1. A method, implemented utilizing a computer, for obtaining a reconstruction of an object, the reconstruction of the object comprising an inverse problems, the method comprising: expressing the reconstruction of the object as a optimization problem with total variation regularization; expressing solution of the optimization problem as a system of fixed point equations, each of the fixed point equations expressed using projections; performing iterations applying the protections alternatingly; and obtaining the reconstruction of the object from convergence of the iterations; the object being an input to a system, the system providing output data resulting from the input, the object being reconstructed from the output data obtained from interaction of the object with the system; iterations being performed by means of a computer usable medium having computer readable code that causes the computer to perform the iterations.