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Analysis of weighted median filters based on inequalities relating the weights (1992)

Prasad, Mohit K. ; Lee, Yong H.

Springer

Circuits, systems and signal processing 11 (1992), S. 115-136

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ISSN: 1531-5878

Source: Springer Online Journal Archives 1860-2000

Topics: Electrical Engineering, Measurement and Control Technology

Notes: Abstract By considering all orderings of the input samples, which are discrete-time continuous-valued, it is shown here that a weighted median (WM) filter of spanN can be specified unambiguously by 2N−1 consistent linear inequalities relating the weights. This specification is identical to that of a self-dual threshold function with the same weights. It is also shown that WM filters with symmetric weights can be specified by ternary threshold functions. Based on these inequalities, properties of WM filters which can be used to check equivalence of some WM filters are derived.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01189223

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