We report on our recent developments of reconstruction algorithms for Differential Phase Contrast X‐ray Computed Tomography (DPC CT). DPC images provide information about the real and imaginary part of the refractive index which is an advantage when objects with poor absorption but good phase contrast are inspected. In order to promote DPC CT for industrial applications we developed an adapted Feldkamp algorithm which allows reconstructing the three‐dimensional image of the refractive index of an object from the DPC projections obtained with our large field of view, high energy grating interferometer set up in a cone beam geometry. We present slice images of a test object and show different ways of visualization of the phase and absorption information.