Describes functions for computing all the extrema between two 2D curves. An ExtremaCurveCurve algorithm minimizes or maximizes the distance between a point on the first curve and a point on the second curve. Thus, it computes the start point and end point of perpendiculars common to the two curves (an intersection point is not an extremum except where the two curves are tangential at this point). Solutions consist of pairs of points, and an extremum is considered to be a segment joining the two points of a solution. An ExtremaCurveCurve object provides a framework for: More...

#include <Geom2dAPI_ExtremaCurveCurve.hxx>

Public Member Functions
	Geom2dAPI_ExtremaCurveCurve (const Handle< Geom2d_Curve > &C1, const Handle< Geom2d_Curve > &C2, const Standard_Real U1min, const Standard_Real U1max, const Standard_Real U2min, const Standard_Real U2max)
	Computes the extrema between. More...

Standard_Integer	NbExtrema () const
	Returns the number of extrema computed by this algorithm. Note: if this algorithm fails, NbExtrema returns 0. More...

	operator Standard_Integer () const

void	Points (const Standard_Integer Index, gp_Pnt2d &P1, gp_Pnt2d &P2) const
	Returns the points P1 on the first curve and P2 on the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

void	Parameters (const Standard_Integer Index, Standard_Real &U1, Standard_Real &U2) const
	Returns the parameters U1 of the point on the first curve and U2 of the point on the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

Standard_Real	Distance (const Standard_Integer Index) const
	Computes the distance between the end points of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm. More...

void	NearestPoints (gp_Pnt2d &P1, gp_Pnt2d &P2) const
	Returns the points P1 on the first curve and P2 on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails. More...

void	LowerDistanceParameters (Standard_Real &U1, Standard_Real &U2) const
	Returns the parameters U1 of the point on the first curve and U2 of the point on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails. More...

Standard_Real	LowerDistance () const
	Computes the distance between the end points of the shortest extremum computed by this algorithm. Exceptions - StdFail_NotDone if this algorithm fails. More...

	operator Standard_Real () const

const Extrema_ExtCC2d &	Extrema () const

Detailed Description

Describes functions for computing all the extrema between two 2D curves. An ExtremaCurveCurve algorithm minimizes or maximizes the distance between a point on the first curve and a point on the second curve. Thus, it computes the start point and end point of perpendiculars common to the two curves (an intersection point is not an extremum except where the two curves are tangential at this point). Solutions consist of pairs of points, and an extremum is considered to be a segment joining the two points of a solution. An ExtremaCurveCurve object provides a framework for:

defining the construction of the extrema,
implementing the construction algorithm, and
consulting the results. Warning In some cases, the nearest points between two curves do not correspond to one of the computed extrema. Instead, they may be given by:
a limit point of one curve and one of the following:
its orthogonal projection on the other curve,
a limit point of the other curve; or
an intersection point between the two curves.

Constructor & Destructor Documentation

◆ Geom2dAPI_ExtremaCurveCurve()

Geom2dAPI_ExtremaCurveCurve::Geom2dAPI_ExtremaCurveCurve	(	const Handle< Geom2d_Curve > &	C1,
		const Handle< Geom2d_Curve > &	C2,
		const Standard_Real	U1min,
		const Standard_Real	U1max,
		const Standard_Real	U2min,
		const Standard_Real	U2max
	)

Computes the extrema between.

the portion of the curve C1 limited by the two points of parameter (U1min,U1max), and
the portion of the curve C2 limited by the two points of parameter (U2min,U2max). Warning Use the function NbExtrema to obtain the number of solutions. If this algorithm fails, NbExtrema returns 0.

Member Function Documentation

◆ Distance()

Standard_Real Geom2dAPI_ExtremaCurveCurve::Distance ( const Standard_Integer Index ) const

Computes the distance between the end points of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm.

◆ Extrema()

const Extrema_ExtCC2d& Geom2dAPI_ExtremaCurveCurve::Extrema ( ) const

◆ LowerDistance()

Standard_Real Geom2dAPI_ExtremaCurveCurve::LowerDistance ( ) const

Computes the distance between the end points of the shortest extremum computed by this algorithm. Exceptions - StdFail_NotDone if this algorithm fails.

◆ LowerDistanceParameters()

void Geom2dAPI_ExtremaCurveCurve::LowerDistanceParameters	(	Standard_Real &	U1,
		Standard_Real &	U2
	)		const

Returns the parameters U1 of the point on the first curve and U2 of the point on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails.

◆ NbExtrema()

Standard_Integer Geom2dAPI_ExtremaCurveCurve::NbExtrema ( ) const

Returns the number of extrema computed by this algorithm. Note: if this algorithm fails, NbExtrema returns 0.

◆ NearestPoints()

void Geom2dAPI_ExtremaCurveCurve::NearestPoints	(	gp_Pnt2d &	P1,
		gp_Pnt2d &	P2
	)		const

Returns the points P1 on the first curve and P2 on the second curve, which are the ends of the shortest extremum computed by this algorithm. Exceptions StdFail_NotDone if this algorithm fails.

◆ operator Standard_Integer()

Geom2dAPI_ExtremaCurveCurve::operator Standard_Integer ( ) const

◆ operator Standard_Real()

Geom2dAPI_ExtremaCurveCurve::operator Standard_Real ( ) const

◆ Parameters()

void Geom2dAPI_ExtremaCurveCurve::Parameters	(	const Standard_Integer	Index,
		Standard_Real &	U1,
		Standard_Real &	U2
	)		const

Returns the parameters U1 of the point on the first curve and U2 of the point on the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm.

◆ Points()

void Geom2dAPI_ExtremaCurveCurve::Points	(	const Standard_Integer	Index,
		gp_Pnt2d &	P1,
		gp_Pnt2d &	P2
	)		const

Returns the points P1 on the first curve and P2 on the second curve, which are the ends of the extremum of index Index computed by this algorithm. Exceptions Standard_OutOfRange if Index is not in the range [ 1,NbExtrema ], where NbExtrema is the number of extrema computed by this algorithm.

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

Geom2dAPI_ExtremaCurveCurve.hxx

Public Member Functions