UE::CubicBezier Namespace Reference

Functions
FVector	Eval (const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, const float t)
FVector	EvalDerivate (const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, const float t)
ENGINE_API void	SplitAt (const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, const float t, FVector OutResult[5])
ENGINE_API FBox	CalcBounds (const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3)
ENGINE_API void	ClosestPointApproximate (const FVector &FromPoint, const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, FVector &OutClosestPoint, float &OutClosestT, const int Steps=16)
ENGINE_API void	SegmentClosestPointApproximate (const FVector &SegStart, const FVector &SegEnd, const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, FVector &OutClosestPoint, float &OutClosestT, const int Steps=16)
ENGINE_API float	ArcLengthApproximate (const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3)
ENGINE_API void	Tessellate (TArray< FVector > &Output, const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, const float Tolerance, const int MaxLevel=6)
void	TessellateRecursive (TArray< FVector > &Output, const FVector &P0, const FVector &P1, const FVector &P2, const FVector &P3, const float ToleranceSqr, int Level, const int MaxLevel)

Function Documentation

ArcLengthApproximate()

float UE::CubicBezier::ArcLengthApproximate	(	const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3
	)

Returns approximate arc length of cubic bezier. The length is calculated based on control point hull with one subdivision.

CalcBounds()

FBox UE::CubicBezier::CalcBounds	(	const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3
	)

Returns bounding box of cubic bezier curve.

ClosestPointApproximate()

void UE::CubicBezier::ClosestPointApproximate	(	const FVector &	FromPoint,
		const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3,
		FVector &	OutClosestPoint,
		float &	OutClosestT,
		const int	Steps = 16
	)

Returns closest point to cubic bezier segment. The curve is split to up to Steps linear segments for approximate calculation.

Eval()

FVector UE::CubicBezier::Eval ( const FVector &  P0, const FVector &  P1, const FVector &  P2, const FVector &  P3, const float  t  )

inline

Evaluates cubic bezier value at specified time

EvalDerivate()

FVector UE::CubicBezier::EvalDerivate ( const FVector &  P0, const FVector &  P1, const FVector &  P2, const FVector &  P3, const float  t  )

inline

Evaluates cubic bezier derivative at specified time

SegmentClosestPointApproximate()

void UE::CubicBezier::SegmentClosestPointApproximate	(	const FVector &	SegStart,
		const FVector &	SegEnd,
		const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3,
		FVector &	OutClosestPoint,
		float &	OutClosestT,
		const int	Steps = 16
	)

Returns closest point between a linear segment and cubic bezier segment. The curve is split to up to Steps linear segments for approximate calculation.

SplitAt()

void UE::CubicBezier::SplitAt	(	const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3,
		const float	t,
		FVector	OutResult[5]
	)

Splits cubic bezier curve at specified time, returns new points. The new curves are (P0, Result[0], Result[1], Result[2]) and (P0, Result[2], Result[3], Result[4], P3)

Tessellate()

void UE::CubicBezier::Tessellate	(	TArray< FVector > &	Output,
		const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3,
		const float	Tolerance,
		const int	MaxLevel = 6
	)

Recursively tessellate a bezier curve until the segments are within Tolerance from the curve, or until max recursion level is reached. Output will contain points describing linear segments of the flattened curve. Note that the points are appended, and that the first point is omitted so that the function can be used to flatten a bezier shape.

TessellateRecursive()

void UE::CubicBezier::TessellateRecursive	(	TArray< FVector > &	Output,
		const FVector &	P0,
		const FVector &	P1,
		const FVector &	P2,
		const FVector &	P3,
		const float	ToleranceSqr,
		int	Level,
		const int	MaxLevel
	)