Statistical analysis of two dimensional median filtered images

Nodes, T.; Liao, G.; Gallagher, Neal C.

doi:10.1109/icassp.1984.1172539

Cited by 6 publications

(1 citation statement)

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“…Many authors have since analyzed the statistical properties and the root structures of the standard median (SM) filters [2], [6], [8], [9], [16]- [19]. Some one-dimensional applications can be found in [4], [11], [20], [29], and some image processing applications in [5], [10], [12], [15], [21], [22], [31].…”

Section: Introductionmentioning

confidence: 99%

On root structures and convergence properties of weighted median filters

Chen

Yang

Gabbouj

1995

Circuits Systems and Signal Process

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Abstract. A weighted median filter is a nonlinear digital filter consisting of a window of length 2N + 1 and a weight vector W --(W-N ..... Wo ..... WN). A root signal of a median type filter is a signal that is invariant to the filter. However, not all weighted median filters possess the convergence property. In this paper, we shall study the root structures and the convergence behavior of a subclass of weighted median filters, called class-1 filters, which is symmetric in its weight vector. We shall introduce an important parameter, called feature value, and show that any one-dimensional unappended signal of length L will converge to a root signal in at most L-2 1 3 2(2NW2-p) passes of a class-1 filter with window width 2N + 1 and the feature value p.

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