New one-dimensional iterative approach to restoring two-dimensional circularly band-limited images
Authors: Gregori G., Wabnitz S.
Autors Affiliation: Fondazione \”Ugo Bordoni\”, Istituto Superiore delle Poste e Telecomunicazioni, Viale Europa 160, Rome, Italy; Department of Mathematics, Stanford University, Stanford, CA, 9430, United States
Abstract: A new method for the restoration of two-dimensional (2-D) images obtained through a circularly band-limited system is given. Object and image are decomposed into circular harmonics, and it is observed that the imaging system acts separately on each harmonic. We show that superresolution is, in practice, attainable with a small number of one-dimensional iterations. The method presents several advantages on the conventional 2-D algorithms of the Gerchberg type. The computing effort in particular can be much reduced. Performances of our method on computer-generated images are presented.
Journal/Review: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
Volume: 2 (11) Pages from: 2046 to: 2053