Abstract
The generation of isotropic artificial series in two or three dimensions by the autoregressive process is of considerable interest for the purpose of modeling environmental properties such as ore grade or reservoir porosity. The relations needed to produce bilateral symmetry using the one-sided autoregressive recursion equations have been attained on the square net and on the isometric lattice by an alternation procedure. In the case of the square net, the one-sided autoregressive (AR) process is alternated between the two diagonals of the net, while in three dimensions, the alternation takes place among the four body diagonals of the isometric cell.
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Sharp, W.E., Aroian, L.A. The generation of multidimensional autoregressive series by the herringbone method. Mathematical Geology 17, 67–79 (1985). https://doi.org/10.1007/BF01030368
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DOI: https://doi.org/10.1007/BF01030368