Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes
Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes
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DOI：
10.1137/050638217
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发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
N. Dyn;D. Levin;Jungho Yoon
中科院分区：
文献类型：
--
作者：
N. Dyn;D. Levin;Jungho Yoon
本文研究非平稳细分格式。首先，我们得到了新的充分条件$C^\nu$光滑的计划。其次，提出了一类新的基于高斯插值的200万点非平稳细分格式。这些格式被证明是$C^{L+\mu}$，其中$L\在{\mathbb Z}+$中，$\mu\在（0，1）$中，其中L是已知的$2m$-点Deslauriers-Dubuc插值格式的整数光滑阶.
This paper is concerned with nonstationary subdivision schemes. First, we derive new sufficient conditions for $C^\nu$ smoothness of such schemes. Next, a new class of interpolatory $2m$-point nonstationary subdivision schemes based on Gaussian interpolation is presented. These schemes are shown to be $C^{L+\mu}$ with $L\in{\mathbb Z}_+$ and $\mu\in(0,1)$, where L is the integer smoothness order of the known $2m$-point Deslauriers–Dubuc interpolatory schemes.