Bivariate C~1 Cubic Spline Space Over a Nonuniform Type-2 Triangulation and its Subspaces with Boundary Conditions

HUAN-WEN LIu; DON HONG; DUN-QIAN CAO

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Bivariate C~1 Cubic Spline Space Over a Nonuniform Type-2 Triangulation and its Subspaces with Boundary Conditions

机译：非均匀2型三角剖分及其边界上的子空间上的双变量C〜1三次样条空间

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摘要

In this paper, we discuss the algebraic structure of bivariate C~1 cubic spline spaces over nonuniform type-2 triangulation and its subspaces with boundary conditions. The dimensions of these spaces are determined and their local support bases are constructed.

机译：本文讨论了非均匀2型三角剖分上的双变量C〜1三次样条空间的代数结构及其带边界条件的子空间。确定这些空间的尺寸，并构建它们的本地支撑基础。

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来源
《Computers & mathematics with applications》 |2005年第12期|p.1853-1865|共13页
作者
HUAN-WEN LIu; DON HONG; DUN-QIAN CAO;
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作者单位

Department of Mathematics and Computer Science Guangxi University for Nationalities Nanning, Guangxi 530006, P.R. China;

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正文语种 eng
中图分类计算机的应用;
关键词
bivariate C~1 cubic spline space; boundary conditions; dimension and basis; nonuni-form type-2 triangulation;

机译：二元C〜1三次样条空间;边界条件;维数和基;非均匀2型三角剖分;

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2. Some performances of local bivariate quadratic C-1 quasi-interpolating splines on nonuniform type-2 triangulations [J] . Dagnino C, Lamberti P Journal of Computational and Applied Mathematics . 2005,第1期

机译：非均匀2型三角剖分上局部二元二次C-1拟插值样条的一些性能
3. Dimensions of bivariate C~1 cubic spline spaces over unconstricted triangulations with valence six [J] . Huan-Wen Liu, Na Yi Journal of applied functional analysis . 2010,第4期

机译：价为6的无约束三角剖分上的二元C〜1三次样条空间的维数
4. Local Lagrange Interpolations by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations [C] . Jinhong Yu, Huan-Wen Liu The Second International Joint Conference on Computational Science and Optimization(CSO 2009)（2009 国际计算科学与优化会议）论文集 . 2009

机译：非均匀2型三角剖分带边界条件的双变量三次样条的局部Lagrange插值
5. Bivariate cubic L1 splines and applications [D] . Zhang, Wei 2007

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6. An Automatic Method for Nucleus Boundary Segmentation Based on a Closed Cubic Spline [O] . Zhao Feng, Anan Li, Hui Gong, 2016

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7. Bivariate C1 cubic spline space over a nonuniform type-2 triangulation and its subspaces with boundary conditions [O] . Liu Huan-Wen, Hong Don, Cao Dun-Qian 2005

机译：非均匀2型三角剖分上的双变量C1三次样条空间及其带边界条件的子空间

Bivariate C~1 Cubic Spline Space Over a Nonuniform Type-2 Triangulation and its Subspaces with Boundary Conditions

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