ANALYSIS AND SYNTHESIS OF SIGNALS AND IMAGES CHOOSING THE STOPPING ITERATION IN ITERATIVE ALGORITHMS OF IMAGE AND SIGNAL RECONSTRUCTION

摘要

Large-dimension signals and images are frequently reconstructed by means of iterative algorithms in which the regularization parameter is the number of iteration at which the construction of the minimizing sequence stops. The choice of the stopping iteration is an important problem. Its solution requires substantial a priori information unavailable in practice. The present paper, using the cross-validation method, proposes an algorithm for estimating the number of iteration at which the solution has the minimum error.