Abstract

A digital method for restoring bandlimited images in the presence of noise is described. The restoration procedure is an iterative damped least-squares algorithm that is based on the principle of damped least squares. This method has the advantage of tolerance to noise by incorporating additional constraints of non-negativity of the object and the adaptive regularization as well as a priori information about the finite extent of the object. We present some results of computer simulations of both 1-D and 2-D images that demonstrate the effectiveness of the proposed method.

© 1985 Optical Society of America

Image restoration by an iterative damped least-squares method with non-negativity constraint

Junji Maeda
Appl. Opt. 24(6) 751-757 (1985)

Image restoration by an iterative regularized pseudoinverse method

Junji Maeda and Kazumi Murata
Appl. Opt. 23(6) 857-861 (1984)

Restoration of band-limited images by an iterative regularized pseudoinverse method

Junji Maeda and Kazumi Murata
J. Opt. Soc. Am. A 1(1) 28-34 (1984)

Digital restoration of incoherent bandlimited images

Junji Maeda and Kazumi Murata
Appl. Opt. 21(12) 2199-2204 (1982)

Image restoration in singular vector space by the method of convex projections

Osami Sasaki and Taku Yamagami
Appl. Opt. 26(7) 1216-1221 (1987)