Convex interval interpolation with cubic splines. II (Q806933)

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scientific article; zbMATH DE number 4205850
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Convex interval interpolation with cubic splines. II
scientific article; zbMATH DE number 4205850

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    Convex interval interpolation with cubic splines. II (English)
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    1991
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    [For part I see ibid. 26, 377-387 (1986; Zbl 0624.65007).] Considered is the problem of convex interval interpolation using cubic \(C^ 1\)-splines. A solution (if existing) is selected which minimizes the regularized mean curvature. The corresponding convex finite dimensional programming problem is solved numerically by means of a dualization approach.
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    cubic splines
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    interval input data
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    curvature minimization
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    Fenchel dualization
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    unconstrained dual program
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    convex interval interpolation
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