Moisan (2011) defines an additive image decomposition im = periodic + smooth where the periodic part shouldn't be too far from the original image. The periodic part can be used in frequency-domain analyses, to reduce the artifacts induced by non-periodicity.
L. Moisan, Periodic plus Smooth Image Decomposition,J. Math. Imaging Vision, vol. 39:2, pp. 161-179, 2011
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