Determination of the appropriate degree of smoothing in linear image restoration: a comparison

The extension to 2-D of three statistical methods successfully used in the 1-D problem has been studied, namely: (1) Lagrange multiplier techniques using properties of the residuals; (2) ordinary and generalized cross-validation techniques using prediction errors; and (3) maximum-likelihood estimation. Particular attention has been paid to implementation problems, and the methods have been compared for both synthetic and real images.<>