期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 100, 期 -, 页码 30-40出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2021.08.028
关键词
Powell-Sabin triangulation; Quartic splines; Bernstein basis; Blending functions
资金
- PAIDI programme of the Junta de Andalucia
- University of Granada
This paper investigates the characterization of Powell-Sabin triangulations for constructing bivariate quartic splines of class C-2. The relationship between the triangle and edge split points obtained through refinement of each triangle is used to establish the result. A normalized representation of the splines in the C-2 space is provided for triangulations that meet the established characterization.
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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