Open Access
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


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.


Download Citation

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.


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

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

Keywords: image filtering algorithm , robust estimators , Spatial autoregressive model

Rights: Copyright © 2009 Brazilian Statistical Association

Vol.23 • No. 2 • December 2009
Back to Top