To $e$ or not to $e$ in Poisson Image Reconstruction and Minimax Rates for Poisson Inverse Problems with Physical Constraints
In photon-limited image reconstruction, observations can be modeled as y~Poisson(f), where f:=exp(g) is the intensity of interest and g is the log-intensity. Previous work in this area has considered applying regularizers such as the total variation semi-norm to either f or to g:=log(f). The former is less stable at very …