A. Desantis et al., SPACE-VARIANT RECURSIVE RESTORATION OF NOISY IMAGES, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 41(4), 1994, pp. 249-261
A new approach to the modelling and filtering problems of nonhomogeneo
us images is proposed. The main assumption is that the whole image can
be modelled by a collection of open subregions where the 2-D signal i
s regular enough to be well described by a smooth two-dimensional Gaus
sian process. The boundary points between two adjacent subregions are
the image edges which represent sharp discontinuities in the signal di
stribution. A non-stationary state-space representation with structura
l information about image edges is then obtained. This allows the mode
l to vary, adapting to the presence of spatial discontinuities. The re
ported simulation results show high filter performances.