Trivariate Clough-Tocher Scheme for Tetrahedral Data

机译：四面体数据的三变量Clough-Tocher格式

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An interpolation scheme is described for values of position, gradient and Hesian at scattered points in three variables. The domain is assumed to have been tesselated into tetrahedra. The interpolant has local support, is globally once differentiable, piecewise polynomial, and reproduces polynomials of degree up to three exactly. The scheme has been implemented in a FORTRAN research code. (Author)

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作者
Alfeld, P.;
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年度 1984
页码 p.1-29
总页数 29
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Interpolation; Variables; Polynomials; Bivariate analysis; Fortran; Machine coding; Position(Location); Value; Gradients; Three dimensional; Solids; Triangles; Computations;

机译：插值;变量;多项式;二元分析; Fortran;机器编码;位置（位置）;值;梯度;三维;固体;三角形;计算;

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1. An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation [J] . Cavoretto R., De Rossi A., DellAccio F., Journal of Scientific Computing . 2020,第3期

机译：一种高效的四面体谢泼德插值算法
2. Variational trivariate fitting using Worsey-Piper macro elements on tetrahedral partitions^ [J] . M.A. Fortes, M. Pasadas, D. Sbibih, Mathematics and computers in simulation . 2011,第10期

机译：在四面体分区上使用Worsey-Piper宏元素进行变分三元拟合^
3. A C~1 quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions [J] . Schumaker L.L., Sorokina T., Worsey A.J. Journal of Approximation Theory . 2009,第1期

机译：在任意四面体分区上定义的C〜1二次三元宏元素空间
4. A Trivariate Polynomial-based Dynamic Key Management Scheme for Wireless Sensor Networks [C] . Ning Jianting, Yin Xinchun, Yang Ting Computational Intelligence and Security (CIS), 2011 Seventh International Conference on . 2011

机译：基于三变量多项式的无线传感器网络动态密钥管理方案
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. Tetrahedral Gradient Diffusion-Encoding Scheme with Line Scan Imaging [O] . Pradip M. Pattany 2003

机译：具有线扫描成像的四面体梯度扩散编码方案
7. An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation [O] . R. Cavoretto, A. De Rossi, F. Dell’Accio, 2020

机译：一种高效的四面体谢泼德插值算法

Trivariate Clough-Tocher Scheme for Tetrahedral Data

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