Hermite B-Splines: n-Refinability and Mask Factorization

This paper deals with polynomial Hermite splines. In the first part, we provide a simple and fast procedure to compute refinement mask of B-splines any order in case general scaling factor. Our is solely derived from reproduction properties satisfied by splines it does not require explicit construction or evaluation basis functions. The second part discusses factorization B-spline masks terms augmented Taylor operator, which shown be minimal annihilator for space discrete monomial sequences fixed degree. All our results can use, particular, context subdivision schemes multi-wavelets.