Some theory of multistage order statistic filters

Abstract
The removal of noise by a class of order statistic filters, called multistage order statistic filters or multiwindow filters, is described. These filters take 'ranks of ranks'. A new filter type is defined and its equivalence under special circumstances to a filter defined in the literature is shown. This filter's deterministic and statistical properties are explored. This filter is believed to be the best available for smoothing high signal-to-noise ratio images.

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