We develop space variant data dependent filtration techniques for single-photon emission computed tomography (SPECT) data modeled as the 2D attenuated ray transform with Poisson noise. In these studies we proceed, in particular, from some results of our recent work [J.-P.Guillement, R.G.Novikov, A noise property analysis of single-photon emission computed tomography data, Inverse Problems 20, pp.175-198, (2004)]. We illustrate our filtrations in the framework of simulated SPECT imaging involving (generalized and classical) FBP algorithms
