Space-variant recursive restoration of noisy images

Author

De Santis, Alfredo ; Germani, A. ; Jetto, L.

Author_Institution

Dipartimento di Inf. e Sistemistica, Rome Univ., Italy

Volume

41

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

249

Lastpage

261

Abstract

A new approach to the modelling and filtering problems of nonhomogeneous 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 is regular enough to be well described by a smooth two-dimensional Gaussian process. The boundary points between two adjacent subregions are the image edges which represent sharp discontinuities in the signal distribution. A non-stationary state-space representation with structural information about image edges is then obtained. This allows the model to vary, adapting to the presence of spatial discontinuities. The reported simulation results show high filter performances

Keywords

filtering and prediction theory; image reconstruction; noise; state-space methods; boundary points; filtering problems; modelling; noisy images; nonhomogeneous images; nonstationary state-space representation; signal distribution; smooth two-dimensional Gaussian process; space-variant recursive restoration; Additive noise; Filtering; Hidden Markov models; Humans; Image edge detection; Image restoration; Signal restoration; Switches; Two dimensional displays; Wiener filter;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.285704

Filename

285704