Improvement of multi-mode-PCA based filtering using fourth order cumulants

The main idea of the paper is to replace the covariance matrix involved in TUCKALS3 algorithm with the fourth order cumulant slice matrix of the data tensor n-mode vectors in order to eliminate the Gaussian components of the additive noise. The good qualitative results of this new multi-mode filtering method are shown in the case of correlated noise reduction in a color image and a polarized seismic wave, modelled by third order tensors.