Rational cubic Ball functions for positivity preserving
A curve interpolation scheme is developed using rational cubic Ball functions with cubic numerator and cubic denominator. The two parameters, in the description of the rational interpolant have been constrained to preserve the shape of the data. The positivity preserving properties of this rational...
| Main Author: | Karim, S.A.A. |
|---|---|
| Format: | Article |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.32645 / |
| Published: |
2013
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utp-eprints.326452022-03-29T14:08:18Z Rational cubic Ball functions for positivity preserving Karim, S.A.A. A curve interpolation scheme is developed using rational cubic Ball functions with cubic numerator and cubic denominator. The two parameters, in the description of the rational interpolant have been constrained to preserve the shape of the data. The positivity preserving properties of this rational interpolant to a given data set are shown. The degree of smoothness C1 is attained (first order of parametric continuity). The numerical results show that the proposed schemes work well to all data sets and are comparable to the existing method. © 2013 Pushpa Publishing House, Allahabad, India. 2013 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893152174&partnerID=40&md5=76c4464cd9050a1e93591f56f86a111c Karim, S.A.A. (2013) Rational cubic Ball functions for positivity preserving. Far East Journal of Mathematical Sciences, 82 (2). pp. 193-207. http://eprints.utp.edu.my/32645/ |
| institution |
Universiti Teknologi Petronas |
| collection |
UTP Institutional Repository |
| description |
A curve interpolation scheme is developed using rational cubic Ball functions with cubic numerator and cubic denominator. The two parameters, in the description of the rational interpolant have been constrained to preserve the shape of the data. The positivity preserving properties of this rational interpolant to a given data set are shown. The degree of smoothness C1 is attained (first order of parametric continuity). The numerical results show that the proposed schemes work well to all data sets and are comparable to the existing method. © 2013 Pushpa Publishing House, Allahabad, India. |
| format |
Article |
| author |
Karim, S.A.A. |
| spellingShingle |
Karim, S.A.A. Rational cubic Ball functions for positivity preserving |
| author_sort |
Karim, S.A.A. |
| title |
Rational cubic Ball functions for positivity preserving |
| title_short |
Rational cubic Ball functions for positivity preserving |
| title_full |
Rational cubic Ball functions for positivity preserving |
| title_fullStr |
Rational cubic Ball functions for positivity preserving |
| title_full_unstemmed |
Rational cubic Ball functions for positivity preserving |
| title_sort |
rational cubic ball functions for positivity preserving |
| publishDate |
2013 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893152174&partnerID=40&md5=76c4464cd9050a1e93591f56f86a111c http://eprints.utp.edu.my/32645/ |
| _version_ |
1741197762824765440 |
| score |
11.62408 |