The construction of B-spline orthonormal wavelet
Shu Liu · Basic Sciences Journal of Textile Universities · 2001
Based on Mallats theory of multiscale analysis, we construct the arbitrary order cardinal B spline orthogonal wavelet by using Daubechies method of orthogonal wavelet construction, and derive the general expressions for the corresponding wavelet function ψ ,the scaling function φ , the quadrangular mirror filters H and G both in spectral and spatial domains. The families of the wavelet bases generated by the arbitrary order cardinal B spline orthonormal wavelets are also suitable for Mallats wavelet decomposition and reconstruction algorithms of 1 D and 2 D signals.