Spherical Splines for Data Interpolation and Fitting | Zendy

Victoria Baramidze | Zendy; MingJun Lai | Zendy; C. K. Shum | Zendy

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Spherical Splines for Data Interpolation and Fitting

Author(s) -

Victoria Baramidze,

MingJun Lai,

C. K. Shum

Publication year - 2006

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/040620722

Subject(s) - mathematics , interpolation (computer graphics) , box spline , homogeneous , unit sphere , spline (mechanical) , mathematical analysis , spline interpolation , bilinear interpolation , computer science , combinatorics , animation , statistics , computer graphics (images) , structural engineering , engineering

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.

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