Multivariate F-splines and Fractional Box Splines
文献类型：期刊论文
| 作者 | Xu, Zhiqiang
|
| 刊名 | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 15期号:5页码:723-738 |
| 关键词 | Box splines Multivariate truncated powers Fractional B-splines |
| ISSN号 | 1069-5869 |
| DOI | 10.1007/s00041-009-9083-z |
| 英文摘要 | We introduce multivariate F-splines, including multivariate F-truncated powers T-f (.|M) and F-box splines B-f (.|M). The classical multivariate polynomial splines and multivariate E-splines can be considered as a special case of multivariate F-splines. We document the main properties of T-f (.|M) and B-f (.|M). Using T-f (.|M), we extend fractional B-splines to fractional box splines and show that these functions satisfy most of the properties of the traditional box splines. Our work unifies and generalizes results due to Dahmen-Micchelli, de Boor-Hollig, Ron and Unser-Blu, and also presents a new tool for computing the integration over polytopes. |
| 语种 | 英语 |
| WOS记录号 | WOS:000272034700008 |
| 出版者 | SPRINGER BIRKHAUSER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8069]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Zhiqiang |
| 作者单位 | Chinese Acad Sci, LESC, Inst Comp Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Zhiqiang. Multivariate F-splines and Fractional Box Splines[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,2009,15(5):723-738. |
| APA | Xu, Zhiqiang.(2009).Multivariate F-splines and Fractional Box Splines.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,15(5),723-738. |
| MLA | Xu, Zhiqiang."Multivariate F-splines and Fractional Box Splines".JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 15.5(2009):723-738. |
入库方式： OAI收割
来源：数学与系统科学研究院
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