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Proceedings Paper

Use of threshold decomposition theory to derive basic properties of median filters
Author(s): Robert W. Hawley; Neal C. Gallagher
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Paper Abstract

Necessary and sufficient conditions for a binary signal to be invariant to median filtering are derived. Proof is shown that one pass of a recursive median filter on a binary signal results in a new signal that is invariant to further median filtering. A technique is described whereby threshold decomposition theory and the stacking property can be used to generalize these results so that they may be applied to arbitrary k-valued signals.

Paper Details

Date Published: 1 April 1991
PDF: 10 pages
Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); doi: 10.1117/12.44337
Show Author Affiliations
Robert W. Hawley, Purdue Univ. (United States)
Neal C. Gallagher, Purdue Univ. (United States)

Published in SPIE Proceedings Vol. 1451:
Nonlinear Image Processing II
Edward R. Dougherty; Gonzalo R. Arce; Charles G. Boncelet, Editor(s)

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