Statistical Threshold Design for the Two-State Signal-Dependent Rank Order Mean Filter

Michael S. Moore and Sanjit K. Mitra
Department of Electrical and Computer Engineering
University of California, Santa Barbara
Santa Barbara, CA 93106 USA
msmoore [at]


The signal-dependent rank order mean (SD-ROM) filter is effective at removing high levels of impulse noise from 2- D scalar-valued signals. Excellent results have been presented for both a two-state and a multi-state version of the filter. However, implementation of the two-state SD-ROM filter requires the selection of a set of threshold values. In this paper, we propose a method for choosing the thresholds based on a statistical characterization of an input image. The method approximates the histogram of an image with a weighted sum of Gaussian distributions. Using the statistical model and the input distributions, the likelihood of correctly identifying impulses is estimated as a function of the thresholds. By maximizing the likelihood of correct detection, optimal thresholds are predicted. The performance of the algorithm using the predicted thresholds is compared to the optimal performance found using a brute-force search.
[PDF] [BibTex]
M. S. Moore and S. K. Mitra,
IEEE International Conference on Image Processing (ICIP 2000), vol. 1, pp. 904-907, Vancouver, Canada, Sep. 2000.
Node ID: 314 , DB ID: 111 , Lab: IPL , Target: Proceedings
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