Abstract
The connection between morphological and stack filters is used in the analysis of the statistical properties of morphological filters. Closed-form expressions for the output distributions of morphological filters are given, and their statistical symmetry properties are analyzed. Asytotically tight bounds on the expectations of two-dimensional morphological filters, and asymptotic formulas for the variances of one-dimensional morphological filters are derived. These results form the basis for analyzing general asymptotic properties of morphological filters.
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© 1993 Springer Science+Business Media New York
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Koskinen, L., Astola, J. (1993). Asymptotic Behavior of Morphological Filters. In: Dougherty, E.R., Astola, J. (eds) Mathematical Nonlinear Image Processing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3148-7_3
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DOI: https://doi.org/10.1007/978-1-4615-3148-7_3
Publisher Name: Springer, Boston, MA
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