Modified gradient descent method for image restoration

function of two variables distorted by a known linear operator and additive noise is usually used in the problem of image restoration. It was shown that to solve the problem metrical as well as topological characteristics of the function of two variables should be used. In paper with the help of spectral analysis we derive conditions when the gradient decent method is able to restore images. Computer simulation results are provided to illustrate the performance of the gradient decent method for restoration of uniformly blurred signals.