title: Restoration of optical objects using regularization.
abstract: Using the regularization theory for improperly posed problems, we discuss object restoration beyond the diffraction limit in the presence of noise. Only the case of one-dimensional coherent objects is considered. We focus attention n the estimation of the error on the restored objects, and we show that, in most realistic cases, it is at best proportional to an inverse power of |In epsilon|, where epsilon is the error on the data (logarithmic continuity). Finally we suggest the extension of this result to other inverse problems.
authors.forename: M
authors.initials: M
authors.lastname: Bertero
authors.forename: C
authors.initials: C
authors.lastname: De Mol
authors.forename: G A
authors.initials: GA
authors.lastname: Viano