A New Class of Trigonometric B-Spline Curves

被引：2

作者：

Albrecht, Gudrun ^{[1
]}

Mainar, Esmeralda ^{[2
]}

Pena, Juan Manuel ^{[2
]}

Rubio, Beatriz ^{[2
]}

机构：

[1] Univ Nacl Colombia, Sch Math, Medellin Campus, Medellin 4309511, Colombia

[2] Univ Zaragoza, Dept Appl Math, Univ Res Inst Math & Its Applicat IUMA, Zaragoza 50009, Spain

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 08期

关键词：

trigonometric curves; B-splines; B-basis; total positivity;

D O I：

10.3390/sym15081551

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We construct one-frequency trigonometric spline curves with a de Boor-like algorithm for evaluation and analyze their shape-preserving properties. The convergence to quadratic B-spline curves is also analyzed. A fundamental tool is the concept of the normalized B-basis, which has optimal shape-preserving properties and good symmetric properties.

引用

页数：22

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