Shape preserving rational cubic spline for positive and convex data
In this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters has been introduced to attain the C2 positive...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2011-11-01
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| Series: | Egyptian Informatics Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110866511000429 |
| _version_ | 1818669259998363648 |
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| author | Malik Zawwar Hussain Muhammad Sarfraz Tahira Sumbal Shaikh |
| author_facet | Malik Zawwar Hussain Muhammad Sarfraz Tahira Sumbal Shaikh |
| author_sort | Malik Zawwar Hussain |
| collection | DOAJ |
| description | In this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters has been introduced to attain the C2 positive curves from positive data and C2 convex curves from convex data. Simple data dependent constraints are derived on free parameters in the description of rational cubic function to obtain the desired shape of the data. The rational cubic schemes have unique representations. |
| first_indexed | 2024-12-17T06:49:23Z |
| format | Article |
| id | doaj.art-049ef4e004e74c1a80c6ce7066a1bfbd |
| institution | Directory Open Access Journal |
| issn | 1110-8665 |
| language | English |
| last_indexed | 2024-12-17T06:49:23Z |
| publishDate | 2011-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Egyptian Informatics Journal |
| spelling | doaj.art-049ef4e004e74c1a80c6ce7066a1bfbd2022-12-21T21:59:39ZengElsevierEgyptian Informatics Journal1110-86652011-11-0112323123610.1016/j.eij.2011.10.002Shape preserving rational cubic spline for positive and convex dataMalik Zawwar Hussain0Muhammad Sarfraz1Tahira Sumbal Shaikh2Department of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Information Science, Adailiya Campus, Kuwait University, KuwaitDepartment of Mathematics, University of the Punjab, Lahore, PakistanIn this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters has been introduced to attain the C2 positive curves from positive data and C2 convex curves from convex data. Simple data dependent constraints are derived on free parameters in the description of rational cubic function to obtain the desired shape of the data. The rational cubic schemes have unique representations.http://www.sciencedirect.com/science/article/pii/S1110866511000429Shape preservationRational cubic functionPositive curvesConvex curves |
| spellingShingle | Malik Zawwar Hussain Muhammad Sarfraz Tahira Sumbal Shaikh Shape preserving rational cubic spline for positive and convex data Egyptian Informatics Journal Shape preservation Rational cubic function Positive curves Convex curves |
| title | Shape preserving rational cubic spline for positive and convex data |
| title_full | Shape preserving rational cubic spline for positive and convex data |
| title_fullStr | Shape preserving rational cubic spline for positive and convex data |
| title_full_unstemmed | Shape preserving rational cubic spline for positive and convex data |
| title_short | Shape preserving rational cubic spline for positive and convex data |
| title_sort | shape preserving rational cubic spline for positive and convex data |
| topic | Shape preservation Rational cubic function Positive curves Convex curves |
| url | http://www.sciencedirect.com/science/article/pii/S1110866511000429 |
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