PDF File Bayesian Reconstructions From Emission Tomography Data Using a Modified EM Algorithm. Abstract-A new method of reconstruction from SPECT data is pro- posed, which builds on the EM approach to maximum likelihood reconstruction from emission tomography data, but aims instead at max- imum posterior probability estimation, that takes account of prior belief about “smoothness” in the isotope concentration. A novel mod- ification to the EM algorithm yields a practical method. The method is illustrated by an application to data from brain scans