Range Restricted Interpolation Using Cubic Bézier Triangles.
A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of t...
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| Main Authors: | , , |
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| 格式: | Conference or Workshop Item |
| 語言: | English |
| 出版: |
2004
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| 主題: | |
| 在線閱讀: | http://eprints.usm.my/9620/1/Range_Restricted_Interpolation_Using_Cubic_Bezier_Triangles_%28PPSMatematik%29_2003.pdf http://eprints.usm.my/9620/ |
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| 總結: | A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the
triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic
Bézier triangle. Sufficient conditions derived for the non-negativity of these cubic Bézier triangles are expressed
as lower bounds to the Bézier ordinates. The non-negativity preserving interpolation scheme extends to the
construction of a range restricted interpolating surface with lower or upper constraints which are polynomial
surfaces of degree up to three. The scheme is illustrated with graphical examples.
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