Symmetry properties of the filters based on order statistics

Lasse Koskinen

doi:10.1117/12.179202

30 June 1994 Symmetry properties of the filters based on order statistics

Lasse Koskinen

Proceedings Volume 2300, Image Algebra and Morphological Image Processing V; (1994) https://doi.org/10.1117/12.179202
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

In this paper the symmetry properties of the cascaded order statistics filters are studied. The relationship between the mask and the Boolean function expression of the filter is considered. It is shown that a symmetric transformation of the mask of a cascaded filter leads to an isomorphic Boolean function expression of the filter. Using this connection certain statistical symmetry properties of the filters are derived.

Citation Download Citation

Lasse Koskinen "Symmetry properties of the filters based on order statistics", Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); https://doi.org/10.1117/12.179202

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