Abstract: A soft-field tomography system includes a plurality of transducers, one or more excitation drivers, one or more response detectors, and a soft-field reconstruction module. The transducers are configured for positioning proximate a surface of an object to be imaged, and are configured to apply excitations to the surface of the object. The excitation drivers are coupled to the transducers and configured to generate excitation signals to be applied by the transducers. The response detectors are coupled to the transducers and configured to measure a response of the object at the transducers to acquire an Electrical Impedance Tomography (EIT) data set. The soft-field reconstruction module is configured to select a model domain for the EIT data set that represents a predetermined shape, determine a minimally anisotropic error in the model domain, and perform isotropization using the determined minimally anisotropic error to recover a boundary shape and isotropic conductivity.