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	IsPeriodic () const
	Returns true if the curve is periodic.

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
	Returns true if calculation was passed succsesfully, the returned vectors gives the value of the derivative for the order of derivation theDerivativeOrder.

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.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Constructor & Destructor Documentation

◆ BSplineCurve2d() [1/3]

cadex::Geom::BSplineCurve2d::BSplineCurve2d ( )

inline

Constructor.

◆ BSplineCurve2d() [2/3]

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() [3/3]

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.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ 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().

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ 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().

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ NumberOfKnots()

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

Returns number of unique knots.

Returns the value specified in the constructor.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ NumberOfPoles()

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

Returns number of poles.

Returns the value specified in the constructor.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ Pole()

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

Returns a pole value.

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

See also: Weight().

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ 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().

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ 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() [1/3]

◆ BSplineCurve2d() [2/3]

◆ BSplineCurve2d() [3/3]

Member Function Documentation

◆ Degree()

◆ IsRational()

◆ Knot()

◆ Knots()

◆ Multiplicities()

◆ Multiplicity()

◆ NumberOfKnots()

◆ NumberOfPoles()

◆ Pole()

◆ Poles()

◆ Weight()

◆ Weights()