Spatial ARMA models and its applications to image filtering
Oscar Bustos, Silvia Ojeda, and Ronny Vallejos
Source: Braz. J. Probab. Stat. Volume 23, Number 2 (2009), 141-165.
Abstract
The objective of this review paper is to summarize the main properties of the spatial ARMA models and describe some of the well-known methods used in image filtering based on estimation of spatial autoregressive models. A new proposal based on robust RA estimation is also presented. Previous studies have shown that under additive outliers the RA estimator is resistant to a small percentage of contamination and behaves better than the LS, M, and GM estimators. A discussion about how well these models fit to a digital image is presented. Some applications using real images are presented to illustrate how an image is filtered in practice.
Keywords: Spatial autoregressive model; robust estimators; image filtering algorithm
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Permanent link to this document: http://projecteuclid.org/euclid.bjps/1256562755
Digital Object Identifier: doi:10.1214/08-BJPS019
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