基于非负约束L_1-范数正则化的乳腺扩散光学层析成像重建方法  

Reconstruction Method of Breast Diffuse Optical Tomography Based on Non-Negative-Constraint L_1-Norm Regularization

作　　者：王兵元 陈玮婷[1] 马文娟[2] 祁瑾[1,2] 张丽敏[1,3] 赵会娟[1,3] 高峰[1,3] 

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]天津医科大学肿瘤医院,天津300060 [3]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》2016年第11期204-210,共7页Acta Optica Sinica

基　　金：国家自然科学基金(15JCZDJC31800;15JCQNJC14500);天津市应用基础及前沿技术研究计划(15JCZDJC31800;15JCQNJC14500)

摘　　要：在乳腺扩散光学层析成像中,L1-范数正则化的引入大幅改善了重建图像的质量,但目标函数的不可导性使得最优化过程异常困难。提出了一种新的基于非负约束L1-范数正则化的重建方法。非负先验信息的引入使得目标函数的一阶梯度变得简单易求,最优化过程得以简化和加速。数值模拟和仿体实验均表明,相对于传统正则化重建方法,该方法可简单、快速地获得更高质量的重建图像。In breast diffuse optical tomography,the introduction of the L1-norm regularization greatly improves the quality of the reconstructed image.However,the non-differentiable property of the objective function leads to exceeding difficulty in the optimization process.A new reconstruction method based on the L1-norm regularization with the nonnegative restriction is proposed.To easily solve the first-order gradient of the objective function,the non-negative prior information is introduced.The optimization process is then well simplified and accelerated.Both the numerical simulations and the phantom experiments demonstrate that this new method can obtain much better results than the conventional regularization methods,and its process is more simple and faster.

关 键 词：医用光学 乳腺扩散光学层析成像 图像重建 正则化 非负先验信息 

分 类 号：O436.2[机械工程—光学工程]