Propagation of measurement noise through backprojection reconstruction in electrical impedance tomography

IEEE Transactions on Medical Imaging - Tập 21 Số 6 - Trang 566-578 - 2002
A.R. Frangi1, P.J. Riu2, J. Rosell3, M.A. Viergever4
1Aragon Institute of Engineering Research (I3A), Universidad de Zaragoza, Zaragoza, Spain
2División de Instrumentacin y Bioingenieria, Departamento de Ingenieria Electrónica, Universidad Politécnica de Cataluntildeña, Barcelona, Spain
3División de Instrumentación y Bioingenieria, Departamento de Ingenieria Electrónica, Universidad Politécnica de Cataluntildeña, Barcelona, Spain
4Image Sciences Institute, University of Utrecht, Utrecht, Netherlands

Tóm tắt

A framework to analyze the propagation of measurement noise through backprojection reconstruction algorithms in electrical impedance tomography (EIT) is presented. Two measurement noise sources were considered: noise in the current drivers and in the voltage detectors. The influence of the acquisition system architecture (serial/semi-parallel) is also discussed. Three variants of backprojection reconstruction are studied: basic (unweighted), weighted and exponential backprojection. The results of error propagation theory have been compared with those obtained from simulated and experimental data. This comparison shows that the approach provides a good estimate of the reconstruction error variance. It is argued that the reconstruction error in EIT images obtained via backprojection can be approximately modeled as a spatially nonstationary Gaussian distribution. This methodology allows us to develop a spatial characterization of the reconstruction error in EIT images.

Từ khóa

#Impedance measurement #Electric variables measurement #Noise measurement #Tomography #Image reconstruction #Algorithm design and analysis #Reconstruction algorithms #Current measurement #Voltage #Detectors

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