| 题名 | Piecewise polynomial curves with normalized derivatives |
| 作者 | |
| 通讯作者 | Han，Xuli |
| 发表日期 | 2021-05-01
|
| DOI | |
| 发表期刊 | |
| ISSN | 0377-0427
|
| EISSN | 1879-1778
|
| 卷号 | 388 |
| 摘要 | In this paper, a new method for constructing piecewise polynomial curves is presented. The first derivative and the second derivative of the given curve are non-negative normalized combination of the first order divided differences and non-negative combination of the second order divided differences of the control points respectively. Under the derivative constraint conditions, the given curves contain shape parameters that can locally be used to adjust a curve. The proper ranges for the adjustable shape parameters are given. The optimal value of the shape parameter is obtained for minimizing the non-negative combination coefficients of the second derivatives of the curves. Some geometric examples are provided to show the feasibility of such curve representations as well as the approximation effect to the control polygon. |
| 关键词 | |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 第一
; 通讯
|
| 资助项目 | National Natural Science Foundation of China[11771453]
|
| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
|
| WOS记录号 | WOS:000609365600006
|
| 出版者 | |
| EI入藏号 | 20205009612339
|
| EI主题词 | Computational geometry
; Computational methods
|
| EI分类号 | Computer Applications:723.5
; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
; Numerical Methods:921.6
|
| ESI学科分类 | MATHEMATICS
|
| Scopus记录号 | 2-s2.0-85097342771
|
| 来源库 | Scopus
|
| 引用统计 |
被引频次[WOS]：1
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/209747 |
| 专题 | 理学院_数学系 |
| 作者单位 | 1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China 2.School of Mathematics and Statistics,Central South University,Changsha,China |
| 第一作者单位 | 数学系 |
| 通讯作者单位 | 数学系 |
| 第一作者的第一单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Han，Xuli,Yang，Jing. Piecewise polynomial curves with normalized derivatives[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2021,388.
|
| APA |
Han，Xuli,&Yang，Jing.(2021).Piecewise polynomial curves with normalized derivatives.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,388.
|
| MLA |
Han，Xuli,et al."Piecewise polynomial curves with normalized derivatives".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 388(2021).
|
| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| piecewise.pdf（927KB） | 期刊论文 | 作者接受稿 | 限制开放 | CC BY-NC-SA | ||
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