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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38531/1/Convexity-preserving_Bernstein%E2%80%93B%C3%A9zier_quartic_scheme.pdf http://eprints.usm.my/38531/ https://dx.doi.org/10.1016/j.eij.2014.04.001 |
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| Institution: | Universiti Sains Malaysia |
| Language: | English |
| Summary: | 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. |
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