K. Forbes et Vv. Anh, CONDITION OF SYSTEM MATRICES IN IMAGE-RESTORATION, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(6), 1994, pp. 1727-1735
The restoration of an object from its blurred image is made difficult
by the presence of noise in the image and the ill condition of the blu
rring matrix. Existing literature has concentrated on smoothing method
s to reduce the effects of noise but has paid little attention to quan
tifying the amount of ill condition of the blurring matrix. We propose
a measure of condition appropriate for image restoration and study th
e degree of ill condition of the blurring matrix. The dependence of th
e condition on the size of the image is demonstrated.