1983
DOI: 10.1109/tassp.1983.1164220
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Two-dimensional root structures and convergence properties of the separable median filter

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Cited by 55 publications
(4 citation statements)
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“…Also any finite length (L), one-dimensional signal will be reduced to a root after at most (L-I)/2 successive passes of median filtering. Nodes and Gallagher (1983) further show that these properties are also true for two-dimensional separable median filtering. Bovik et al (1983) have shown that the median filter is an extreme case of an optimal order statistic filter.…”
Section: Combined Moving Average and Median Filtering For Speckle Redmentioning
confidence: 59%
See 1 more Smart Citation
“…Also any finite length (L), one-dimensional signal will be reduced to a root after at most (L-I)/2 successive passes of median filtering. Nodes and Gallagher (1983) further show that these properties are also true for two-dimensional separable median filtering. Bovik et al (1983) have shown that the median filter is an extreme case of an optimal order statistic filter.…”
Section: Combined Moving Average and Median Filtering For Speckle Redmentioning
confidence: 59%
“…Even though its output differs from the ordinary median, it has been shown that about the same smoothness can be obtained, and computation is saved. Nodes and Gallagher (1983) proved its convergence properties.…”
Section: Combined Moving Average and Median Filtering For Speckle Redmentioning
confidence: 96%
“…The effect of a number of passes of a median filter, and the choice of the number of passes to achieve a desired effect, has been addressed in [11]. The behavior of roots and convergence properties of the two-dimensional separable median filter were characterized in [98].…”
Section: Theoretical Analysis Of Median Filtersmentioning
confidence: 99%
“…common methods is called separable median filtering [773, [86], [90], [98]. To filter the image in Figure 1.1 with a 3 x 3 separable median filter, a window width 3 median filter is first run along each of the rows of the image to produce an intermediate image, and the median is then run along each of the columns of this intermediate image to produce the final image shown in Figure 1.3.…”
Section: Introductionmentioning
confidence: 99%