Paper Info
Title
Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application.
Abstract
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 C-1 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 C-1 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 G(1) continuous conditions are deduced for the joining of two patches.
Year
DOI
Venue
2014
10.1155/2014/857840
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Spline (mathematics),Monotonic function,Mathematical optimization,Mathematical analysis,Interpolation,Quartic function,Basis function,Hermite interpolation,Quartic surface,Mathematics,Special case
Journal
2014
ISSN
Citations 
PageRank 
1110-757X
0
0.34
References 
Authors
15
3
Name
Order
Citations
PageRank
Yuanpeng Zhu172.87
Xuli Han215922.91
Shengjun Liu311613.79