Improved sufficient conditions for monotonic piecewise rational quartic interpolation
In 2004, Wang and Tan described a rational Bernstein-Bézier curve interpolation scheme using a quartic numerator and linear denominator. The scheme has a unique representation, with parameters that can be used either to change the shape of the curve or to increase its smoothness. Sufficient conditio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2728/ http://journalarticle.ukm.my/2728/1/15_Abd_Rahni.pdf |
| _version_ | 1848809954401583104 |
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| author | Abd Rahni Mt Piah, Unsworth, Keith |
| author_facet | Abd Rahni Mt Piah, Unsworth, Keith |
| author_sort | Abd Rahni Mt Piah, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In 2004, Wang and Tan described a rational Bernstein-Bézier curve interpolation scheme using a quartic numerator and linear denominator. The scheme has a unique representation, with parameters that can be used either to change the shape of the curve or to increase its smoothness. Sufficient conditions are derived by Wang and Tan for preserving monotonicity, and for achieving either C1 or C2 continuity. In this paper, improved sufficient conditions are given and some numerical results presented. |
| first_indexed | 2025-11-14T23:22:49Z |
| format | Article |
| id | oai:generic.eprints.org:2728 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:22:49Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:27282016-12-14T06:32:28Z http://journalarticle.ukm.my/2728/ Improved sufficient conditions for monotonic piecewise rational quartic interpolation Abd Rahni Mt Piah, Unsworth, Keith In 2004, Wang and Tan described a rational Bernstein-Bézier curve interpolation scheme using a quartic numerator and linear denominator. The scheme has a unique representation, with parameters that can be used either to change the shape of the curve or to increase its smoothness. Sufficient conditions are derived by Wang and Tan for preserving monotonicity, and for achieving either C1 or C2 continuity. In this paper, improved sufficient conditions are given and some numerical results presented. Universiti Kebangsaan Malaysia 2011-10 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2728/1/15_Abd_Rahni.pdf Abd Rahni Mt Piah, and Unsworth, Keith (2011) Improved sufficient conditions for monotonic piecewise rational quartic interpolation. Sains Malaysiana, 40 (10). pp. 1173-1178. ISSN 0126-6039 http://www.ukm.my/jsm |
| spellingShingle | Abd Rahni Mt Piah, Unsworth, Keith Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title | Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title_full | Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title_fullStr | Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title_full_unstemmed | Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title_short | Improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| title_sort | improved sufficient conditions for monotonic piecewise rational quartic interpolation |
| url | http://journalarticle.ukm.my/2728/ http://journalarticle.ukm.my/2728/ http://journalarticle.ukm.my/2728/1/15_Abd_Rahni.pdf |