A C (1) Multivariate Clough-Tocher Interpolant

Sorokina T

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A C (1) Multivariate Clough-Tocher Interpolant

机译：A C（1）多元Clough-Tocher插值

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摘要

We show that in dimensions four and higher, to insure a smooth interpolant, additional geometric constraints must be imposed on the generalized Clough-Tocher split introduced in Worsey and Farin (Constr. Approx. 3:99-110, [1987]).

机译：我们表明，在第四个维度或更高维度上，为了确保平滑的插值，必须对Worsey和Farin中引入的广义Clough-Tocher拆分施加附加的几何约束（约3：99-110，[1987]）。

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来源
《Constructive approximation: An international journal for approximations and expansions》 |2009年第1期|共19页
作者
Sorokina T;
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正文语种 eng
中图分类数值分析;
关键词
Piecewise cubic interpolation; Bernstein-Bezier form; Worsey-Farin; Clough-Tocher; n-simplices;

机译：分段三次插值;Bernstein-Bezier形式;Worsey-Farin;Clough-Tocher;n-单形;

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专利

1. A C (1) Multivariate Clough-Tocher Interpolant [J] . Sorokina T Constructive approximation: An international journal for approximations and expansions . 2009,第1期

机译：A C（1）多元Clough-Tocher插值
2. Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation [J] . Sbibih D., Serghini A., Tijini A. Applied mathematics and computation . 2015,第Null期

机译：精细四边形上基于特殊多元二次样条空间的超收敛局部拟插值
3. Raising the approximation order of multivariate quasi-interpolants [J] . M. Lamnii, A. Mazroui, A. Tijini BIT numerical mathematics . 2014,第3期

机译：提高多元拟插值的逼近阶
4. A Quartic Clough-Tocher Interpolant [C] . Xiang Fang, Stephen Mann International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications . 2018

机译：四个克利仑 - 托克特interpolant
5. Scattered data interpolation using Clough-Tocher type interpolants. [D] . Kashyap, Praveen. 1993

机译：使用Clough-Tocher类型插值的分散数据插值。
6. Multivariate Approximation by Locally Blended Univariate Interpolants [O] . Garrett Birkhoff, James C. Cavendish, William J. Gordon 1974

机译：局部混合单变量插值的多元逼近
7. An iterative Clough-Tocher interpolant [O] . Farin G., Kashyap P. 1992

机译：Clough-Tocher迭代插值
8. Quasi Interpolants and Approximation Power of Multivariate Splines. [R] . Boor, 1989

机译：多元样条的拟插值和逼近幂。

A C (1) Multivariate Clough-Tocher Interpolant

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