Ten lectures on wavelets
An introduction to wavelets
Multivariate Filter Banks Having Matrix Factorizations
SIAM Journal on Matrix Analysis and Applications
A Variational Model for P+XS Image Fusion
International Journal of Computer Vision
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In order to solve the problems that the image fusion method based on separable discrete wavelet transform is lower in spatial resolution and there is block effect in fused image, a new multispectral image fusion method based on non-separable wavelets with compactly support, symmetry, orthogonality, and dilation matrix [2,0;0,2] is proposed. A construction method of four channels 6 × 6 filter banks is presented. Using the low-pass filter constructed, multispectral images are fused. Three fusion methods called NAWS, NAWRGB and NAWL are proposed in the fusion of multispectral image and panchromatic image. Every fusion method presented outperforms the corresponding fusion method of the AWS, the AWRGB and the AWL in preserving high spatial resolution information respectively, and the higher spatial resolution fused image can be obtained. Of all fusion methods, the nonseparable additive wavelet substitution (NAWS) method has the best performance in preserving higher spatial resolution information.