Title :
Determination of the appropriate degree of smoothing in linear image restoration: a comparison
Author :
Fortier, Natalie ; Goussard, Yves ; Demoment, Guy
Author_Institution :
Lab. des Signaux et Syst., Ecole Superieure d´´Electr., Gif-sur-Yvette, France
Abstract :
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
Keywords :
filtering and prediction theory; parameter estimation; picture processing; statistical analysis; 2D methods; Lagrange multiplier techniques; cross-validation techniques; linear image restoration; maximum-likelihood estimation; prediction errors; real images; residuals properties; smoothing; statistical methods; synthetic images; Bayesian methods; Covariance matrix; Filtering; Image restoration; Kalman filters; Lagrangian functions; Linear systems; Smoothing methods; Statistical analysis; Uninterruptible power systems;
Conference_Titel :
Multidimensional Signal Processing Workshop, 1989., Sixth
Conference_Location :
Pacific Grove, CA
DOI :
10.1109/MDSP.1989.97106
