In tomography, a cross section of an object is imaged with as little interference as possible from structures not in the cross section. In reconstructive tomography, the image is computed from elementary measured data. Both X rays and nuclear emissions from injected radioactive isotopes are being successfully used in clinical applications at the present time. However, these modalities suffer the disadvantage of being invasive. Fortunately, other forms of energy can also be used in reconstructive tomography, including microwaves and ultrasound. As opposed to X rays, micro and acoustic waves can be reflected, and in this paper we explore methods to obtain images from such reflected waves. Our methods include pulse-echo reconstructive tomography and tomographic extensions of CW Doppler processing. The use of these forms of energy, as opposed to X rays, also permits the possibility of coherent signal generation and processing. In this paper, our emphasis is on Doppler processing. Analysis is presented as well as exprimental verification of the analysis. It is both theoretically and experimentally shown that high-quality reconstruction of object points can be obtained. Two equal points separated by a quarter wavelength may be resolved in the case of the coherent Doppler tomography.