E. Salerno, SUPERRESOLUTION CAPABILITIES OF THE GERCHBERG METHOD IN THE BAND-PASSCASE - AN EIGENVALUE ANALYSIS, International journal of imaging systems and technology, 9(2-3), 1998, pp. 181-188
This article first provides a general introduction to the Gerchberg su
perresolution algorithm. Some specific properties of this algorithm, w
hen applied to 2D band-pass images, are then studied by means of an ei
genvalue analysis of the imaging operator. The main feature derived is
the capability to recover the do component of the unknown object that
has to be reconstructed from the noisy image available. This aspect i
s important with band-pass images of strictly positive objects, in tha
t recovering the low-frequency and do components in this case is tanta
mount to suppressing intolerable artifacts. A set of eigenpairs of the
imaging operator was calculated numerically. From the dominant eigenv
alues, the spectrum extrapolation capabilities of the method can be de
rived. From the behavior of the eigenfunctions, the capability of the
method to recover the dc component of the original object can be evalu
ated. Some of the calculated eigenfunctions are shown as examples. (C)
1998 John Wiley & Sons, Inc.