Computerized Tomography with Unknown Sources

Abstract

We give a reconstruction method for the attenuation coefficient in a 2D cross section of a 3D object from tomographic data which does not require knowledge of the positions or the intensity of the sources, and the sources may even be inside the object. Such a situation arises in emission computerized tomography. The method is based on consistency conditions in the range of the relevant integral transforms. The paper contains a detailed description of the algorithm and numerical results for computer generated data.