Analysis of asymptotically equivalent binary subdivision schemes

Analysis of asymptotically equivalent binary subdivision schemes
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DOI:
10.1006/jmaa.1995.1256
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发表时间:
1995-07
影响因子:
1.3
通讯作者:
N. Dyn;D. Levin
N. Dyn;D. Levin
中科院分区:
数学3区
文献类型:
--
作者:
N. Dyn;D. Levin

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给出了非平稳均匀细分格式,包括一些重要的例子,如上函数和指数样条。将细分格式的多元分析推广到一类非平稳格式,它们与收敛的平稳或非平稳格式是渐近等价的。
Non-stationary uniform subdivision schemes are presented, including some important examples, as the up-function and exponential splines. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes.