Construction of Dual Multiple Knot B-Spline Wavelets on Interval

The paper is concerned with the construction of biorthogonal multiple knot B-spline(MKBS) scaling functions and multiple knot B-spline wavelet (MKBSW) basis functions. The resulting bases are on the unit interval with the desired number of vanishing wavelet moments. Moreover, in order to be the same the general structure of MKBS and MKBSW basis functions, a new basis of MKBS is introduced. This arises a significant decrease in the computational costs.