This class computes a distribution of points on a curve. The points may respect the deflection. The algorithm is not based on the classical prediction (with second derivative of curve), but either on the evaluation of the distance between the mid point and the point of mid parameter of the two points, or the distance between the mid point and the point at parameter 0.5 on the cubic interpolation of the two points and their tangents. Note: this algorithm is faster than a GCPnts_UniformDeflection algorithm, and is able to work with non-"C2" continuous curves. However, it generates more points in the distribution. More...

#include <GCPnts_QuasiUniformDeflection.hxx>

Public Member Functions
	GCPnts_QuasiUniformDeflection ()
	Constructs an empty algorithm. To define the problem to be solved, use the function Initialize. More...

	GCPnts_QuasiUniformDeflection (const Adaptor3d_Curve &C, const Standard_Real Deflection, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Computes a QuasiUniform Deflection distribution of points on the Curve `.` More...

	GCPnts_QuasiUniformDeflection (const Adaptor2d_Curve2d &C, const Standard_Real Deflection, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Computes a QuasiUniform Deflection distribution of points on the Curve `.` More...

	GCPnts_QuasiUniformDeflection (const Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Computes a QuasiUniform Deflection distribution of points on a part of the Curve `.` More...

	GCPnts_QuasiUniformDeflection (const Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Computes a QuasiUniform Deflection distribution of points on a part of the Curve `. This and the above algorithms compute a distribution of points:` More...

void	Initialize (const Adaptor3d_Curve &C, const Standard_Real Deflection, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Initialize the algoritms with `, <Deflection>` More...

void	Initialize (const Adaptor2d_Curve2d &C, const Standard_Real Deflection, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Initialize the algoritms with `, <Deflection>` More...

void	Initialize (const Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Initialize the algoritms with `, <Deflection>, <U1>,<U2>` More...

void	Initialize (const Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const GeomAbs_Shape Continuity=GeomAbs_C1)
	Initialize the algoritms with `, <Deflection>, – <U1>,<U2> This and the above algorithms initialize (or reinitialize) this algorithm and compute a distribution of points:` More...

Standard_Boolean	IsDone () const
	Returns true if the computation was successful. IsDone is a protection against: More...

Standard_Integer	NbPoints () const
	Returns the number of points of the distribution computed by this algorithm. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful. More...

Standard_Real	Parameter (const Standard_Integer Index) const
	Returns the parameter of the point of index Index in the distribution computed by this algorithm. Warning Index must be greater than or equal to 1, and less than or equal to the number of points of the distribution. However, pay particular attention as this condition is not checked by this function. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful. More...

gp_Pnt	Value (const Standard_Integer Index) const
	Returns the point of index Index in the distribution computed by this algorithm. Warning Index must be greater than or equal to 1, and less than or equal to the number of points of the distribution. However, pay particular attention as this condition is not checked by this function. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful. More...

Standard_Real	Deflection () const
	Returns the deflection between the curve and the polygon resulting from the points of the distribution computed by this algorithm. This is the value given to the algorithm at the time of construction (or initialization). Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful. More...

Detailed Description

This class computes a distribution of points on a curve. The points may respect the deflection. The algorithm is not based on the classical prediction (with second derivative of curve), but either on the evaluation of the distance between the mid point and the point of mid parameter of the two points, or the distance between the mid point and the point at parameter 0.5 on the cubic interpolation of the two points and their tangents. Note: this algorithm is faster than a GCPnts_UniformDeflection algorithm, and is able to work with non-"C2" continuous curves. However, it generates more points in the distribution.

Constructor & Destructor Documentation

GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection ( )

Constructs an empty algorithm. To define the problem to be solved, use the function Initialize.

GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection	(	const Adaptor3d_Curve &	C,
		const Standard_Real	Deflection,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Computes a QuasiUniform Deflection distribution of points on the Curve .

GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	Deflection,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Computes a QuasiUniform Deflection distribution of points on the Curve .

GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection	(	const Adaptor3d_Curve &	C,
		const Standard_Real	Deflection,
		const Standard_Real	U1,
		const Standard_Real	U2,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Computes a QuasiUniform Deflection distribution of points on a part of the Curve .

GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	Deflection,
		const Standard_Real	U1,
		const Standard_Real	U2,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Computes a QuasiUniform Deflection distribution of points on a part of the Curve . This and the above algorithms compute a distribution of points:

