Defines 2D Bezier curve. More...

#include <cadex/Geom/BezierCurve2d.hxx>

Inheritance diagram for cadex::Geom::BezierCurve2d:

Public Member Functions
	BezierCurve2d ()
	Constructor.

	BezierCurve2d (const std::vector< Point2d > &thePoles)
	Constructor.

	BezierCurve2d (const std::vector< Point2d > &thePoles, const std::vector< double > &thePoleWeights)
	Constructor.

int	Degree () const
	Returns degree.

int	NumberOfPoles () const
	Returns number of poles.

Point2d	Pole (int theIndex) const
	Returns a pole value.

std::vector< Point2d >	Poles () const
	Populates a vector of poles.

double	Weight (int theIndex) const
	Returns a weight value.

std::vector< double >	Weights () const
	Populates a vector of weights.

Public Member Functions inherited from cadex::Geom::Curve2d
	Curve2d ()
	Constructor.

CurveType	Type () const
	Returns a curve type.

Geom::Continuity	Continuity () const
	Returns a continuity type of the curve.

Geom::Point2d	Value (double theParameter) const
	Evaluates a point on the curve.

Geom::Direction2d	Normal (double theParameter) const
	Returns the normal direction theNormal of parameter theParam.

double	Curvature (double theParameter) const
	Returns the curvature value of parameter theParam.

double	UMin () const
	Returns a minimum parameter of a definition domain.

double	UMax () const
	Returns a maximum parameter of a definition domain.

void	Domain (double &theUMin, double &theUMax) const
	Returns a definition domain.

bool	IsTrimmed () const
	Returns whether curve is trimmed or not.

void	SetTrim (double theFirst, double theLast)
	Trims curve with [theFirst, theLast] section.

void	D0 (double theParameter, Point2d &theValue) const
	Returns the point theValue of parameter theParam.

void	D1 (double theParameter, Point2d &theValue, Vector2d &theD1) const
	Returns the point theValue of parameter theParam and the first derivative theD1.

void	D2 (double theParameter, Point2d &theValue, Vector2d &theD1, Vector2d &theD2) const
	Returns the point theValue of parameter theParam and second derivatives theD1 and theD2.

bool	DN (double theParameter, size_t theDerivativeOrder, Geom::Point2d &theValue, std::vector< Geom::Vector2d > &theD) const

void	Transform (const Transformation2d &theTransformation)
	Applies transformation matrix to this object.

Curve2d	Transformed (const Transformation2d &theTransformation) const
	Returns a copy this object after applying transformation.

Public Member Functions inherited from cadex::BaseObject
size_t	Id () const
	Return unique identifier of public object.

internal::BaseObjectImpl *	Impl () const

bool	IsNull () const

	operator bool () const

template<typename T >
bool	IsOfType () const

template<typename T >
T *	Impl () const
	Reserved for internal use.

Static Public Member Functions
static bool	CompareType (const BaseObject &theObject)

Static Public Member Functions inherited from cadex::Geom::Curve2d
static bool	CompareType (const BaseObject &theObject)

Static Public Member Functions inherited from cadex::Geom::Geometry
static bool	CompareType (const BaseObject &theObject)

Additional Inherited Members
Public Types inherited from cadex::BaseObject
typedef std::shared_ptr< internal::BaseObjectImpl >	ImplType

Protected Member Functions inherited from cadex::Geom::Curve2d
	Curve2d (const ImplType &theImpl)

Protected Member Functions inherited from cadex::Geom::Geometry
	Geometry (const ImplType &theImpl)

Protected Member Functions inherited from cadex::BaseObject
	BaseObject (const ImplType &theImpl)

Detailed Description

Defines 2D Bezier curve.

For detailed description refer to 3D counterpart BezierCurve.

Constructor & Destructor Documentation

◆ BezierCurve2d() [1/2]

cadex::Geom::BezierCurve2d::BezierCurve2d ( const std::vector< Point2d > & thePoles )

Constructor.

Creates a polynomial Bezier curve.

thePoles and must belong to [2, 26]. Created curve has a degree equal to theNumberOfPoles - 1.

◆ BezierCurve2d() [2/2]

cadex::Geom::BezierCurve2d::BezierCurve2d	(	const std::vector< Point2d > &	thePoles,
		const std::vector< double > &	thePoleWeights )

Constructor.

Creates a rational Bezier curve.

thePoles and thePoleWeights and must belong to [2, 26]. Created curve has a degree equal to theNumberOfPoles - 1.

Poles are to be provided after division by their weights.

Member Function Documentation

◆ Degree()

int cadex::Geom::BezierCurve2d::Degree ( ) const

Returns degree.

Returns the value equal to NumberOfPoles() - 1.

◆ NumberOfPoles()

int cadex::Geom::BezierCurve2d::NumberOfPoles ( ) const

Returns number of poles.

Returns the value specified in the constructor.

◆ Pole()

Point2d cadex::Geom::BezierCurve2d::Pole ( int theIndex ) const

Returns a pole value.

theIndex must be in the range [1, NumberOfPoles()].

See also: Weight().

◆ Poles()

std::vector< Point2d > cadex::Geom::BezierCurve2d::Poles ( ) const

Populates a vector of poles.

thePoles must point to a buffer in memory with at least NumberOfPoles() preallocated values.

Returns NumberOfPoles().

See also: Weights().

◆ Weight()

double cadex::Geom::BezierCurve2d::Weight ( int theIndex ) const

Returns a weight value.

theIndex must be in the range [1, NumberOfPoles()].

For polynomial Bezier behavior is undefined.

See also: Pole().

◆ Weights()

std::vector< double > cadex::Geom::BezierCurve2d::Weights ( ) const

Populates a vector of weights.

theWeights must point to a buffer in memory with at least NumberOfPoles() preallocated values.