Abstract
The paper is concerned with the construction of wavelet bases on the interval derived from B-splines. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments for primal and dual wavelets. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, Feauveau [4] while boundary wavelets are constructed by combination of methods from [3], [8] and [11]. By this approach, we obtain bases with small Riesz condition numbers. The other important feature of wavelet bases, the sparseness of refinement matrices, is preserved. Finally, Riesz condition numbers of scaling and wavelet bases are computed for some of the constructed bases.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
