局部生成的三角形网格上的厄米氏c1样条

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI:10.18514/mmn.2022.3399

L. Stachó

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引用次数: 0

摘要

我们对三角形网格上所有可能的局部线性过程进行分类，得到边缘基本函数具有仿射均匀形状条件的多项式c1样条函数，并在网格三角形的顶点拟合9值和梯度数据。其中有一个独特的过程具有形状函数和5次基本多项式，其他所有可容许的过程都是它的高次摄动。

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Locally generated Hermitian C1-splines on triangular meshes

We classify all possible local linear procedures on triangular meshes resulting in polynomial C1-spline functions with affinely uniform shape conditions for the basic functions at the edges, and fitting the 9 value and gradient data at the vertices of the mesh triangles. There is a unique procedure among them with shape functions and basic polynomials of degree 5 and all other admissible procedures are its perturbations with higher degree.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.