On Multivariate Subdivision Schemes with Nonnegative Finite Masks
نویسندگان
چکیده
We study the convergence of multivariate subdivision schemes with nonnegative finite masks. Consequently, the convergence problem for the multivariate subdivision schemes with nonnegative finite masks supported on centered zonotopes is solved. Roughly speaking, the subdivision schemes defined by these masks are always convergent, which gives an answer to a question raised by Cavaretta, Dahmen and Micchelli in 1991.
منابع مشابه
Subdivision schemes with nonnegative masks
The conjecture concerning the characterization of a convergent univariate subdivision algorithm with nonnegative finite mask is confirmed.
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