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11 August 1995 New results on optimality and consistency of morphological openings and closings
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Abstract
It has been recently shown that morphological openings and closings can be viewed as consistent MAP estimators of morphologically smooth signals in i.i.d. noise. We revisit this viewpoint under a different set of assumptions, which allows the explicit incorporation of geometric and morphological contraints into the noise model, i.e., the noise may now exhibit geometric structure; surprisingly, it turms out that this affects neither the optimality nor the consistency of these filters.
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Nicholaos D. Sidiropoulos, John S. Baras, and Carlos A. Berenstein "New results on optimality and consistency of morphological openings and closings", Proc. SPIE 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, (11 August 1995); https://doi.org/10.1117/12.216344
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