Convexity-preserving Bernstein–Be´ zier quartic scheme
A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface....
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| Format: | Article |
| Language: | English |
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Elsevier
2014
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| Online Access: | http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf |
| _version_ | 1825833871879438336 |
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| author | Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar |
| author_facet | Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar |
| author_sort | Hussain, Maria |
| collection | USM |
| description | A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints. |
| first_indexed | 2024-03-06T15:14:17Z |
| format | Article |
| id | usm.eprints-38531 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:14:17Z |
| publishDate | 2014 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | usm.eprints-385312018-08-17T03:04:44Z http://eprints.usm.my/38531/ Convexity-preserving Bernstein–Be´ zier quartic scheme Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar QA1-939 Mathematics A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints. Elsevier 2014-07 Article PeerReviewed application/pdf en http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf Hussain, Maria and Majid, Ahmad Abd and Hussain, Malik Zawwar (2014) Convexity-preserving Bernstein–Be´ zier quartic scheme. Egyptian Informatics Journal, 15 (2). pp. 89-95. ISSN 1110-8665 https://dx.doi.org/10.1016/j.eij.2014.04.001 |
| spellingShingle | QA1-939 Mathematics Hussain, Maria Majid, Ahmad Abd Hussain, Malik Zawwar Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title | Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_full | Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_fullStr | Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_full_unstemmed | Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_short | Convexity-preserving Bernstein–Be´ zier quartic scheme |
| title_sort | convexity preserving bernstein be´ zier quartic scheme |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf |
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