Copyright © 2010 Spiros Chountasis et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The field of image restoration has seen a tremendous growth in interest
over the last two decades. The recovery of an original image from degraded
observations is a crucial method and finds application in several scientific areas including medical imaging and diagnosis, military surveillance,
satellite and astronomical imaging, and remote sensing. The proposed
approach presented in this work employs Fourier coefficients for moment-based image analysis. The main contributions of the presented technique,
are that the image is first analyzed in orthogonal basis matrix formulation
increasing the selectivity on image components, and then transmitted in
the spectral domain. After the transmission has taken place, at the receiving end the image is transformed back and reconstructed from a set of
its geometrical moments. The calculation of the Moore-Penrose inverse of matrices provides the computation framework of the method. The
method has been tested by reconstructing an image represented by an matrix after the removal of blur caused by uniform linear motions. The
noise during the transmission process is another issue that is considered
in the current work.