Positive Data Visualization Using Trigonometric Function
A piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data. Simple data-dependent constraints on shape parameters are derived to preserve positivity and assure smoothness. The method is then extended to posit...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/247120 |
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| _version_ | 1850159793151410176 |
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| author | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain Akhlaq Ahmad Bhatti |
| author_facet | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain Akhlaq Ahmad Bhatti |
| author_sort | Farheen Ibraheem |
| collection | DOAJ |
| description | A piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data. Simple data-dependent constraints on shape parameters are derived to preserve positivity and assure smoothness. The method is then extended to positive surface data by rational trigonometric bicubic function. The order of approximation of developed interpolant is . |
| format | Article |
| id | doaj-art-b56fd8fa86d24f63ba16b4f3b91fe4db |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b56fd8fa86d24f63ba16b4f3b91fe4db2025-08-20T02:23:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/247120247120Positive Data Visualization Using Trigonometric FunctionFarheen Ibraheem0Maria Hussain1Malik Zawwar Hussain2Akhlaq Ahmad Bhatti3National University of Computer and Emerging Sciences, Lahore 54000, PakistanLahore College for Women University, Lahore 54500, PakistanDepartment of Mathematics, University of Punjab, Lahore 54590, PakistanNational University of Computer and Emerging Sciences, Lahore 54000, PakistanA piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data. Simple data-dependent constraints on shape parameters are derived to preserve positivity and assure smoothness. The method is then extended to positive surface data by rational trigonometric bicubic function. The order of approximation of developed interpolant is .http://dx.doi.org/10.1155/2012/247120 |
| spellingShingle | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain Akhlaq Ahmad Bhatti Positive Data Visualization Using Trigonometric Function Journal of Applied Mathematics |
| title | Positive Data Visualization Using Trigonometric Function |
| title_full | Positive Data Visualization Using Trigonometric Function |
| title_fullStr | Positive Data Visualization Using Trigonometric Function |
| title_full_unstemmed | Positive Data Visualization Using Trigonometric Function |
| title_short | Positive Data Visualization Using Trigonometric Function |
| title_sort | positive data visualization using trigonometric function |
| url | http://dx.doi.org/10.1155/2012/247120 |
| work_keys_str_mv | AT farheenibraheem positivedatavisualizationusingtrigonometricfunction AT mariahussain positivedatavisualizationusingtrigonometricfunction AT malikzawwarhussain positivedatavisualizationusingtrigonometricfunction AT akhlaqahmadbhatti positivedatavisualizationusingtrigonometricfunction |