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A discrete trigonometric interpolation method
Jiang, TZ; Evans, DJ
AbstractInterpolation 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.
KeywordInterpolation Trigonometric Polynomial Existence And Uniqueness Signal And Image Processing Computer Vision
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000170715700002
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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
Recommended Citation
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.
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