Defines 2D B-Spline curve. More...

#include <cadex/Geom/BSplineCurve2d.hxx>

Inheritance diagram for cadex::Geom::BSplineCurve2d:

Public Member Functions
	BSplineCurve2d ()
	Constructor.

	BSplineCurve2d (const std::vector< Point2d > &thePoles, const std::vector< double > &theKnots, const std::vector< int > &theMultiplicities, int theDegree, bool theIsPeriodic=false)
	Constructor.

	BSplineCurve2d (const std::vector< Point2d > &thePoles, const std::vector< double > &thePoleWeights, const std::vector< double > &theKnots, const std::vector< int > &theMultiplicities, int theDegree, bool theIsPeriodic=false)
	Constructor.

int	Degree () const
	Returns degree.

int	NumberOfKnots () const
	Returns number of unique knots.

int	NumberOfPoles () const
	Returns number of poles.

double	Knot (int theIndex) const
	Returns a knot value.

std::vector< double >	Knots () const
	Populates a vector of knots.

int	Multiplicity (int theIndex) const
	Returns a knot multiplicity.

std::vector< int >	Multiplicities () const
	Populates a vector of knot multiplicities.

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.

bool	IsRational () const
	Returns true if the B-Spline curve is rational (i.e. has 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 B-Spline curve.

For detailed description refer to 3D counterpart BSplineCurve.

Constructor & Destructor Documentation

◆ BSplineCurve2d() [1/2]

cadex::Geom::BSplineCurve2d::BSplineCurve2d	(	const std::vector< Point2d > &	thePoles,
		const std::vector< double > &	theKnots,
		const std::vector< int > &	theMultiplicities,
		int	theDegree,
		bool	theIsPeriodic = false )

Constructor.

Creates a polynomial B-Spline curve.

Parameters:

theNumberOfPoles defines the length of thePoles and must be >=2;
theNumberOfKnots defines the length of theKnots and theMultiplicities and must be >=2;
theDegree must belong to range [1, 25];
theIsPeriodic specifies if the B-Spline is periodic.

theNumberOfPoles must meet the requirements described for Geom::BSplineCurve.

◆ BSplineCurve2d() [2/2]

cadex::Geom::BSplineCurve2d::BSplineCurve2d	(	const std::vector< Point2d > &	thePoles,
		const std::vector< double > &	thePoleWeights,
		const std::vector< double > &	theKnots,
		const std::vector< int > &	theMultiplicities,
		int	theDegree,
		bool	theIsPeriodic = false )

Constructor.

Creates a rational B-Spline curve.

Parameters:

theNumberOfPoles defines the length of thePoles and thePoleWeights and must be >=2;
theNumberOfKnots defines the length of theKnots and theMultiplicities and must be >=2;
theDegree must belong to range [1, 25];
theIsPeriodic specifies if the B-Spline is periodic.

theNumberOfPoles must meet the requirements described for Geom::BSplineCurve.

Poles are to be provided after division by their weights.

Member Function Documentation

◆ Degree()

int cadex::Geom::BSplineCurve2d::Degree ( ) const

Returns degree.

Returns the value specified in the constructor.

◆ IsRational()

bool cadex::Geom::BSplineCurve2d::IsRational ( ) const

Returns true if the B-Spline curve is rational (i.e. has weights).

See also: Weight().

◆ Knot()

double cadex::Geom::BSplineCurve2d::Knot ( int theIndex ) const

Returns a knot value.

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

See also: Multiplicity().

◆ Knots()

std::vector< double > cadex::Geom::BSplineCurve2d::Knots ( ) const

Populates a vector of knots.

theKnots must point to a buffer in memory with at least NumberOfKnots() preallocated values.

Returns NumberOfKnots().

See also: Multiplicities().

◆ Multiplicities()

std::vector< int > cadex::Geom::BSplineCurve2d::Multiplicities ( ) const

Populates a vector of knot multiplicities.

theMultiplicities must point to a buffer in memory with at least NumberOfKnots() preallocated values.

Returns NumberOfKnots().

See also: Knots().

◆ Multiplicity()

int cadex::Geom::BSplineCurve2d::Multiplicity ( int theIndex ) const

Returns a knot multiplicity.

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

See also: Knot().

◆ NumberOfKnots()

int cadex::Geom::BSplineCurve2d::NumberOfKnots ( ) const

Returns number of unique knots.

Returns the value specified in the constructor.

◆ NumberOfPoles()

int cadex::Geom::BSplineCurve2d::NumberOfPoles ( ) const

Returns number of poles.

Returns the value specified in the constructor.

◆ Pole()

Point2d cadex::Geom::BSplineCurve2d::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::BSplineCurve2d::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::BSplineCurve2d::Weight ( int theIndex ) const

Returns a weight value.

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

For polynomial B-Spline behavior is undefined.

See also: Pole().

◆ Weights()

std::vector< double > cadex::Geom::BSplineCurve2d::Weights ( ) const

Populates a vector of weights.

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

Returns NumberOfPoles().

For polynomial B-Spline does nothing and returns 0.

See also: Poles().

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ BSplineCurve2d() [1/2]

◆ BSplineCurve2d() [2/2]

Member Function Documentation

◆ Degree()

◆ IsRational()

◆ Knot()

◆ Knots()

◆ Multiplicities()

◆ Multiplicity()

◆ NumberOfKnots()

◆ NumberOfPoles()

◆ Pole()

◆ Poles()

◆ Weight()

◆ Weights()