Computing Joint Distributions of 2D Moving Median Filters With Applications to Detection of Edges

Authors:
Dawei Huang;William T. M. Dunsmuir
Affiliations:
Queensland Univ. of Technology, Brisbane, Qld. Australia;Univ. of New South Wales, Sydney, N.S.W., Australia
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1998

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Estimation of 2D jump location curve and 3D jump location surface in nonparametric regression

Statistics and Computing

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Abstract

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.