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December 2009 Spatial ARMA models and its applications to image filtering
Oscar Bustos, Silvia Ojeda, Ronny Vallejos
Braz. J. Probab. Stat. 23(2): 141-165 (December 2009). DOI: 10.1214/08-BJPS019

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.

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Oscar Bustos. Silvia Ojeda. Ronny Vallejos. "Spatial ARMA models and its applications to image filtering." Braz. J. Probab. Stat. 23 (2) 141 - 165, December 2009. https://doi.org/10.1214/08-BJPS019

Information

Published: December 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1298.62162
MathSciNet: MR2575430
Digital Object Identifier: 10.1214/08-BJPS019

Rights: Copyright © 2009 Brazilian Statistical Association

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Vol.23 • No. 2 • December 2009
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