Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks

[摘要] In this paper, the convergence of the cascade algorithm in a Sobolev space is considered if the refinement mask is perturbed. It is proved that the cascade algorithm corresponding to a slightly perturbed mask converges. Moreover, the perturbation of the resulting limit function is estimated in terms of that of the masks. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-12-01

[关键词] cascade algorithm;Sobolev space;joint spectral radius;perturbation of refinable functions