In this paper we investigate how the method of convex projections for image restoration behaves in the presence of noise. We also introduce and test a new noise-smoothing procedure in which the restored image is forced to lie within a certain L2 distance of the noisy data. We show that, in the presence of noise, restoration by convex projections is superior to the Gerchberg-Papoulis method.
© 1983 Optical Society of America
Original Manuscript: March 31, 1983
Published: September 15, 1983
M. I. Sezan and Henry Stark, "Image restoration by convex projections in the presence of noise," Appl. Opt. 22, 2781-2789 (1983)