Computes a set of  points on a curve from package <br>
     Adaptor3d  such  as between  two successive   points <br>
     P1(u1)and P2(u2) : <br>

. ||P1P3^P3P2||/||P1P3||*||P3P2||<AngularDeflection
. ||P1P2^P1P3||/||P1P2||*||P1P3||<CurvatureDeflection

where P3 is the point of abscissa ((u1+u2)/2), with
u1 the abscissa of the point P1 and u2 the abscissa
of the point P2.

^ is the cross product of two vectors, and ||P1P2||
the magnitude of the vector P1P2.

The conditions AngularDeflection > gp::Resolution()
and CurvatureDeflection > gp::Resolution() must be
satisfied at the construction time.

A minimum number of points can be fixed for a
linear or circular element.
Example:
Handle(Geom_BezierCurve) C = new Geom_BezierCurve (Poles);
GeomAdaptor_Curve Curve (C);
Real CDeflect = 0.01; //Curvature deflection
Real ADeflect = 0.09; //Angular deflection

GCPnts_TangentialDeflection PointsOnCurve;
PointsOnCurve.Initialize (Curve, ADeflect, CDeflect);

Real U;
gp_Pnt P;
for (Integer i=1; i<=PointsOnCurve.NbPoints();i++) {
U = PointsOnCurve.Parameter (i);
P = PointsOnCurve.Value (i);
}

More...

#include <GCPnts_TangentialDeflection.hxx>

Public Member Functions
	GCPnts_TangentialDeflection ()

	GCPnts_TangentialDeflection (const Adaptor3d_Curve &C, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

	GCPnts_TangentialDeflection (const Adaptor3d_Curve &C, const Standard_Real FirstParameter, const Standard_Real LastParameter, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

	GCPnts_TangentialDeflection (const Adaptor2d_Curve2d &C, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

	GCPnts_TangentialDeflection (const Adaptor2d_Curve2d &C, const Standard_Real FirstParameter, const Standard_Real LastParameter, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

void	Initialize (const Adaptor3d_Curve &C, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

void	Initialize (const Adaptor3d_Curve &C, const Standard_Real FirstParameter, const Standard_Real LastParameter, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

void	Initialize (const Adaptor2d_Curve2d &C, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

void	Initialize (const Adaptor2d_Curve2d &C, const Standard_Real FirstParameter, const Standard_Real LastParameter, const Standard_Real AngularDeflection, const Standard_Real CurvatureDeflection, const Standard_Integer MinimumOfPoints=2, const Standard_Real UTol=1.0e-9)

Standard_Integer	AddPoint (const gp_Pnt &thePnt, const Standard_Real theParam, const Standard_Boolean theIsReplace=Standard_True)
	Add point to already calculated points (or replace existing) Returns index of new added point or founded with parametric tolerance (replaced if theIsReplace is true) More...

Standard_Integer	NbPoints () const

Standard_Real	Parameter (const Standard_Integer I) const

gp_Pnt	Value (const Standard_Integer I) const

Detailed Description

Computes a set of  points on a curve from package <br>
     Adaptor3d  such  as between  two successive   points <br>
     P1(u1)and P2(u2) : <br>

. ||P1P3^P3P2||/||P1P3||*||P3P2||<AngularDeflection
. ||P1P2^P1P3||/||P1P2||*||P1P3||<CurvatureDeflection

where P3 is the point of abscissa ((u1+u2)/2), with
u1 the abscissa of the point P1 and u2 the abscissa
of the point P2.

^ is the cross product of two vectors, and ||P1P2||
the magnitude of the vector P1P2.

The conditions AngularDeflection > gp::Resolution()
and CurvatureDeflection > gp::Resolution() must be
satisfied at the construction time.

A minimum number of points can be fixed for a
linear or circular element.
Example:
Handle(Geom_BezierCurve) C = new Geom_BezierCurve (Poles);
GeomAdaptor_Curve Curve (C);
Real CDeflect = 0.01; //Curvature deflection
Real ADeflect = 0.09; //Angular deflection

GCPnts_TangentialDeflection PointsOnCurve;
PointsOnCurve.Initialize (Curve, ADeflect, CDeflect);

Real U;
gp_Pnt P;
for (Integer i=1; i<=PointsOnCurve.NbPoints();i++) {
U = PointsOnCurve.Parameter (i);
P = PointsOnCurve.Value (i);
}

Constructor & Destructor Documentation

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection ( )

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor3d_Curve &	C,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor3d_Curve &	C,
		const Standard_Real	FirstParameter,
		const Standard_Real	LastParameter,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

GCPnts_TangentialDeflection::GCPnts_TangentialDeflection	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	FirstParameter,
		const Standard_Real	LastParameter,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

Member Function Documentation

Standard_Integer GCPnts_TangentialDeflection::AddPoint	(	const gp_Pnt &	thePnt,
		const Standard_Real	theParam,
		const Standard_Boolean	theIsReplace = `Standard_True`
	)

Add point to already calculated points (or replace existing)
Returns index of new added point
or founded with parametric tolerance (replaced if theIsReplace is true)

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor3d_Curve &	C,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor3d_Curve &	C,
		const Standard_Real	FirstParameter,
		const Standard_Real	LastParameter,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

void GCPnts_TangentialDeflection::Initialize	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	FirstParameter,
		const Standard_Real	LastParameter,
		const Standard_Real	AngularDeflection,
		const Standard_Real	CurvatureDeflection,
		const Standard_Integer	MinimumOfPoints = `2`,
		const Standard_Real	UTol = `1.0e-9`
	)

Standard_Integer GCPnts_TangentialDeflection::NbPoints ( ) const

Standard_Real GCPnts_TangentialDeflection::Parameter ( const Standard_Integer I ) const

gp_Pnt GCPnts_TangentialDeflection::Value ( const Standard_Integer I ) const

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

GCPnts_TangentialDeflection.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation