Fuzzy Weighted Average Filtering for Mixture Noises
Qing Xu, Ma Liang, Mingchu Li, Wei Wang, Jing Cai, Roberto Brunelli, Stefano Messelodi
Abstract
Qing Xu, Ma Liang, Mingchu Li, Wei Wang, Jing Cai, Roberto Brunelli, Stefano Messelodi
Abstract
The classic nonlinear filter performs well in impulse noise suppression and edge preserving. However, the classic nonlinear filtering is not good at reducing the mixture of Gaussian noise and impulse noise. In this paper, we investigate the nonlinear filtering techniques to eliminate the mixture of impulse noise and Gaussian noise. Based on fuzzy theory, we present a weighted average filter by making use of the fuzzy membership functions to optimize the weights of the filter. Computational results, which have been obtained from experiments for noise attenuation, indicate that the new algorithm is promising.
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The classic nonlinear filter performs well in impulse noise suppression and edge preserving. However, the classic nonlinear filtering is not good at reducing the mixture of Gaussian noise and impulse noise. In this paper, we investigate the nonlinear filtering techniques to eliminate the mixture of impulse noise and Gaussian noise. Based on fuzzy theory, we present a weighted average filter by making use of the fuzzy membership functions to optimize the weights of the filter. Computational results, which have been obtained from experiments for noise attenuation, indicate that the new algorithm is promising.
Key concepts: Impulse noise, Gaussian noise, Value noise, Salt-and-pepper noise, Median filter, Gradient noise, Nonlinear filter, Noise measurement