Propagation of measurement noise through backprojection reconstruction in electrical impedance tomography |
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Authors: | Frangi Alejandro F Riu Pere J Rosell Javier Viergever Max A |
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Affiliation: | Departamento de Ingeniería Electrónica y Comunicaciones, Universidad de Zaragoza, Spain. afrangi@posta.unizar.es |
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Abstract: | 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. |
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