A new stochastic projection-based image recovery method

The method of projections onto convex sets has been used effectively in the solution many important signal and image processing applications. This method however fails in circumstances when the desired constraints form non-convex sets. A new approach to image recovery based on a stochastic projections method is presented. At its core the method relies on the iteration of projections onto closed sets (not necessarily convex). A stochastic parameter is used to update the projections among the images in their neighborhood subsequent to each iteration. Computer simulation experiments are used for the comparison of the stochastic projections with several existing methods to signal recovery for phase-from-magnitude image restoration