A method of investigating a specimen using a tomographic imaging apparatus, by performing, in multiple iterations, the following steps: (i) Using a Back Projection technique to produce an initial tomogram from a set of initial images; (ii) Subjecting said initial tomogram to a mathematical filtering operation, thereby producing an adjusted tomogram; (iii) Using a Forward Projection technique on said adjusted tomogram to dissociate it into a set of calculated images; (iv) Repeating steps (i)-(iii) until said calculated images satisfy an acceptance criterion.