Planar cubic \(G^{1}\) interpolatory splines with small strain energy (Q629552)
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scientific article; zbMATH DE number 5863174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Planar cubic \(G^{1}\) interpolatory splines with small strain energy |
scientific article; zbMATH DE number 5863174 |
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Planar cubic \(G^{1}\) interpolatory splines with small strain energy (English)
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9 March 2011
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A classical problem of the construction of a cubic \(G^1\) continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. The tangent directions are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally. The spline is regular, cusp-, loop- and fold-free. Numerical examples demonstrate effectiveness of the considered method.
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Hermite interpolation
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spline curve
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minimization
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strain energy
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numerical examples
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0.9112144
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0.9097683
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0.9050706
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0.87819964
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0.87306446
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0.8717725
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0.86988723
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