This research project is concerned with the problem of imaging shallowly buried objects. The primary application that will be addressed is that of land mine detection. The research effort differs from previous efforts not only in its unseen combination of imaging modalities, integrating measurements from Ground Penetrating Radar and Electrical Impedance Tomography, but even more important, in its consistent emphasis on tomographic imaging. When compared to the more conventional methods based on single soundings, this should lead to a significant higher detection confidence. Up to now, tomographic imaging has only raised moderate interest in subsurface imaging, mainly due to its high computational demands. Therefore, the main contribution of this study will be the development of computational efficient and numerical reliable algorithms.