Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data
We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpola...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/391568 |
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| author | Muhammad Abbas Ahmad Abd Majid Jamaludin Md. Ali |
| author_facet | Muhammad Abbas Ahmad Abd Majid Jamaludin Md. Ali |
| author_sort | Muhammad Abbas |
| collection | DOAJ |
| description | We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C2 rational cubic spline. It involves three families of shape parameters in its representation. Data dependent sufficient constraints are imposed on single shape parameter to conserve the inherited shape feature of data. Remaining two of these shape parameters are used for the modification of convex curve to get a visually pleasing curve according to industrial demand. The scheme is tested through several numerical examples, showing that the scheme is local, computationally economical, and visually pleasing. |
| format | Article |
| id | doaj-art-43296a7065d44aeaa357b2e141fa5964 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-43296a7065d44aeaa357b2e141fa59642025-02-03T01:12:38ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/391568391568Local Convexity-Preserving C2 Rational Cubic Spline for Convex DataMuhammad Abbas0Ahmad Abd Majid1Jamaludin Md. Ali2Department of Mathematics, University of Sargodha, Sargodha 40100, PakistanSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 George Town, Penang, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 George Town, Penang, MalaysiaWe present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C2 rational cubic spline. It involves three families of shape parameters in its representation. Data dependent sufficient constraints are imposed on single shape parameter to conserve the inherited shape feature of data. Remaining two of these shape parameters are used for the modification of convex curve to get a visually pleasing curve according to industrial demand. The scheme is tested through several numerical examples, showing that the scheme is local, computationally economical, and visually pleasing.http://dx.doi.org/10.1155/2014/391568 |
| spellingShingle | Muhammad Abbas Ahmad Abd Majid Jamaludin Md. Ali Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data The Scientific World Journal |
| title | Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data |
| title_full | Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data |
| title_fullStr | Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data |
| title_full_unstemmed | Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data |
| title_short | Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data |
| title_sort | local convexity preserving c2 rational cubic spline for convex data |
| url | http://dx.doi.org/10.1155/2014/391568 |
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