Adaptive nonlinear image restoration using the theory of convex projections

An adaptive, nonlinear restoration algorithm incorporating both regularization and ringing suppression constraints is developed. The algorithm is formulated using the method of projections onto convex sets. In the proposed method, regularized restoration is implemented by projecting at each iteration onto the extended Wiener set. Ringing suppression is achieved by adaptively bounding the regional image variance in an attempt to reduce the energy of the ringing artifacts.<>