Constrained interpolation using rational cubic spline with three parameters
The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/13329/ http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf |
| _version_ | 1848813246607261696 |
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| author | Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim, |
| author_facet | Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim, |
| author_sort | Samsul Ariffin Abdul Karim, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded by two straight lines are derived on one parameter, while the other two are free parameters that will be useful for shape modification. Some numerical results will be presented by using Mathematica software. Comparison with some existing schemes shows that the proposed scheme outperforms the existing schemes. |
| first_indexed | 2025-11-15T00:15:09Z |
| format | Article |
| id | oai:generic.eprints.org:13329 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:15:09Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:133292019-08-29T21:45:54Z http://journalarticle.ukm.my/13329/ Constrained interpolation using rational cubic spline with three parameters Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim, The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded by two straight lines are derived on one parameter, while the other two are free parameters that will be useful for shape modification. Some numerical results will be presented by using Mathematica software. Comparison with some existing schemes shows that the proposed scheme outperforms the existing schemes. Penerbit Universiti Kebangsaan Malaysia 2019-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf Samsul Ariffin Abdul Karim, and Mohammad Khatim Hasan, and Ishak Hashim, (2019) Constrained interpolation using rational cubic spline with three parameters. Sains Malaysiana, 48 (3). pp. 685-695. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil3_2019/KandunganJilid48Bil3_2019.html |
| spellingShingle | Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim, Constrained interpolation using rational cubic spline with three parameters |
| title | Constrained interpolation using rational cubic spline with three parameters |
| title_full | Constrained interpolation using rational cubic spline with three parameters |
| title_fullStr | Constrained interpolation using rational cubic spline with three parameters |
| title_full_unstemmed | Constrained interpolation using rational cubic spline with three parameters |
| title_short | Constrained interpolation using rational cubic spline with three parameters |
| title_sort | constrained interpolation using rational cubic spline with three parameters |
| url | http://journalarticle.ukm.my/13329/ http://journalarticle.ukm.my/13329/ http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf |