A construction method of non-separable wavelets with dilation matrix of [1,1;1,-1] is proposed and applied to the fusion of multi-spectral images and panchromatic images with high resolution.A construction method of two-channel symmetric non-separable wavelets filter bank is also proposed,and non-separable wavelets 6×6 filter banks with compact support,symmetry,orthogonality are designed.The images are discomposed and reconstructed through additive wavelet mode with low-pass filters of the above filter bank...