem. The proposed scheme is validated using a domain with two heterogeneous inclusions, the shape parameters and the optical coefficients of the domains can be simultaneously reconstructing at different noise levels. And physical experiment on a phantom is also conducted to evaluate the performance of our method. The reconstructed results show that the methodology is very promising and of good convergence. The homogeneous optical parameters and shape parameters of each region can be reconstructed with good accuracy.

关 键 词：医用光学 形状扩散光学层析成像 边界元法 球谐函数参数化 逆问题 

分 类 号：Q63[生物学—生物物理学]