Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters (Q2479452)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters |
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Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters (English)
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26 March 2008
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Two-dimensional splines based on a Powell-Sabin triangulation of a surface are used for spline smoothing in this paper. The spline is computed by minimising energy, i.e. the semi-norms of integrals of second order partial derivatives. The convergence of these splines when the uniform data become dense is also established. Several numerical examples are presented.
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\(\Delta^1\)-type triangulation
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Powell-Sabin element
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variational spline
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minimal energy smoothing
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Powell-Sabin triangulation
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surface
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spline smoothing
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convergence
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numerical examples
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