Math.Spline.BezierCurve

Documentation

data BezierCurve t

A Bezier curve on 0 <= x <= 1.

Instances

Spline BezierCurve v => ControlPoints BezierCurve v

(VectorSpace v, Fractional (Scalar v), Ord (Scalar v)) => Spline BezierCurve v

Eq t => Eq (BezierCurve t)

Ord t => Ord (BezierCurve t)

Show v => Show (BezierCurve v)

bezierCurve :: Vector t -> BezierCurve t

Construct a Bezier curve from a list of control points. The degree of the curve is one less than the number of control points.

splitBezierCurve :: VectorSpace v => BezierCurve v -> Scalar v -> (BezierCurve v, BezierCurve v)

Split and rescale a Bezier curve. Given a BezierCurve b and a point t, splitBezierCurve b t creates 2 curves (b1, b2) such that (up to reasonable numerical accuracy expectations):

 evalSpline b1  x    == evalSpline b (x * t)
 evalSpline b2 (x-t) == evalSpline b (x * (1-t))

evalSpline :: Spline s v => s v -> Scalar v -> v