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<p><b>Abstract</b>—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.</p>
Image analysis, moving medians, joint distributions, edge detection, edge miss probability.
Dawei Huang, William T.M. Dunsmuir, "Computing Joint Distributions of 2D Moving Median Filters With Applications to Detection of Edges", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 20, no. , pp. 340-343, March 1998, doi:10.1109/34.667891
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