A discrete trigonometric interpolation method
文献类型：期刊论文
| 作者 | Jiang, TZ ; Evans, DJ
|
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2001 |
| 卷号 | 78期号:1页码:13-22 |
| 关键词 | interpolation trigonometric polynomial existence and uniqueness signal and image processing computer vision |
| 英文摘要 | Interpolation theory is a necessary and crucial tool for many applied engineering sciences. In this paper, we propose a new kind of 2-period interpolation of functions with period 2 pi at the nodes x(k) = x(k),(n) = k pi /n, (k = 0, 1,..., 2n - 1). We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of more practical significance. Our results provide the theoretical basis for using our interpolation in practical problems. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000170715700002 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9830]  |
| 专题 | 自动化研究所_09年以前成果 |
| 作者单位 | 1.Queens Univ Belfast, Sch Comp Sci, Belfast BT7 1NN, Antrim, North Ireland 2.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China 3.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England |
| 推荐引用方式 GB/T 7714 | Jiang, TZ,Evans, DJ. A discrete trigonometric interpolation method[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2001,78(1):13-22. |
| APA | Jiang, TZ,&Evans, DJ.(2001).A discrete trigonometric interpolation method.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,78(1),13-22. |
| MLA | Jiang, TZ,et al."A discrete trigonometric interpolation method".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 78.1(2001):13-22. |
入库方式： OAI收割
来源：自动化研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。