中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1007/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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