Fuzzy cluster filter

A generalized nonlinear filter called the fuzzy cluster filter is introduced. This filter applies fuzzy clustering inside a running-window to estimate the clean output (i.e., geometrical center of the window). This filter is capable of cancelling the heavy-tailed contaminated Gaussian noise with a good performance. The results on some signals and images demonstrate the efficacy of this approach. The performance of the method is found by calculating the mean-square-error (MSE) for different signal-to-noise ratios using Monte Carlo simulations.