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We present a tomographic inversion procedure for the computation of intrinsic Cole-Cole or Constant-Phase-Angle (CPA) model parameters from spectral induced polarization (SIP) data. The idea is to invert data at all frequencies simultaneously while using a subsurface model which consists only of the parameters of the relaxation model for each cell, instead of inverting each frequency separately for complex resistivities and fitting a relaxation model to each cell afterwards. Connecting the information from all frequencies during the inversion is expected to yield more consistent models. Both approaches are compared and also applied to a set of surface field data.