Nonlinear digital filters for image restoration using Volterra series

In this paper, we propose new nonlinear digital filters for image processing which are represented by discrete Volterra series. Firstly a design theory of nonlinear filters is formulated as an identification problem of unknown filters using pairs of input and output images of the filters. Secondly a nonlinear filter for image restoration is designed as an example of the proposed design method. Finally the designed filter is used to restore another image degraded in the same manner. It supports that the proposed design method is quite efficient.