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# 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 informations on the functions, we refer you to the GSL offcial documentation: http://www.gnu.org/software/gsl/manual/html_node/

Coming soon.

# AUTHORS

Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com> Visit the GSP FreeBSD Man Page Interface.