oracular (3) Math::GSL::BSpline.3pm.gz

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) 2008-2024 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.