Метод определения поверхности разрыва плотности источников активности в позитронно-эмиссионной томографии

This paper deals with the inverse problem of a positron emission tomography. It is assumed that the outgoing radiation density is only given, and the task is to find the surface of an activity source. The uniqueness of the solution is proved, and the corresponding solution algorithm is outlined. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.