Title
Spherical Splines for Data Interpolation and Fitting
Abstract
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.
Year
DOI
Venue
2006
10.1137/040620722
SIAM J. Scientific Computing
Keywords
Field
DocType
certain advantage,squares approximation problem,numerical experiment,nonhomogeneous spherical spline,data fltting,data interpolation,minimal energy interpolation,approximating property,nonhomogeneous spline,spherical splines,unit sphere,homogeneous spline,data fitting,approximation property
Spline (mathematics),Least squares,Mathematical optimization,Box spline,Curve fitting,Mathematical analysis,Interpolation,Numerical analysis,Mathematics,Penalty method,Unit sphere
Journal
Volume
Issue
ISSN
28
1
1064-8275
Citations 
PageRank 
References 
7
0.79
3
Authors
3
Name
Order
Citations
PageRank
V. Baramidze1111.90
M. J. Lai271.13
C. K. Shum33817.71