Positivity Preserving Interpolation Using Rational Bicubic Spline
Joint Authors
Saaban, Azizan
Voon Pang, Kong
Abdul Karim, Samsul Ariffin
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C 1 rational cubic spline interpolant of Karim and Kong to the bivariate cases.
The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters.
The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch.
Numerical comparison with existing schemes also has been done in detail.
Based on Root Mean Square Error (RMSE), our partially blended rational bicubic spline is on a par with the established methods.
American Psychological Association (APA)
Abdul Karim, Samsul Ariffin& Voon Pang, Kong& Saaban, Azizan. 2015. Positivity Preserving Interpolation Using Rational Bicubic Spline. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1067103
Modern Language Association (MLA)
Abdul Karim, Samsul Ariffin…[et al.]. Positivity Preserving Interpolation Using Rational Bicubic Spline. Journal of Applied Mathematics No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1067103
American Medical Association (AMA)
Abdul Karim, Samsul Ariffin& Voon Pang, Kong& Saaban, Azizan. Positivity Preserving Interpolation Using Rational Bicubic Spline. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1067103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067103
