基于L1-L1范数的电学层析成像静态成像算法  

Electrical Tomography Static Reconstruction Algorithms Based on L1-L1 Norm

作　　者：王超[1] 胡凤红 何晓蓉[1] 秦伟刚[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津300072

出　　处：《中国医疗设备》2015年第7期16-18,共3页China Medical Devices

摘　　要：电学层析成像中静态成像算法的目标函数为电压测量值与电压计算值之间残差的范数与罚函数两项之和。目前,针对残差项的L1范数成像算法还较少,本文使用原始-对偶内点法,实现了目标函数中残差项和罚函数项均使用L1范数的重建算法,进行图像重建。研究表明使用基于L1-L1范数算法进行图像重建可获得较好的重建图像质量。The objective function of the static imaging algorithm in electrical tomography contains two terms, one is function of residual error between measurement boundary voltage and computational voltage, and the other is the penalty function. At present, the L1 norm imaging algorithm for the residual term is still less. The primal dual interior point method is used to reconstruct the image with both the residual term and penalty function using L1 norm. The research shows that the image reconstruction using the L1-L1 norm algorithm can obtain high-quality reconstructed images.

关 键 词：电学层析成像 静态成像算法 原始-对偶内点法 L1范数 L2范数 

分 类 号：TM934.7[电气工程—电力电子与电力传动]