In order to restrain the pseudo-Gibbs phenomena in image denoising applications caused by the contourlet transform or the wavelet-based contourlet transform,a geometrical image transform is constructed by combining 2D wavelet transform and nonsubsampled directional filter banks.The wavelet transform removes the computational redundancy of the Laplacian Pyramid filters(LDF),while the nonsubsampled filter banks enable the proposed method to be shift-invariant.To assess the applicability of the proposed method...