Safe Haskell	None
Language	Haskell98

Geom2D.CubicBezier.Basic

Synopsis

Documentation

data CubicBezier Source

Constructors

CubicBezier
Fields bezierC0 :: Point bezierC1 :: Point bezierC2 :: Point bezierC3 :: Point

Instances

Show CubicBezier
AffineTransform CubicBezier

data PathJoin Source

Constructors

JoinLine
JoinCurve Point Point

Instances

Show PathJoin

data Path Source

Constructors

OpenPath [(Point, PathJoin)] Point
ClosedPath [(Point, PathJoin)]

Instances

Show Path

class AffineTransform a where Source

Methods

transform :: Transform -> a -> a Source

Instances

AffineTransform Polygon
AffineTransform Transform
AffineTransform Point
AffineTransform CubicBezier

bezierParam :: Double -> Bool Source

Return True if the param lies on the curve, iff it's in the interval [0, 1].

bezierParamTolerance :: CubicBezier -> Double -> Double Source

Convert a tolerance from the codomain to the domain of the bezier curve. Should be good enough, but may not hold for high very tolerance values.

reorient :: CubicBezier -> CubicBezier Source

Reorient to the curve B(1-t).

bezierToBernstein :: CubicBezier -> (BernsteinPoly, BernsteinPoly) Source

Give the bernstein polynomial for each coordinate.

evalBezier :: CubicBezier -> Double -> Point Source

Calculate a value on the curve.

evalBezierDeriv :: CubicBezier -> Double -> (Point, Point) Source

Calculate a value and the first derivative on the curve.

evalBezierDerivs :: CubicBezier -> Double -> [Point] Source

Calculate a value and all derivatives on the curve.

findBezierTangent :: Point -> CubicBezier -> [Double] Source

findBezierTangent p b finds the parameters where the tangent of the bezier curve b has the same direction as vector p.

bezierHoriz :: CubicBezier -> [Double] Source

Find the parameter where the bezier curve is horizontal.

bezierVert :: CubicBezier -> [Double] Source

Find the parameter where the bezier curve is vertical.

findBezierInflection :: CubicBezier -> [Double] Source

Find inflection points on the curve.

findBezierCusp :: CubicBezier -> [Double] Source

Find the cusps of a bezier.

arcLength :: CubicBezier -> Double -> Double -> Double Source

@arcLength c t tol finds the arclength of the bezier c at t, within given tolerance tol.

arcLengthParam :: CubicBezier -> Double -> Double -> Double Source

arcLengthParam c len tol finds the parameter where the curve c has the arclength len, within tolerance tol.

splitBezier :: CubicBezier -> Double -> (CubicBezier, CubicBezier) Source

Split a bezier curve into two curves.

bezierSubsegment :: CubicBezier -> Double -> Double -> CubicBezier Source

Return the subsegment between the two parameters.

splitBezierN :: CubicBezier -> [Double] -> [CubicBezier] Source

Split a bezier curve into a list of beziers The parameters should be in ascending order or the result is unpredictable.

colinear :: CubicBezier -> Double -> Bool Source

Return False if some points fall outside a line with a thickness of the given tolerance.