IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 54, pp. 1800-1808, 2007. On the Partial Realization of Noncausal 2-D Linear Systems L. Ntogramatzidis, M. Cantoni, R. Yang Abstract The problem of partial realization is to construct a latent variable model which matches a specified input-output behavior over a bounded frame of interest. In this paper, an algorithm is proposed for constructing a partial realization from the Toeplitz kernel of a possibly noncausal 2-D linear system. By construction, the resulting latent variable model and corresponding boundary conditions comprise four components, each with recursively computable structure. Key words: Noncausal 2-D systems, nearest neighbour models (NNMs), partial realization.