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Computing Joint Distributions of 2D Moving Median Filters With Applications to Detection of Edges
March 1998 (vol. 20 no. 3)
pp. 340-343

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.

[1] A.C. Bovik, T.S. Huang, and D. C. Munson, "The Effect of Median Filtering on Edge Estimation and Detection," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 9, no. 2, pp. 181-194, Mar. 1987.
[2] H.A. David, Order Statistics.New York: John Wiley&Sons, 1970.
[3] D. Huang, W. Dunsmuir, and F. Liu, "R2D Exponential Weighted Moving Median Filter," Proc. Second Int'l Conf. Image Processing, pp. 621-623, World Scientific Publishing, Singapore, 1992.

Index Terms:
Image analysis, moving medians, joint distributions, edge detection, edge miss probability.
Citation:
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 and Machine Intelligence, vol. 20, no. 3, pp. 340-343, March 1998, doi:10.1109/34.667891
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