e02def

e02def © Numerical Algorithms Group, 2002.

Purpose

E02DEF Evaluation of a fitted bicubic spline at a vector of points

Synopsis

[ff,ifail] = e02def(x,y,lamda,mu,c<,ifail>)

Description

 
 This routine calculates values of the bicubic spline s(x,y) at 
 prescribed points (x ,y ), for r=1,2,...,m, from its augmented 
                     r  r                                      
 knot sets {(lambda)} and {(mu)} and from the coefficients c  , 
                                                            ij 
 for i=1,2,...,PX-4; j=1,2,...,PY-4, in its B-spline 
 representation
 
                             --          
                     s(x,y)= > c  M (x)N (y).
                             -- ij i    j
                             ij          
 
 Here M (x) and N (y) denote normalised cubic B-splines, the 
       i         j                                          
 former defined on the knots (lambda)  to (lambda)    and the 
                                     i            i+4        
 latter on the knots (mu)  to (mu)   .
                         j        j+4
 
 This routine may be used to calculate values of a bicubic spline 
 given in the form produced by E01DAF, E02DAF, E02DCF and E02DDF. 
 

Parameters

e02def

Required Input Arguments:

x (:)                                 real
y (:)                                 real
lamda (:)                             real
mu (:)                                real
c (:)                                 real

Optional Input Arguments:                       <Default>

ifail                                 integer  -1

Output Arguments:

ff (:)                                real
ifail                                 integer