Fuzzy weighted median filters

Yao Nie, Kenneth E. Barner · IEEE International Conference on Acoustics Speech and Signal Processing · 2002

Combining spatial and rank (SR) order information into filtering methods has been exploited in recent nonlinear filtering algorithms. Fuzzy ordering theory incorporates sample spread information into the SR ranking framework and develops the concepts of fuzzy ranking and fuzzy order statistic. In this paper, fuzzy concepts are utilized to generalize weighted median filters and optimization of the filter parameters is discussed. Simulation results show that the proposed fuzzy weight median (FWM) filter significantly outperforms its crisp counterpart and existing FWM techniques in the literature in image denoising and image zooming.

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