Stochastic modelling and 3D minimum variance recursive estimation of image sequences
type: Item
instance of: scholarly article
title: Stochastic modelling and 3D minimum variance recursive estimation of image sequences
zbMATH Open document ID: 0961.93053
DOI: 10.1023/A:1008406707503
published in: Multidimensional Systems and Signal Processing
publication date: 2001-05-29T00:00:00Z
review text: The main goals of the paper are (1) to investigate the noisy image sequence restoration problem, and (2) to propose a causal, 3D, minimum variance, recursive filter with edge-preserving properties. The proposed spatio-temporal filter is derived according to the assumption that the 3D signal can be modelled by an ensemble of smooth 3D Gaussian random fields. In the filtering algorithm, on each frame of the image sequence, the 3D filtered estimate is obtained as the combination of three 1D estimates whose optimality is proved. This algorithm property is a consequence of the state-space representation of the image sequence, which is composed of three 1D dynamic state equations with independent white noise inputs, and follows from the basic smoothness, stochastic, and inhomogeneity assumptions. Another important feature of the filter is that it does not require motion estimation, image non-stationarities being taken into account by the spatio-temporal variant structure of the filter. Structural information on 3D edge location is included in the signal model, being obtained by means of a 3D noise smoothing difference operator. Numerical results demonstrate good performance both in terms of Signal-to-Noise-Ratio Improvement (SNRI) and of visual quality of restored images. Satisfactory results are also obtained for low values of SNR, which usually provide a critical behaviour of motion compensated filters.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 93A30
zbMATH DE Number: 1359933
zbMATH Keywords: stochastic modelling
zbMATH Keywords: image processing
zbMATH Keywords: sequence restoration problem
zbMATH Keywords: 3D, minimum variance, recursive filter
zbMATH Keywords: edge-preserving properties
author: Leopoldo Jetto
MaRDI profile type: Publication
full work available at URL: a:1008406707503
OpenAlex ID: W2029454615
description: scientific article; zbMATH DE number 1359933