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1 April 1991 Use of threshold decomposition theory to derive basic properties of median filters
Robert W. Hawley, Neal C. Gallagher Jr.
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Proceedings Volume 1451, Nonlinear Image Processing II; (1991) https://doi.org/10.1117/12.44337
Event: Electronic Imaging '91, 1991, San Jose, CA, United States
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.
© (1991) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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Robert W. Hawley and Neal C. Gallagher Jr. "Use of threshold decomposition theory to derive basic properties of median filters", Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); https://doi.org/10.1117/12.44337
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KEYWORDS
Digital filtering
Electronic filtering
Binary data
Optical filters
Nonlinear filtering
Nonlinear image processing
Image filtering
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