Perfect-Reconstruction Four-Tap Size-limited Filter Banks for Image Fusion Application

Perfect reconstruction of the size-limited filter banks constructed with 4-tap wavelet filters and linear boundary extension is studied. The analytic results on the perfect reconstruction of these size-limited filter banks are presented. The analytic results show that, except some extreme cases, the size-limited filter banks constructed with 4-tap orthogonal wavelets and linear boundary extension have perfect reconstruction structure without considering the real values of the wavelet filters. The proposed size-limited bank was applied to image fusion and the results are impressive.