摘要
针对电容层析成像(electrical capacitance tomography,ECT)逆问题的病态性和不适定性,提出了一种基于分割布雷格曼迭代(split Bregman iteration,SBI)的图像重构算法。在目标函数中引入基于参考图像的正则化、低阶约束和空间约束,从而提高成像质量和空间分辨率。对内-外置电极的ECT敏感场内环形区域进行图像重建。仿真结果表明:与Tlkhonov正则化算法和Landweber迭代算法相比,基于布雷格曼迭代的图像重建算法具有较好的空间分辨率,图像误差降低至0. 162 1,图像相关系数提升至0. 874 4,图像重建的精度和质量较高,说明了该算法在ECT图像重建领域的可行性和有效性。
In view of the morbidity and ill-posedness of the inverse problem of electrical capacitance tomography(ECT),an image reconstruction algorithm based on split-Bregman iteration(SBI)is proposed in the objective function.Regularization based on reference images,low-order constraints,and spatial constraints are introduced to improve imaging quality and spatial resolution.The image reconstruction of the annular region in the ECT sensitive field of the inner-outer electrode is performed.The simulation results show that compared with the Tlkhonov regularization algorithm and the Landweber iterative algorithm,the image reconstruction algorithm based on the Bregman iteration has better spatial resolution.The image error is reduced to 0.162 1,the image correlation coefficient is improved to 0.874 4,and the image reconstruction accuracy and quality are higher,which shows that the algorithm is feasible and effective in the field of ECT image reconstruction.
作者
马敏
王涛
范广永
MA Min;WANG Tao;FAN Guang-yong(College of Electronic Information and Automation,Civil Aviation University of China,Tianjin 300300,China)
出处
《科学技术与工程》
北大核心
2018年第32期212-216,共5页
Science Technology and Engineering
基金
国家自然科学基金(61401466)
中央高校基金(3122013C007)
国家自然科学基金委员会与中国民用航空局联合资助项目(U1733119)
民航科技项目(20150220)资助
关键词
电容层析成像
图像重建
内-外置电极
分割布雷格曼迭代
electrical capacitance tomography
image reconstruction
inner-outer electrodes
split-Breggman iteration
