A simple and efficient new algorithm to increase the regularity and vanishing moments of biorthogonal wavelets

We present an elegant way to construct a highorder scheme to elevate the degree of regularity and the vanishing moments of wavelets at any order s. To this end, we consider a wavelet family orthonormal or biorthonormal and with an iterative process using a compact operator we build others wavelets (existing or none) which provides useful properties as the elevation of the regularity and vanishing moments. The created wavelets family are biorthogonal. Finally, we build a simple algorithm which computes new filters from the initial data.