Interval interpolating wavelets with robust boundary filters

This paper studies the mathematical mechanism of the generalized interpolat ing filters and gives the corresponding parametric representations. On the basis of the parametric representations, a novel criterion and algorithm ar e proposed to design interval interpolating wavelets with robust boundary f ilters. Furthermore, some examples are designed and their performances in d ata compression are investigated. Both the theoretical analysis and the exp erimental results show that such an interval interpolating wavelet can effe ctively suppress the boundary effect.