on the curve C, or
on the part of curve C limited by the two parameter values U1 and U2, where the deflection resulting from the distributed points is not greater than Deflection. The first point of the distribution is either the origin of curve C or the point of parameter U1. The last point of the distribution is either the end point of curve C or the point of parameter U2. Intermediate points of the distribution are built such that the deflection is not greater than Deflection. Using the following evaluation of the deflection: if Pi and Pj are two consecutive points of the distribution, respectively of parameter ui and uj on the curve, the deflection is the distance between:
the mid-point of Pi and Pj (the center of the chord joining these two points)
and the point of mid-parameter of these two points (the point of parameter [(ui+uj) / 2 ] on curve C). Continuity, defaulted to GeomAbs_C1, gives the degree of continuity of the curve C. (Note that C is an Adaptor3d_Curve or an Adaptor2d_Curve2d object, and does not know the degree of continuity of the underlying curve). Use the function IsDone to verify that the computation was successful, the function NbPoints to obtain the number of points of the computed distribution, and the function Parameter to read the parameter of each point. Warning
The roles of U1 and U2 are inverted if U1 > U2.
Derivative functions on the curve are called according to Continuity. An error may occur if Continuity is greater than the real degree of continuity of the curve. Warning C is an adapted curve, i.e. an object which is an interface between:
the services provided by either a 2D curve from the package Geom2d (in the case of an Adaptor2d_Curve2d curve) or a 3D curve from the package Geom (in the case of an Adaptor3d_Curve curve),
and those required on the curve by the computation algorithm.

Member Function Documentation

Standard_Real GCPnts_QuasiUniformDeflection::Deflection ( ) const

Returns the deflection between the curve and the polygon resulting from the points of the distribution computed by this algorithm. This is the value given to the algorithm at the time of construction (or initialization). Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful.

void GCPnts_QuasiUniformDeflection::Initialize	(	const Adaptor3d_Curve &	C,
		const Standard_Real	Deflection,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Initialize the algoritms with , <Deflection>

void GCPnts_QuasiUniformDeflection::Initialize	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	Deflection,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Initialize the algoritms with , <Deflection>

void GCPnts_QuasiUniformDeflection::Initialize	(	const Adaptor3d_Curve &	C,
		const Standard_Real	Deflection,
		const Standard_Real	U1,
		const Standard_Real	U2,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Initialize the algoritms with , <Deflection>, <U1>,<U2>

void GCPnts_QuasiUniformDeflection::Initialize	(	const Adaptor2d_Curve2d &	C,
		const Standard_Real	Deflection,
		const Standard_Real	U1,
		const Standard_Real	U2,
		const GeomAbs_Shape	Continuity = `GeomAbs_C1`
	)

Initialize the algoritms with , <Deflection>, – <U1>,<U2> This and the above algorithms initialize (or reinitialize) this algorithm and compute a distribution of points:

on the curve C, or
on the part of curve C limited by the two parameter values U1 and U2, where the deflection resulting from the distributed points is not greater than Deflection. The first point of the distribution is either the origin of curve C or the point of parameter U1. The last point of the distribution is either the end point of curve C or the point of parameter U2. Intermediate points of the distribution are built in such a way that the deflection is not greater than Deflection. Using the following evaluation of the deflection: if Pi and Pj are two consecutive points of the distribution, respectively of parameter ui and uj on the curve, the deflection is the distance between:
the mid-point of Pi and Pj (the center of the chord joining these two points)
and the point of mid-parameter of these two points (the point of parameter [(ui+uj) / 2 ] on curve C). Continuity, defaulted to GeomAbs_C1, gives the degree of continuity of the curve C. (Note that C is an Adaptor3d_Curve or an Adaptor2d_Curve2d object, and does not know the degree of continuity of the underlying curve). Use the function IsDone to verify that the computation was successful, the function NbPoints to obtain the number of points of the computed distribution, and the function Parameter to read the parameter of each point. Warning
The roles of U1 and U2 are inverted if U1 > U2.
Derivative functions on the curve are called according to Continuity. An error may occur if Continuity is greater than the real degree of continuity of the curve. Warning C is an adapted curve, i.e. an object which is an interface between:
the services provided by either a 2D curve from the package Geom2d (in the case of an Adaptor2d_Curve2d curve) or a 3D curve from the package Geom (in the case of an Adaptor3d_Curve curve), and those required on the curve by the computation algorithm.

Standard_Boolean GCPnts_QuasiUniformDeflection::IsDone ( ) const

Returns true if the computation was successful. IsDone is a protection against:

non-convergence of the algorithm
querying the results before computation.

Standard_Integer GCPnts_QuasiUniformDeflection::NbPoints ( ) const

Returns the number of points of the distribution computed by this algorithm. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful.

Standard_Real GCPnts_QuasiUniformDeflection::Parameter ( const Standard_Integer Index ) const

Returns the parameter of the point of index Index in the distribution computed by this algorithm. Warning Index must be greater than or equal to 1, and less than or equal to the number of points of the distribution. However, pay particular attention as this condition is not checked by this function. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful.

gp_Pnt GCPnts_QuasiUniformDeflection::Value ( const Standard_Integer Index ) const

Returns the point of index Index in the distribution computed by this algorithm. Warning Index must be greater than or equal to 1, and less than or equal to the number of points of the distribution. However, pay particular attention as this condition is not checked by this function. Exceptions StdFail_NotDone if this algorithm has not been initialized, or if the computation was not successful.

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

GCPnts_QuasiUniformDeflection.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation