We are developing a technique which will enable us to obtain high-contrast, high-spatial resolution, three-dimensional images in opaque objects. Our only constraint will be the radiation source and detector(s) located on the same side of the object. Our goal is to obtain images with a spatial resolution of approximately 1 mm at depths of 10 mm and approximately 3 mm at depths of 30 mm in materials of moderate density (brass, steel, etc.). Our technique uses a highly-collimated beam of monochromatic gamma rays and a slit collimated high- resolution, high-efficiency, coaxial germanium spectrometer. If the geometry is well known, the spectrum of Compton scattered radiation can be used to map out the density as a function of depth. By scanning the object in two dimensions, a full three-dimensional image of the electron density can be reconstructed. The resolution is, of course, dependent on the incident beam collimation and the energy resolution of the spectrometer. For our system, we anticipate a resolution of about 1 mm3. The apparatus, reconstruction algorithms, and current data verifying our predictions are presented here. Also included are the details on how our system can be modified to increase the efficiency by over two orders of magnitude.