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. Baramidze | 1 | 11 | 1.90 |
M. J. Lai | 2 | 7 | 1.13 |
C. K. Shum | 3 | 38 | 17.71 |