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5 March 1999 Property analysis of noise-suppressing L-filters for speckle image processing
Vladimir V. Lukin, Vladimir P. Melnik, Victor I. Chemerovsky, Alexander A. Zelensky, Jaakko T. Astola, Pauli Kuosmanen, Heikki Huttunen
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Proceedings Volume 3646, Nonlinear Image Processing X; (1999) https://doi.org/10.1117/12.341083
Event: Electronic Imaging '99, 1999, San Jose, CA, United States
Abstract
The images formed by coherent imaging systems are characterized by presence of multiplicative noise with non- symmetrical p.d.f.s. The examples are the Rayleigh and one- side (negative) exponential distributions. For these cases the optimal L-filters are derived for different coefficient censoring by minimizing MSE of residual fluctuations. Some sub-optimal L-filters are considered as well. They are the Lpq-filters that use only two order statistics and the trimmed filters with symmetrical and nonsymmetrical coefficient censoring. Those filters are parametrically optimized according to the same criterion. The robust features of the considered filters are analyzed both theoretically using empirical influence functions and numerically with application of contamination noise model. As contaminating factor we exploited the salt-and-pepper noise with different probabilities and amplitudes of positive and negative spikes. Output estimate bias and variance were calculated and examined. It is shown that the use of sub-optimal filters is well motivated from different points of view.
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Vladimir V. Lukin, Vladimir P. Melnik, Victor I. Chemerovsky, Alexander A. Zelensky, Jaakko T. Astola, Pauli Kuosmanen, and Heikki Huttunen "Property analysis of noise-suppressing L-filters for speckle image processing", Proc. SPIE 3646, Nonlinear Image Processing X, (5 March 1999); https://doi.org/10.1117/12.341083
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KEYWORDS
Digital filtering
Image processing
Speckle
Image filtering
Statistical analysis
Contamination
Nonlinear filtering
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