Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition
In this paper, the sufficient condition for the positive preservation of boundary curves for each edges of bicubic rectangular Said-Ball patches will be discussed.With the use of polynomial solution of fourth order linear PDEs, these curves are defined on rectangular grid for the purpose of enhancin...
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| Format: | Article |
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IP Publishing LLC
2014
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| author | Kherd, Ahmed Saaban, Azizan Man, Noraziah |
| author_facet | Kherd, Ahmed Saaban, Azizan Man, Noraziah |
| author_sort | Kherd, Ahmed |
| collection | UUM |
| description | In this paper, the sufficient condition for the positive preservation of boundary curves for each edges of bicubic rectangular Said-Ball patches will be discussed.With the use of polynomial solution of fourth order linear PDEs, these curves are defined on rectangular grid for the purpose of enhancing the positivity preservation of the interpolating surface. Through an independent adjustment of the lower boundary of edge Said-Ball ordinates, a sufficient condition on boundary curves for individual edge of bicubic rectangular Said-Ball patches is derived. By employing two well recognized test functions, finding reveals that the approach proposed is appropriate with regard to positive preservation of boundary curves and that there is improvement in the positive preservation of the whole interpolating surfaces. |
| first_indexed | 2024-07-04T06:17:54Z |
| format | Article |
| id | uum-21559 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:17:54Z |
| publishDate | 2014 |
| publisher | IP Publishing LLC |
| record_format | eprints |
| spelling | uum-215592017-04-13T07:01:11Z https://repo.uum.edu.my/id/eprint/21559/ Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition Kherd, Ahmed Saaban, Azizan Man, Noraziah QA Mathematics In this paper, the sufficient condition for the positive preservation of boundary curves for each edges of bicubic rectangular Said-Ball patches will be discussed.With the use of polynomial solution of fourth order linear PDEs, these curves are defined on rectangular grid for the purpose of enhancing the positivity preservation of the interpolating surface. Through an independent adjustment of the lower boundary of edge Said-Ball ordinates, a sufficient condition on boundary curves for individual edge of bicubic rectangular Said-Ball patches is derived. By employing two well recognized test functions, finding reveals that the approach proposed is appropriate with regard to positive preservation of boundary curves and that there is improvement in the positive preservation of the whole interpolating surfaces. IP Publishing LLC 2014 Article PeerReviewed Kherd, Ahmed and Saaban, Azizan and Man, Noraziah (2014) Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition. AIP Conference Proceedings, 1602 (1). pp. 429-434. ISSN 0094-243X http://doi.org/10.1063/1.4882521 doi:10.1063/1.4882521 doi:10.1063/1.4882521 |
| spellingShingle | QA Mathematics Kherd, Ahmed Saaban, Azizan Man, Noraziah Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title | Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title_full | Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title_fullStr | Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title_full_unstemmed | Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title_short | Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition |
| title_sort | surface interpolation using partial differentiation equation with positivity preserving cubic said ball curves boundary condition |
| topic | QA Mathematics |
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