In this paper, we develop a global iterative algorithm for tomographic reconstructions from Mojette projections. Since Spline-Mojette projections are obtained by convolving Dirac-Mojette values with a specific uniform projection kernel, we decorrelate iterative reconstructions from projection model and provide a global scheme available for all Mojette models. We refer iterative algorithms to their Radon based counterparts and propose a comparative study from several Mojette acquisitions.