naginterfaces.library.fit.dim2_​spline_​ts_​evalm

naginterfaces.library.fit.dim2_spline_ts_evalm(xevalm, yevalm, comm)

dim2_spline_ts_evalm calculates a mesh of values of a spline computed by dim2_spline_ts_sctr().

For full information please refer to the NAG Library document for e02jf

https://support.nag.com/numeric/nl/nagdoc_30/flhtml/e02/e02jff.html

Parameters

xevalmfloat, array-like, shape $\left(\text{nxeval}\right)$

The $\left(x_i\right)$ values forming the mesh on which the spline is to be evaluated.

yevalmfloat, array-like, shape $\left(\text{nyeval}\right)$

The $\left(y_j\right)$ values forming the mesh on which the spline is to be evaluated.

commdict, communication object

Communication structure.

This argument must have been initialized by prior calls to dim2_spline_ts_sctr() and opt_set().

Returns

fevalmfloat, ndarray, shape $(\text{nxeval},\text{nyeval})$

If no exception or warning is raised on exit $fevalm[i-1,j-1]$ contains the computed spline value at $(x_i,y_j)$.

Raises

NagValueError

(errno $6$)

On entry, $\text{nxeval}=⟨value⟩$.

Constraint: $\text{nxeval}\ge 1$.

(errno $7$)

On entry, $\text{nyeval}=⟨value⟩$.

Constraint: $\text{nyeval}\ge 1$.

(errno $9$)

Option arrays are not initialized or are corrupted.

(errno $10$)

The fitting routine has not been called, or the array of coefficients has been corrupted.

(errno $13$)

On entry, $xevalm[⟨value⟩]=⟨value⟩$ was outside the bounding box.

Constraint: $⟨value⟩\le xevalm[i-1]\le ⟨value⟩$ for all $i$.

(errno $14$)

On entry, $yevalm[⟨value⟩]=⟨value⟩$ was outside the bounding box.

Constraint: $⟨value⟩\le yevalm[j-1]\le ⟨value⟩$ for all $j$.

Notes

dim2_spline_ts_evalm calculates values on a rectangular mesh of a bivariate spline computed by dim2_spline_ts_sctr(). The points in the mesh are defined by $x$ coordinates ($x_{\text{i}}$), for $\text{i}=1,2,\dots ,n_x$, and $y$ coordinates ($y_{\text{j}}$), for $\text{j}=1,2,\dots ,n_y$. This function is derived from the TSFIT package of O. Davydov and F. Zeilfelder.

References

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

Farin, G and Hansford, D, 2000, The Essentials of CAGD, Natic, MA: A K Peters, Ltd.