A method and apparatus are disclosed for performing tomographic reconstruction. An object to be examined is represented with a tomographic model that includes grid points. A set of measurement data represents attenuation experienced by radiation that propagated through parts of the object to be examined. Statistical inversion is applied to convert the set of measurement data into a calculated distribution of attenuation values associated with at least a number of the grid points. Applying statistical inversion includes associating values of a prior with the grid points, which prior includes at least one regularization parameter. The values of the prior for different grid points come from using different values of the regularization parameter. The method includes producing an image representation of the calculated distribution of attenuation values.
