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Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface
Joint Authors
Peng, Xingxuan
Li, Zhihong
Sun, Qian
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids.
The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region.
Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always nonnegative if the original data are nonnegative.
The gradients at the data sites are modified if necessary to ensure that the nonnegativity conditions are fulfilled.
Some numerical examples are illustrated in the end of this paper.
American Psychological Association (APA)
Peng, Xingxuan& Li, Zhihong& Sun, Qian. 2012. Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993427
Modern Language Association (MLA)
Peng, Xingxuan…[et al.]. Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993427
American Medical Association (AMA)
Peng, Xingxuan& Li, Zhihong& Sun, Qian. Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993427
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993427