A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were pre...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2016
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| Online Access: | http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf |
| _version_ | 1848812345627770880 |
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| author | Bashir, Uzma Jamaludin Md. Ali, |
| author_facet | Bashir, Uzma Jamaludin Md. Ali, |
| author_sort | Bashir, Uzma |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction. |
| first_indexed | 2025-11-15T00:00:49Z |
| format | Article |
| id | oai:generic.eprints.org:10302 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:00:49Z |
| publishDate | 2016 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:103022017-04-06T09:30:20Z http://journalarticle.ukm.my/10302/ A univariate rational quadratic trigonometric interpolating spline to visualize shaped data Bashir, Uzma Jamaludin Md. Ali, This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction. Penerbit Universiti Kebangsaan Malaysia 2016-10 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf Bashir, Uzma and Jamaludin Md. Ali, (2016) A univariate rational quadratic trigonometric interpolating spline to visualize shaped data. Sains Malaysiana, 45 (10). pp. 1557-1563. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol45num10_2016/contentsVol45num10_2016.html |
| spellingShingle | Bashir, Uzma Jamaludin Md. Ali, A univariate rational quadratic trigonometric interpolating spline to visualize shaped data |
| title | A univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| title_full | A univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| title_fullStr | A univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| title_full_unstemmed | A univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| title_short | A univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| title_sort | univariate rational quadratic trigonometric interpolating
spline to visualize shaped data |
| url | http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf |