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.
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页码：30 / 40
页数：11
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