Wiener filter in two-dimensional case applied to corrected images

Summary form only given, as follows. The theory of Wiener gives the filter which minimizes the residual error (difference between the real exit and the desired exit), thus, the filter of Wiener 2D gives a solution to many problems of two-dimensional signal processing such as the restoration of degraded images. However, since the determination of this filter implies the solution of a system of linear equations with great dimension, fast algorithms are necessary. The effort of calculation for the determination of the coefficients of this filter depends primarily on the statistical nature of the input signal. Thus, the vertical or horizontal stationarity of the two-dimensional signal of entry provides a system whose associated matrix has a structure of Toeplitz in blocks. The system can be solved by the use of the algorithm of Levinson generalized for the two-dimensional case.