ANALYSIS OF UNIVARIATE NONSTATIONARY SUBDIVISION SCHEMES WITH APPLICATION TO GAUSSIAN-BASED INTERPOLATORY SCHEMES

NIRA DYN; DAVID LEVIN; JUNGHO YOON

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ANALYSIS OF UNIVARIATE NONSTATIONARY SUBDIVISION SCHEMES WITH APPLICATION TO GAUSSIAN-BASED INTERPOLATORY SCHEMES

机译：统一非平稳细分方案的分析及其在基于高斯插值方案中的应用

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This paper is concerned with nonstationary subdivision schemes. First, we derive new sufficient conditions for Cν 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 CL+μ with L ∈ Z+ and μ ∈ (0, 1), where L is the integer smoothness order of the known 2m-point Deslauriers–Dubuc interpolatory schemes.

机译：本文涉及非平稳细分方案。首先，我们为此类方案的Cν平滑度导出了新的充分条件。接下来，提出了一种基于高斯插值的新型插值2m点非平稳细分方案。这些方案显示为CL +μ，其中L∈Z +和μ∈（0，1），其中L是已知2m点Deslauriers–Dubuc插值方案的整数光滑度阶。

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《SIAM Journal on Mathematical Analysis》 |2008年第2期|共19页
作者
NIRA DYN; DAVID LEVIN; JUNGHO YOON;
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正文语种 eng
中图分类数学分析;
关键词
nonstationary subdivision; radial basis function; Gaussian; asymptotical equivalence; interpolation;

机译：非平稳细分径向基函数高斯渐近等价插值;

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专利

1. ANALYSIS OF UNIVARIATE NONSTATIONARY SUBDIVISION SCHEMES WITH APPLICATION TO GAUSSIAN-BASED INTERPOLATORY SCHEMES [J] . NIRA DYN, DAVID LEVIN, JUNGHO YOON SIAM Journal on Mathematical Analysis . 2008,第2期

机译：统一非平稳细分方案的分析及其在基于高斯插值方案中的应用
2. NONSTATIONARY INTERPOLATORY SUBDIVISION SCHEMES REPRODUCING HIGH-ORDER EXPONENTIAL POLYNOMIALS [J] . Zhou Jie, Zheng Hongchan, Li Zhaohong, The Rocky Mountain journal of mathematics . 2019,第7期

机译：再现高阶指数多项式的非营养性插值细分计划
3. A Family of Binary Univariate Nonstationary Quasi-Interpolatory Subdivision Reproducing Exponential Polynomials [J] . Zhang Baoxing, Zheng Hongchan, Pan Lulu, Mathematical Problems in Engineering . 2019,第PTa22期

机译：一系列二元单变量非营养性准插值细分再现指数多项式
4. Construction and Analysis of Zone-dependent Interpolatory/Non-interpolatory Stochastic Subdivision Schemes for Non-regular Data [C] . Xiaoyun Si, Jean Baccou, Jacques Liandrat International conference on mathematical methods for curves and surfaces . 2014

机译：非常规数据的区域相关插值/非插值随机细分方案的构建和分析
5. A factored, interpolatory subdivision scheme for surfaces of revolution. [D] . Schaefer, Scott David. 2003

机译：旋转曲面的因子分解插值细分方案。
6. Applications of Different Weighting Schemes to Improve Pathway-Based Analysis [O] . Sook S. Ha, Inyoung Kim, Yue Wang, 2011

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7. ANALYSIS OF UNIVARIATE NON-STATIONARY SUBDIVISION SCHEMES WITH APPLICATION TO GAUSSIAN-BASED INTERPOLATORY SCHEMES [O] . Nira Dyn, David Levin, Jungho Yoon 2009

机译：基于高斯插值方案的单变量非平稳细分方案分析
8. Hermite-Interpolatory Subdivision Schemes [R] . Kuijt, F., Van Damme, R. M. J. 1998

机译：Hermite-Interpolatory细分方案

ANALYSIS OF UNIVARIATE NONSTATIONARY SUBDIVISION SCHEMES WITH APPLICATION TO GAUSSIAN-BASED INTERPOLATORY SCHEMES

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