Abstract: Apparatus for electric tomography comprising a coupling medium for receiving an object to be examined, a plurality of electrodes disposed in the coupling medium and arranged in a three dimensional array; multiplexing apparatus for applying electric voltages at selected first pluralities of electrodes and simultaneously measuring electric currents at corresponding selected second pluralities of electrodes in a desired sequence; and computation apparatus coupled to the multiplexing apparatus for originally estimating the electrical properties at a multiplicity of locations in the object to be examined, these locations being arranged in a three dimensional imaginary grid defined in the object to be examined and subsequently correcting the conductivity estimates at each of the multiplicity of locations on the basis of the measured currents by an iterative process.