Median filters: Some modifications and their properties
T. Nodes, Neal C. Gallagher · IEEE Transactions on Acoustics Speech and Signal Processing · 1982
Some modifications of the median filter are given and their properties are derived. In addition, some results for standard median filters are given. It is shown that for nonmedian nth ranked-order operations, repeated application of the operation will reduce any signal to a constant. Also, it is proved that the output of a recursive median filter is invariant to subsequent passes by the same filter.