Lagrange interpolations using bivariate C2 quintic supersplines on double Clough-Tocher refinements

被引:1
|
作者
Liu, Huan-Wen [1 ]
Fan, Le-Le [2 ]
机构
[1] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China
[2] Hechi Inst, Dept Math, Yizhou 546300, Guangxi, Peoples R China
关键词
Bivariate quintic superspline; Local Lagrange interpolation set; Lagrange interpolation pair; Double Clough-Tocher refinement;
D O I
10.1016/j.camwa.2009.07.051
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a local Lagrange interpolation set for a bivariate quintic superspline space defined on the triangulation (Delta) over bar (DCT) is constructed, where (Delta) over bar (DCT) can be gained through refining certain triangles in an arbitrary regular triangulation Delta by double Clough-Tocher refinements. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1636 / 1644
页数:9
相关论文
共 5 条
  • [1] A C2 trivariate macro-element based on the Clough-Tocher-split of a tetrahedron
    Alfeld, P
    Schumaker, LL
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2005, 22 (07) : 710 - 721
  • [2] Local Lagrange Interpolations Using Bivariate C-2 Splines of Degree Seven on Triangulated Quadrangulations
    Luo, Xuqiong
    Du, Qikui
    [J]. JOURNAL OF MATHEMATICS, 2013, 2013
  • [3] Maximum Safe Speed Estimation Using Planar Quintic Bezier Curve with C2 Continuity
    Ibrahim, Mohamad Fakharuddin
    Misro, Md Yushalify
    Ramli, Ahmad
    Ali, Jamaludin Md
    [J]. PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [4] C2 interpolation of spatial data subject to arc-length constraints using Pythagorean-hodograph quintic splines
    Huard, Mathieu
    Farouki, Rida T.
    Sprynski, Nathalie
    Biard, Luc
    [J]. GRAPHICAL MODELS, 2014, 76 : 30 - 42
  • [5] A new entry towards diastereomeric C1,C2,C3-functionalized [3]ferrocenophanes using a solid state mediated double 1,4-Michael addition type ring closing approach
    Halder, Biplob
    Barik, Tulasi
    Chatterjee, Saurav
    [J]. NEW JOURNAL OF CHEMISTRY, 2023, 47 (47) : 21994 - 22006