摘要
A degree elevation formula for multivariate simplex splines was given by Micchelli and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box splines. To this end, we utilize a relation due to Dahmen and Micchelli that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2].
A degree elevation formula for multivariate simplex splines was given by Micchelli and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box splines. To this end, we utilize a relation due to Dahmen and Micchelli that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2].
