Errors in reconstruction of resistivity images using a linear reconstruction technique

Abstract

Reconstruction of electrical impedance images using the filtered back projection method of Barber and Brown (ATP Information Processing in Medical Imaging, ed. S.L. Bacharach, (Dordrecht: Martinus Nijholf) p.106-21, 1986) makes several important assumptions about the object being imaged. These are principally that the object has a circular boundary, is two-dimensional and of impedance close to uniform, and has electrodes equally spaced on its boundary. In practice few of these assumptions are met, yet the method appears to give sensible and useful images. This paper looks at errors of reconstruction produced by nonideal placement of the electrodes and shows that the reconstruction method is insensitive to such placement errors.