Monotone Data Visualization Using Rational Trigonometric Spline Interpolation
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch....
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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/10.1155/2014/602453 |
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| author | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain |
| author_facet | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain |
| author_sort | Farheen Ibraheem |
| collection | DOAJ |
| description | Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch. The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions. The remaining parameters are kept free to modify the shape of curve and surface if required. The developed algorithm is verified mathematically and demonstrated graphically. |
| format | Article |
| id | doaj-art-4306f6220e564f78bfc3f99a144fb647 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-4306f6220e564f78bfc3f99a144fb6472025-08-20T02:37:58ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/602453602453Monotone Data Visualization Using Rational Trigonometric Spline InterpolationFarheen Ibraheem0Maria Hussain1Malik Zawwar Hussain2National University of Computer and Emerging Sciences, Lahore, PakistanDepartment of Mathematics, Lahore College for Women University, Lahore 54600, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanRational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch. The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions. The remaining parameters are kept free to modify the shape of curve and surface if required. The developed algorithm is verified mathematically and demonstrated graphically.http://dx.doi.org/10.1155/2014/602453 |
| spellingShingle | Farheen Ibraheem Maria Hussain Malik Zawwar Hussain Monotone Data Visualization Using Rational Trigonometric Spline Interpolation The Scientific World Journal |
| title | Monotone Data Visualization Using Rational Trigonometric Spline Interpolation |
| title_full | Monotone Data Visualization Using Rational Trigonometric Spline Interpolation |
| title_fullStr | Monotone Data Visualization Using Rational Trigonometric Spline Interpolation |
| title_full_unstemmed | Monotone Data Visualization Using Rational Trigonometric Spline Interpolation |
| title_short | Monotone Data Visualization Using Rational Trigonometric Spline Interpolation |
| title_sort | monotone data visualization using rational trigonometric spline interpolation |
| url | http://dx.doi.org/10.1155/2014/602453 |
| work_keys_str_mv | AT farheenibraheem monotonedatavisualizationusingrationaltrigonometricsplineinterpolation AT mariahussain monotonedatavisualizationusingrationaltrigonometricsplineinterpolation AT malikzawwarhussain monotonedatavisualizationusingrationaltrigonometricsplineinterpolation |