Artefact reduction in fast Bayesian inversion in electrical tomography

Purpose – The purpose of this paper is to reduce the artifacts in fast Bayesian reconstruction images in electrical tomography. This is in particular important with respect to object detection in electrical tomography applications. Design/methodology/approach – The authors suggest to apply the Box-Cox transformation in Bayesian linear minimum mean square error (BMMSE) reconstruction to better accommodate the non-linear relation between the capacitance matrix and the permittivity distribution. The authors compare the results of the original algorithm with the modified algorithm and with the ground truth in both, simulation and experiments. Findings – The results show a reduction of 50 percent of the mean square error caused by artifacts in low permittivity regions. Furthermore, the algorithm does not increase the computational complexity significantly such that the hard real time constraints can still be met. The authors demonstrate that the algorithm also works with limited observations angles. This allow...

[1]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[2]  Ø. Isaksen,et al.  A review of reconstruction techniques for capacitance tomography , 1996 .

[3]  Kyung Youn Kim,et al.  Electrical impedance imaging of binary mixtures with boundary estimation approach based on multilayer neural network , 2005, IEEE Sensors Journal.

[4]  Wim De Waele,et al.  Optical measurement of target displacement and velocity in bird strike simulation experiments , 2003 .

[5]  Hua-Xiang Wang,et al.  Image reconstruction algorithm for electrical capacitance tomography based on radial basis function neural network , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[6]  Lihui Peng,et al.  Image reconstruction algorithms for electrical capacitance tomography , 2003 .

[7]  Arto Voutilainen,et al.  Fast Adaptive 3-D Nonstationary Electrical Impedance Tomography Based on Reduced-Order Modeling , 2012, IEEE Transactions on Instrumentation and Measurement.

[8]  Oussama Khatib,et al.  Virtual whiskers — Highly responsive robot collision avoidance , 2013, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[9]  M. S Beck,et al.  Imaging Industrial Flows: Applications of Electrical Process Tomography , 1995 .

[10]  Johnathan M. Bardsley,et al.  MCMC-Based Image Reconstruction with Uncertainty Quantification , 2012, SIAM J. Sci. Comput..

[11]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[12]  Po Box,et al.  Image reconstruction algorithms for electrical capacitance tomography: state of the art , 2004 .

[13]  Ya Li,et al.  Non‐iterative reconstruction with a prior for undersampled radial MRI data , 2013, Int. J. Imaging Syst. Technol..

[14]  Andy Adler,et al.  A neural network image reconstruction technique for electrical impedance tomography , 1994, IEEE Trans. Medical Imaging.

[15]  N. J. Bailey,et al.  Performance of neural network in image reconstruction and interpretation for electrical capacitance tomography , 1995 .

[16]  Daniel Watzenig,et al.  A review of statistical modelling and inference for electrical capacitance tomography , 2009 .