基于矩阵分解的三维动态电阻抗断层成像方法

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中图分类号：R318.6；TP391.41 文献标志码：A 文章编号：1671-024X（2025）04-0019-09

Three-dimensional dynamic electrical impedance tomography based on matrix decomposition

LI Xiuyan 1，2 ， ZHAO Tianchen1，2， WANG Qi 1，2 ， HAN Jing³ （1.SchoolofElectronicsand InformationEngineering，Tiangong University，Tianjin 3Oo387，China；2.Research Center forFuture TextileTechnology，Tiangong University，Tianjin3O387，China;3.TianjinHaiheHospital，TianjinUniversity，Tianjin 300350，China）

Abstract：Real-time tracking of moving targets inthree-dimensional spaceconstitutes acriticalchallnge in medical diagnostic imaging and monitoring.Traditional medical imaging techniques，restricted by their imaging speed，struggle to achieve real-time monitoring of moving targets. Electrical Impedance Tomography （EIT） provides the benefits ofradiation-free operationand high temporal resolution.Toaddressthis challnge，we propose a matrix decomposition-based three-dimensional reconstruction algorithm （3D-LS）.By simultaneously considering temporal continuityand spatial structural information，the algorithm effectively distinguishes dynamic components from background ones in three-dimensional impedance images.Taking a moving sphere as an example， we constructedathree-dimensional dynamic EITmodel with multi-wire electrodes and performed experimental validation. Theresults demonstrate that images reconstructed via the 3D-LS algorithm exhibit beter three-dimensional structuralcontinuityand more uniform conductivitydistribution.Compared with traditional imaging algorithms， for sphere motion along the X -axis，the relative error of the reconstructed image was 50.1% ，indicating an average decrease of 28.9% ，and the structural similarity was 75.7% ，showing an average increase of 22.4%.For motion along the Y -axis，the relative error was 51.5% ，indicating an average decrease of 36.9% ，and the structural similarity was 83.9% ， showing an average increase of 44.0% . Both simulation and experimental results confirm the significant practical value of this method in three-dimensional dynamic EIT reconstruction.

KeyWords：electricalimpedancetomography；matrixdecompositionalgorithm;inverseproblem；motiontargetreconstruction

电阻抗断层扫描（electrical impedance tomography，EIT）作为一种非侵入性、非电离、无辐射的成像技术，凭借其独特优势而备受关注，广泛应用在工业和生物医学专业，如多相流检测、地球物理层地下成像-4和生理检测[5-等。（剩余11689字）