Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin-type meshes for noisy data (Q932747)
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scientific article; zbMATH DE number 5300725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin-type meshes for noisy data |
scientific article; zbMATH DE number 5300725 |
Statements
Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin-type meshes for noisy data (English)
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11 July 2008
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By minimizing a quadratic functional weighted by smoothing parameters, a \(C^r\)-bivariate spline surface \((r\geq 1)\) is constructed on a uniform triangular mesh of Powell-Sabin-type. The convergence and optimization of smoothing parameters is particularly considered.
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approximation
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smoothing
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variational spline
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minimal energy
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noisy data
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