Name
Abstract | ||
|---|---|---|
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometric Bezier basis with two shape parameters lambda and mu given in Han et al. ( 2009) forms an optimal normalized totally positive basis for lambda, mu epsilon (-2, 1]. Moreover, we show that for lambda = -2 or mu = -2 the basis is not suited for curve design from the blossom point of view. In order to compute the corresponding cubic trigonometric Bezier curves stably and efficiently, we also develop a new corner cutting algorithm. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1155/2014/198745 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Trigonometry,Mathematical optimization,Normalization (statistics),Mathematical analysis,Curve design,Bézier curve,Chebyshev filter,Mathematics | Journal | 2014 |
ISSN | Citations | PageRank |
1110-757X | 1 | 0.36 |
References | Authors | |
18 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xuli Han | 1 | 159 | 22.91 |
| Yuanpeng Zhu | 2 | 7 | 2.87 |