Algebraic Realization Theory of Two-Dimensional Filters
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The purpose of this communication is to provide a first insight into the prob lem of getting a recursive structure for two-dimensional filters via the algebraic realization theory. The line undertaken here has several points of contact with the algebraic realization theory of bilinear maps [1,2].
[1] R. Kálmán. Pattern Recognition Properties of Multilinear Machines , 1968 .
[2] Ettore Fornasini,et al. On the Internal Structure of Bilinear Input-Output Maps , 1973 .