NAME

       Math::GSL::BSpline - Functions for the computation of smoothing basis splines

SYNOPSIS

           use Math::GSL::BSpline qw/:all/;

DESCRIPTION

       gsl_bspline_alloc($k, $nbreak)
           This function allocates a workspace for computing B-splines of order $k. The number of breakpoints is
           given  by  $nbreak. This leads to n = $nbreak + $k - 2 basis functions. Cubic B-splines are specified
           by $k = 4.

       gsl_bspline_free($w)
           This function frees the memory associated with the workspace $w.

       gsl_bspline_ncoeffs($w)
           This function returns the number of B-spline coefficients given by n = nbreak + k - 2.

       gsl_bspline_order
       gsl_bspline_nbreak
       gsl_bspline_breakpoint
       gsl_bspline_knots($breakpts, $w)
           This function computes the knots associated with the given breakpoints inside  the  vector  $breakpts
           and stores them internally in $w->{knots}.

       gsl_bspline_knots_uniform($a, $b, $w)
           This  function  assumes uniformly spaced breakpoints on [$a,$b] and constructs the corresponding knot
           vector using the previously specified nbreak parameter.  The knots are stored in $w->{knots}.

       gsl_bspline_eval($x, $B, $w)
           This function evaluates all B-spline basis functions at the position $x and stores them in the vector
           $B, so that the ith element of $B is B_i($x). $B must be of length n = $nbreak + $k - 2.  This  value
           may  also  be obtained by calling gsl_bspline_ncoeffs. It is far more efficient to compute all of the
           basis functions at once than to compute  them  individually,  due  to  the  nature  of  the  defining
           recurrence relation.

           For   more   information  on  the  functions,  we  refer  you  to  the  GSL  official  documentation:
           http://www.gnu.org/software/gsl/manual/html_node/

EXAMPLES

       Coming soon.

AUTHORS

       Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

COPYRIGHT AND LICENSE

       Copyright (C) 2008-2023 Jonathan "Duke" Leto and Thierry Moisan

       This program is free software; you can redistribute it and/or modify it under  the  same  terms  as  Perl
       itself.

perl v5.38.2                                       2024-03-31                            Math::GSL::BSpline(3pm)