Hermite Interpolation of Data Sets by Minimal Spline Spaces |
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Authors: | Manfred Sommer |
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Institution: | (1) Mathematisch-Geographische Fakultat, Katholische Universitat Eichstatt-Ingolstadt, D-85071 Eichstatt, Germany |
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Abstract: | Hermite interpolation of 2n + k data by spline spaces of order k with n variable knots counting multiplicities is studied.
A characterization of the minimal spline spaces which admit a solution of the interpolation problem is obtained. A sufficient
condition on uniqueness of interpolating spline functions is given. |
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Keywords: | Hermite interpolation Spline functions Variable knots B-Splines |
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