A geometric characterization of Powell-Sabin triangulations allowing the construction of C2 quartic splines

被引：2

作者：

Barrera, D. ^{[1
]}

Eddargani, S. ^{[1
,2
]}

Ibanez, M. J. ^{[1
]}

Lamnii, A. ^{[2
]}

机构：

[1] Univ Granada, Dept Appl Math, Campus Fuentenueva S-N, Granada 18071, Spain

[2] Univ Hassan First, FST, MISI Lab, Settat, Morocco

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 100卷

关键词：

Powell-Sabin triangulation; Quartic splines; Bernstein basis; Blending functions; QUASI-INTERPOLANTS; NORMALIZED BASIS; FAMILY; SPACE;

D O I：

10.1016/j.camwa.2021.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the characterization of Powell-Sabin triangulations allowing the construction of bivariate quartic splines of class C-2. The result is established by relating the triangle and edge split points provided by the refinement of each triangle. For a triangulation fulfilling the characterization obtained, a normalized representation of the splines in the C-2 space is given.

引用

页码：30 / 40

页数：11

共 27 条

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