## SYNOPSIS

use Math::Bezier;

# create curve passing list of (x, y) control points

my $bezier = Math::Bezier->new($x1, $y1, $x2, $y2, ..., $xn, $yn);

# or pass reference to list of control points

my $bezier = Math::Bezier->new([ $x1, $y1, $x2, $y2, ..., $xn, $yn]);

# determine (x, y) at point along curve, range 0 -> 1

my ($x, $y) = $bezier->point(0.5);

# returns list ref in scalar context

my $xy = $bezier->point(0.5);

# return list of 20 (x, y) points along curve

my @curve = $bezier->curve(20);

# returns list ref in scalar context

my $curve = $bezier->curve(20);

## DESCRIPTION

This module implements the algorithm for the solution of Bezier curves as presented by Robert D. Miller in Graphics Gems V, ``Quick and Simple Bezier Curve Drawing''.
A new Bezier curve is created using the *new()* constructor, passing a list
of (x, y) control points.

use Math::Bezier; my @control = ( 0, 0, 10, 20, 30, -20, 40, 0 ); my $bezier = Math::Bezier->new(@control);

Alternately, a reference to a list of control points may be passed.

my $bezier = Math::Bezier->new(\@control);

The point($theta) method can then be called on the object, passing a value in the range 0 to 1 which represents the distance along the curve. When called in list context, the method returns the x and y coordinates of that point on the Bezier curve.

my ($x, $y) = $bezier->point(0.5); print "x: $x y: $y\n

When called in scalar context, it returns a reference to a list containing the x and y coordinates.

my $point = $bezier->point(0.5); print "x: $point->[0] y: $point->[1]\n";

The curve($n) method can be used to return a set of points sampled
along the length of the curve (i.e. in the range 0 <= `$theta` <= 1).
The parameter indicates the number of sample points required,
defaulting to 20 if undefined. The method returns a list of ($x1,
`$y1`, `$x2`, `$y2`, ..., `$xn`, `$yn`) points when called in list context, or
a reference to such an array when called in scalar context.

my @points = $bezier->curve(10); while (@points) { my ($x, $y) = splice(@points, 0, 2); print "x: $x y: $y\n"; } my $points = $bezier->curve(10); while (@$points) { my ($x, $y) = splice(@$points, 0, 2); print "x: $x y: $y\n"; }