Convergence of irregular Hermite subdivision schemes
We consider in this paper the convergence of Hermite subdivision schemes related to the irregular grids X. It is reduced to the convergence of a scalar subdivision scheme, so the results concerning perturbation of convergent scalar subdivision schemes are applied. For interpolatory subdivision schemes H(X), with the irregular grid X which is equivalent to the regular grid X* in a suitable sense, we proved that the convergence of H(X) is implied by that of H(X*). Our arguments work in the settings of L(p)-convergence and uniform convergence. (C) 2010 Elsevier B.V. All rights reserved.
hermite subdivision scheme irregular grid interpolatory subdivision scheme associated subdivision scheme difference subdivision scheme