In this paper me present two variants of the EM algorithm for dynamic SPECT
imaging. A version based on compartmental modeling which fits a sum of exp
onentials and a more general approach allowing for arbitrary decaying activ
ities. The underlying probabilistic models are discussed and the incomplete
and complete data spaces are shown to be physically meaningful, We indicat
e that the second method, leading to a convex program in the M step, is eas
ier to treat numerically and we present a possible numerical approach. Some
preliminary numerical tests indicating the feasibility of the method are i
ncluded.