Carravetta, F.White, L.2012-06-142012-06-142011Proceedings of the 9th IEEE International Conference on Control and Automation (ICCA), held in Santiago, Chile, 19-21 December, 2011: pp.1102-110797814577147571948-34491948-3457http://hdl.handle.net/2440/71535The smoothing problem is considered for a two dimensional (2D) Gaussian Markov field defined on a finite rectangular lattice under Gaussian additive noise. The Gaussian Markov field is assumed to be generated by a (known) local correlation linking each site with the eight sites surrounding it in the lattice. In a former paper it has been shown that for such field (and with a further assumption of homogeneity that we here relax) a 2D realisation can be built up. Such realisation result represents the basis for the present paper, where a 2D-recursive optimal-smoothing algorithm is derived. Even though based on the realisation result, the present paper is nevertheless self-contained.en© Copyright 2012 IEEEConference paper002011819710.1109/ICCA.2011.61378962-s2.0-8485899131424979White, L. [0000-0001-6660-0517]