Deconvolution problem 1D and 2D cases solution

This investigation deals the deconvolution problem of a signal (image) distorted by a linear time-invariant system. In order to regularize this ill-posed problem we propose a method which combines the deconvolution technique associated to a constraint and an optimal filtering with the method of periodicity suggested by Blanc-Feraud and textital.[1988][2]. So as to show that this method can be adapted to restore 1D or 2D signals without ever using the causality property.