Output distributions of two-dimensional median filters
Guang-Yu Liao, T. Nodes, Neal C. Gallagher · IEEE Transactions on Acoustics Speech and Signal Processing · 1985
The output distribution for the separable two-dimensional median filter and the square window two-dimensional median filter are derived for several cases, including first-order and multivariate output distributions with white noise, signals plus white noise, and general multivariate input images. These are then used to compute some specific statistics in several illustrative examples.