Convergence of Multivariate Non-Stationary Vector Subdivision Schemes

Any non-stationary subdivision scheme is associated with masks that may vary from one scale to the next finer one. In this paper we investigate the convergence of non-stationary vector subdivision schemes in Zd . In particular, we present a strategy for deriving non-stationary difference subdivision schemeswhose zero convergence guarantee the convergence of the original schemes. This strategy is similar to the one presented in previous works where the convergence and the regularity of stationary multivariate vector subdivision schemes is analyzed