Subdivision schemes with nonnegative masks
نویسنده
چکیده
The conjecture concerning the characterization of a convergent univariate subdivision algorithm with nonnegative finite mask is confirmed.
منابع مشابه
On Multivariate Subdivision Schemes with Nonnegative Finite Masks
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 a...
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We consider the two-scale refinement equation f(x) = ∑N n=0 cnf(2x − n) with ∑ n c2n = ∑ n c2n+1 = 1 where c0, cN 6= 0 and the corresponding subdivision scheme. We study the convergence of the subdivision scheme and the cascade algorithm when all cn ≥ 0. It has long been conjectured that under such an assumption the subdivision algorithm converge, as well as the cascade algorithm converge unifo...
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We use subdivision schemes with general dilation to efficiently evaluate shape preserving approximations. To fulfill our goal the refinement rules of the schemes are obtained by the refinement masks associated to refinable ripplets, i.e. refinable functions whose integer translates form a variation diminishing basis.
متن کاملMatrix Subdivision Schemes
Subdivision schemes with matrix masks are a natural extension of the well studied case of subdivision schemes with scalar masks. Such schemes arise in the analysis of multivariate scalar schemes, in subdivision processes corresponding to shift-invariant spaces generated by more than one function, in geometric modeling where each component of the curve/surface is designed by a diierent linear co...
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ورودعنوان ژورنال:
- Math. Comput.
دوره 74 شماره
صفحات -
تاریخ انتشار 2005