Object reconstruction from focused positron tomograms.

A major problem with the reconstruction of three-dimensional object distributions from focused tomographic images using Fourier transforms is the amplification of statistical noise in certain frequency components. This paper describes the use of a generalised matrix inversion technique to limit noise amplification to a level related to the spatial resolution of the imaging system. The reconstruction method is applied to a simulated positron camera, and results are presented on the imaging of an extended, three-dimensional object distribution. A significant improvement in the elimination of the background is achieved.