Asymptotic behavior of morphological filters |
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| Authors: | Lasse Koskinen Jaakko Astola |
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| Affiliation: | (1) Department of Mathematical Sciences, Tampere University, Tampere, Finland |
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| 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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| Keywords: | morphological filters stack filters statistical properties asymptotic analysis |
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