Convexity-preserving scattered data interpolation
This study deals with constructing a convexity-preserving bivariate C1 interpolants to scattered data whenever the original data are convex. Sufficient conditions on lower bound of Bezier points are derived in order to ensure that surfaces comprising cubic Bezier triangular patches are always convex...
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| Format: | Article |
| Language: | English |
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Jabatan Matematik Universiti Teknologi Malaysia
2008
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| Online Access: | https://repo.uum.edu.my/id/eprint/4330/1/Ab_c.pdf |
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| author | Mt Piah, Abd Rahni Saaban, Azizan Abd Majid, Ahmad |
| author_facet | Mt Piah, Abd Rahni Saaban, Azizan Abd Majid, Ahmad |
| author_sort | Mt Piah, Abd Rahni |
| collection | UUM |
| description | This study deals with constructing a convexity-preserving bivariate C1 interpolants to scattered data whenever the original data are convex. Sufficient conditions on lower bound of Bezier points are derived in order to ensure that surfaces comprising cubic Bezier triangular patches are always convex and satisfy C1 continuity conditions. Initial gradients at the data sites are estimated and then modified if necessary to ensure that these conditions are satisfied. The construction is local and easy to be implemented. Graphical examples are presented using several test functions. |
| first_indexed | 2024-07-04T05:24:47Z |
| format | Article |
| id | uum-4330 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:24:47Z |
| publishDate | 2008 |
| publisher | Jabatan Matematik Universiti Teknologi Malaysia |
| record_format | eprints |
| spelling | uum-43302012-02-16T08:05:10Z https://repo.uum.edu.my/id/eprint/4330/ Convexity-preserving scattered data interpolation Mt Piah, Abd Rahni Saaban, Azizan Abd Majid, Ahmad QA Mathematics This study deals with constructing a convexity-preserving bivariate C1 interpolants to scattered data whenever the original data are convex. Sufficient conditions on lower bound of Bezier points are derived in order to ensure that surfaces comprising cubic Bezier triangular patches are always convex and satisfy C1 continuity conditions. Initial gradients at the data sites are estimated and then modified if necessary to ensure that these conditions are satisfied. The construction is local and easy to be implemented. Graphical examples are presented using several test functions. Jabatan Matematik Universiti Teknologi Malaysia 2008 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/4330/1/Ab_c.pdf Mt Piah, Abd Rahni and Saaban, Azizan and Abd Majid, Ahmad (2008) Convexity-preserving scattered data interpolation. Matematika, 24 (1). pp. 31-42. ISSN 0127-8274 http://www.fs.utm.my/matematika/ |
| spellingShingle | QA Mathematics Mt Piah, Abd Rahni Saaban, Azizan Abd Majid, Ahmad Convexity-preserving scattered data interpolation |
| title | Convexity-preserving scattered data interpolation |
| title_full | Convexity-preserving scattered data interpolation |
| title_fullStr | Convexity-preserving scattered data interpolation |
| title_full_unstemmed | Convexity-preserving scattered data interpolation |
| title_short | Convexity-preserving scattered data interpolation |
| title_sort | convexity preserving scattered data interpolation |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/4330/1/Ab_c.pdf |
| work_keys_str_mv | AT mtpiahabdrahni convexitypreservingscattereddatainterpolation AT saabanazizan convexitypreservingscattereddatainterpolation AT abdmajidahmad convexitypreservingscattereddatainterpolation |