Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
نویسنده
چکیده
We study the necessary and sufficient conditions for the generation of polynomials by stationary subdivision schemes, and we show how to derive appropriate quasiinterpolation rules that have the optimal approximation order. We show that these conditions hold in the context of non-uniform subdivision as well, and we demonstrate how they can be used for the construction of stationary non-uniform subdivision schemes that have a prescribed approximation power.
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عنوان ژورنال:
- Computer Aided Geometric Design
دوره 20 شماره
صفحات -
تاریخ انتشار 2003