Convex spline interpolants with minimal curvature (Q1058257)
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scientific article; zbMATH DE number 3900028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex spline interpolants with minimal curvature |
scientific article; zbMATH DE number 3900028 |
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Convex spline interpolants with minimal curvature (English)
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1985
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The problem of finding convex spline interpolants with minimal mean curvature leads to a quadratic optimization problem of special structure. In the present note a corresponding dual problem without constraints is derived. Its objective function is piecewise quadratic and therefore admits an effective numerical treatment.
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quadratic programming
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dual optimization problem
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tridiagonal Hessian
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Newton's method
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convex spline interpolants
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minimal mean curvature
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