nag_2d_spline_ts_eval_rect (e02jfc) calculates a mesh of values of a spline computed by
nag_2d_spline_fit_ts_scat (e02jdc).
nag_2d_spline_ts_eval_rect (e02jfc) calculates values on a rectangular mesh of a bivariate spline computed by
nag_2d_spline_fit_ts_scat (e02jdc). The points in the mesh are defined by
coordinates (
), for
, and
coordinates (
), for
. This function is derived from the TSFIT package of O. Davydov and F. Zeilfelder.
Davydov O, Morandi R and Sestini A (2006) Local hybrid approximation for scattered data fitting with bivariate splines Comput. Aided Geom. Design 23 703–721
Davydov O, Sestini A and Morandi R (2005) Local RBF approximation for scattered data fitting with bivariate splines Trends and Applications in Constructive Approximation M. G. de Bruin, D. H. Mache, and J. Szabados, Eds ISNM Vol. 151 Birkhauser 91–102
Davydov O and Zeilfelder F (2004) Scattered data fitting by direct extension of local polynomials to bivariate splines Advances in Comp. Math. 21 223–271
nag_2d_spline_ts_eval_rect (e02jfc) uses the de Casteljau algorithm and thus is numerically stable. See
Farin and Hansford (2000) for details.