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Spherical splines for data interpolation and fitting
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DOI：10.1137/040620722.png)
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Abstract
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We study minimal energy interpolation and discrete and penalized least squares approximation problems on the unit sphere using nonhomogeneous spherical splines. Several numerical experiments are conducted to compare approximating properties of homogeneous and nonhomogeneous splines. Our numerical experiments show that nonhomogeneous splines have certain advantages over homogeneous splines.
Keywords:
spherical splines
data fitting
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