Abstract

A generalized class of image restoration methods, that inclues both the maximum entropy and the band-limited image restoration methods, is investigated from a deterministic point of view. By use of these methods we can introduce additional a priori information about the original image into the reconstruction process. If we assume that the detail in the image is represented by the location of the maxima and minima of its irradiance, all the methods that we considered cannot reconstruct an image that contains more detail than it can be contained in a band-limited function whose spectrum is limited to the same frequency range as that of the degraded image.

© 1977 Optical Society of America

Maximum entropy image restoration. I. The entropy expression

Ryoichi Kikuchi and B. H. Soffer
J. Opt. Soc. Am. 67(12) 1656-1665 (1977)

Restoring with Maximum Likelihood and Maximum Entropy*

B. Roy Frieden
J. Opt. Soc. Am. 62(4) 511-518 (1972)

Maximum-entropy image restoration: Lagrange and recursive techniques

Edward S. Meinel
J. Opt. Soc. Am. A 5(1) 25-29 (1988)

Image restoration and resolution enhancement

Charles L. Byrne, Raymond M. Fitzgerald, Michael A. Fiddy, Trevor J. Hall, and Angela M. Darling
J. Opt. Soc. Am. 73(11) 1481-1487 (1983)

Restoring with maximum entropy. III. Poisson sources and backgrounds

B. Roy Frieden and Donald C. Wells
J. Opt. Soc. Am. 68(1) 93-103 (1978)