Computing joint distributions of 2D moving median filters with applications to detection of edges
Dawei Huang, William T. M. Dunsmuir · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1998
This paper derives the joint distribution of medians over moving windows in a two dimensional noisy image. The general formulation presented allows derivation of the probability distribution, needed to evaluate the probability of failing to detect an edge when present ("edge miss probability") and the probability of falsely detecting a nonexistent edge.