1. A method, implemented utilizing a computer, for obtaining a reconstruction of an object from data, the reconstruction of the object comprising an inverse problems, the method comprising: expressing the reconstruction of the object as an optimization problem with total variation regularization; 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; the system comprising a medical imaging system; expressing a solution of the optimization problem as a system of fixed point equations, each of the fixed point equations expressed using projections; wherein at least some of the projections are expressed using proximity operators; performing iterations applying the projections alternatingly; and obtaining the reconstruction of the object from convergence of the iterations; iterations being performed by means of a computer usable medium having computer readable code that causes the computer to perform the iterations; wherein, for data from emission computed tomography (ECT) obtained with a reduced radiation dose, two to six times lower than presently used, a reconstruction of the object is obtained.