Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application
Joint Authors
Han, Xuli
Zhu, Yuanpeng
Liu, Shengjun
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Four new quartic rational Said-Ball-like basis functions, which include the cubic Said-Ball basis functions as a special case, are constructed in this paper.
The new basis is applied to generate a class of C1 continuous quartic rational Hermite interpolation splines with local tension shape parameters.
The error estimate expression of the proposed interpolant is given and the sufficient conditions are derived for constructing a C1 positivity- or monotonicity- preserving interpolation spline.
In addition, we extend the quartic rational Said-Ball-like basis to a triangular domain which has three tension shape parameters and includes the cubic triangular Said-Ball basis as a special case.
In order to compute the corresponding patch stably and efficiently, a new de Casteljau-type algorithm is developed.
Moreover, the G1 continuous conditions are deduced for the joining of two patches.
American Psychological Association (APA)
Zhu, Yuanpeng& Han, Xuli& Liu, Shengjun. 2014. Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-503856
Modern Language Association (MLA)
Zhu, Yuanpeng…[et al.]. Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application. Journal of Applied Mathematics No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-503856
American Medical Association (AMA)
Zhu, Yuanpeng& Han, Xuli& Liu, Shengjun. Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-503856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503856