Iterative method for deblurring problem based on the least squared criterion

In order to obtain more effective result, this paper proposes an iterative algorithm for solving the least squared criterion based image deblurring problem subject to nonnegative constraints. This iterative algorithm is proposed based on Generalized Kuhn-Tucker Theorem. It is shown that every function in the sequence is nonnegative and that the sequence converges monotonically to a minimum. The experiments verify that our iterative algorithm is superior to the developed iterative algorithm by Snyder in the identical problem and iterations.