Acoustic techniques have been used to do subsurface image reconstruction for imaging and classifying buried objects. Most of these techniques use either well-to-well tomography or surface-to-well tomography. When object inhomogeneities are large compared to the wavelength, energy propagation is characterized by diffraction, refraction and multipath effects. The chapter introduces an alternative approach to nondestructive 3-D imaging by using the concept of computed tomography (CT), which is successfully used for noninvasive medical imaging diagnostic applications. Medical CT imaging uses x-rays to obtain cross-sectional images, or "slices", of the human body and image reconstruction algorithms that are based on the Radon theorem. Once images of sufficient quality are available, a next step could include implementation of pattern recognition algorithms to identify and classify the mines. An advantage of this approach is the ability to detect mines that are buried beneath one another, as this is a common deployment procedure to deceive the conventional mine detection systems.