BEZIER< NumericType > Class Template Reference

Generic cubic Bezier representation. More...

#include <bezier_curves.h>

Public Member Functions
	BEZIER ()=default
constexpr	BEZIER (const VECTOR2< NumericType > &aStart, const VECTOR2< NumericType > &aC1, const VECTOR2< NumericType > &aC2, const VECTOR2< NumericType > &aEnd)
constexpr VECTOR2< NumericType >	PointAt (double aT) const
	Evaluate the Bezier curve at a given t value.
constexpr void	Split (double aT, BEZIER &aLeft, BEZIER &aRight) const
	Split the Bezier curve into two curves at aT using de Casteljau subdivision.
constexpr BEZIER	SubCurve (double aT0, double aT1) const
	Extract a sub-curve from aT0 to aT1 using de Casteljau subdivision.

Public Attributes
VECTOR2< NumericType >	Start
VECTOR2< NumericType >	C1
VECTOR2< NumericType >	C2
VECTOR2< NumericType >	End

Detailed Description

template<typename NumericType>
class BEZIER< NumericType >

Generic cubic Bezier representation.

Definition at line 90 of file bezier_curves.h.

Constructor & Destructor Documentation

BEZIER() [1/2]

template<typename NumericType>

BEZIER< NumericType >::BEZIER ( )

default

Referenced by Split(), and SubCurve().

BEZIER() [2/2]

template<typename NumericType>

BEZIER< NumericType >::BEZIER ( const VECTOR2< NumericType > & aStart, const VECTOR2< NumericType > & aC1, const VECTOR2< NumericType > & aC2, const VECTOR2< NumericType > & aEnd )

inlineconstexpr

Definition at line 95 of file bezier_curves.h.

References C1, C2, End, and Start.

Member Function Documentation

PointAt()

template<typename NumericType>

VECTOR2< NumericType > BEZIER< NumericType >::PointAt ( double aT ) const

inlineconstexpr

Evaluate the Bezier curve at a given t value.

aT doesn't have to be in the range [0, 1], but if it's not, the point will not be on the curve.

Parameters

aT	the t value to evaluate the curve at (0 = start, 1 = end)

Returns

the point on the curve at t (0 <= t <= 1)

Definition at line 110 of file bezier_curves.h.

References C1, C2, End, and Start.

Referenced by BOOST_AUTO_TEST_CASE(), and SubCurve().

Split()

template<typename NumericType>

void BEZIER< NumericType >::Split ( double aT, BEZIER< NumericType > & aLeft, BEZIER< NumericType > & aRight ) const

inlineconstexpr

Split the Bezier curve into two curves at aT using de Casteljau subdivision.

Parameters

aT	the t value to split the curve at (0 = start, 1 = end).
aLeft	receives the curve segment from 0 to aT.
aRight	receives the curve segment from aT to 1.

Definition at line 129 of file bezier_curves.h.

References BEZIER(), C1, C2, End, and Start.

Referenced by SubCurve().

SubCurve()

template<typename NumericType>

BEZIER BEZIER< NumericType >::SubCurve ( double aT0, double aT1 ) const

inlineconstexpr

Extract a sub-curve from aT0 to aT1 using de Casteljau subdivision.

Definition at line 145 of file bezier_curves.h.

References BEZIER(), left, PointAt(), right, and Split().

Referenced by BOOST_AUTO_TEST_CASE().

Member Data Documentation

C1

template<typename NumericType>

VECTOR2<NumericType> BEZIER< NumericType >::C1

Definition at line 194 of file bezier_curves.h.

Referenced by BEZIER(), bezierSpeedAt(), PointAt(), Split(), and TransformEllipseToBeziers().

C2

template<typename NumericType>

VECTOR2<NumericType> BEZIER< NumericType >::C2

Definition at line 195 of file bezier_curves.h.

Referenced by BEZIER(), bezierSpeedAt(), PointAt(), Split(), and TransformEllipseToBeziers().

End

template<typename NumericType>

VECTOR2<NumericType> BEZIER< NumericType >::End

Definition at line 196 of file bezier_curves.h.

Referenced by BEZIER(), bezierSpeedAt(), BOOST_AUTO_TEST_CASE(), PointAt(), Split(), and TransformEllipseToBeziers().

Start

template<typename NumericType>

VECTOR2<NumericType> BEZIER< NumericType >::Start

Definition at line 193 of file bezier_curves.h.

Referenced by BEZIER(), bezierSpeedAt(), BOOST_AUTO_TEST_CASE(), PointAt(), Split(), and TransformEllipseToBeziers().

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The documentation for this class was generated from the following file:

• bezier_curves.h