A computer-aided x-ray holographic imaging method is proposed. In this system a 3-D image of an object is reconstructed by extracting the hologram, which corresponds to the complete coherence, from the intensity signals obtained under temporally and spatially partial coherent illumination of the object. This method requires neither a priori information about the object's structures nor placement of a pointlike target near the object to obtain the reference waves. The coherence function is detected differentially from intensities of infinitesimal intervals on the hemispherical hologram plane so that it does not suffer from the short temporal coherence length of available x-ray sources. Two deconvolution processings to compensate the effects of the spatially and temporally partial coherency of the waves are also adopted. Principle, design conditions, and a few numerical results are given.