GISTA reconstructs faster with a restart strategy and even faster with a FISTA-like reconstruction

In this work, we showed that GISTA, reconstructing images with proven convergence and no internal iteration, can be used in CT reconstruction using the TV penalty. We showed that a careful choice of the initialization speeds up the algorithm in the early iterations. We suggested that a restart scheme might help further, and that a FISTA-Iike scheme might be worth investigating.