Describes functions for computing all the extrema between two surfaces. An ExtremaSurfaceSurface algorithm minimizes or maximizes the distance between a point on the first surface and a point on the second surface. Results are start and end points of perpendiculars common to the two surfaces. Solutions consist of pairs of points, and an extremum is considered to be a segment joining the two points of a solution. An ExtremaSurfaceSurface object provides a framework for: More...

#include <GeomAPI_ExtremaSurfaceSurface.hxx>

Public Member Functions
	GeomAPI_ExtremaSurfaceSurface ()
	Constructs an empty algorithm for computing extrema between two surfaces. Use an Init function to define the surfaces on which it is going to work.

	GeomAPI_ExtremaSurfaceSurface (const occ::handle< Geom_Surface > &S1, const occ::handle< Geom_Surface > &S2)
	Computes the extrema distances between the surfaces <S1> and <S2>

	GeomAPI_ExtremaSurfaceSurface (const occ::handle< Geom_Surface > &S1, const occ::handle< Geom_Surface > &S2, const double U1min, const double U1max, const double V1min, const double V1max, const double U2min, const double U2max, const double V2min, const double V2max)
	Computes the extrema distances between the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and.

void	Init (const occ::handle< Geom_Surface > &S1, const occ::handle< Geom_Surface > &S2)
	Initializes this algorithm with the given arguments and computes the extrema distances between the surfaces <S1> and <S2>

void	Init (const occ::handle< Geom_Surface > &S1, const occ::handle< Geom_Surface > &S2, const double U1min, const double U1max, const double V1min, const double V1max, const double U2min, const double U2max, const double V2min, const double V2max)
	Initializes this algorithm with the given arguments and computes the extrema distances between - the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and.

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

	operator int () const

void	Points (const int Index, gp_Pnt &P1, gp_Pnt &P2) const
	Returns the points P1 on the first surface and P2 on the second surface, 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.

void	Parameters (const int Index, double &U1, double &V1, double &U2, double &V2) const
	Returns the parameters (U1,V1) of the point on the first surface, and (U2,V2) of the point on the second surface, 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.

double	Distance (const int 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.

bool	IsParallel () const
	Returns True if the surfaces are parallel.

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

void	LowerDistanceParameters (double &U1, double &V1, double &U2, double &V2) const
	Returns the parameters (U1,V1) of the point on the first surface and (U2,V2) of the point on the second surface, which are the ends of the shortest extremum computed by this algorithm. Exceptions - StdFail_NotDone if this algorithm fails.

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

	operator double () const

const Extrema_ExtSS &	Extrema () const
	return the algorithmic object from Extrema

Detailed Description

Describes functions for computing all the extrema between two surfaces. An ExtremaSurfaceSurface algorithm minimizes or maximizes the distance between a point on the first surface and a point on the second surface. Results are start and end points of perpendiculars common to the two surfaces. Solutions consist of pairs of points, and an extremum is considered to be a segment joining the two points of a solution. An ExtremaSurfaceSurface 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 the two surfaces do not correspond to one of the computed extrema. Instead, they may be given by:
a point of a bounding curve of one surface and one of the following:
its orthogonal projection on the other surface,
a point of a bounding curve of the other surface; or
any point on intersection curves between the two surfaces.

Constructor & Destructor Documentation

◆ GeomAPI_ExtremaSurfaceSurface() [1/3]

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface ( )

Constructs an empty algorithm for computing extrema between two surfaces. Use an Init function to define the surfaces on which it is going to work.

◆ GeomAPI_ExtremaSurfaceSurface() [2/3]

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface	(	const occ::handle< Geom_Surface > &	S1,
		const occ::handle< Geom_Surface > &	S2 )

Computes the extrema distances between the surfaces <S1> and <S2>

◆ GeomAPI_ExtremaSurfaceSurface() [3/3]

GeomAPI_ExtremaSurfaceSurface::GeomAPI_ExtremaSurfaceSurface	(	const occ::handle< Geom_Surface > &	S1,
		const occ::handle< Geom_Surface > &	S2,
		const double	U1min,
		const double	U1max,
		const double	V1min,
		const double	V1max,
		const double	U2min,
		const double	U2max,
		const double	V2min,
		const double	V2max )

Computes the extrema distances between the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and.

the portion of the surface S2 limited by the two values of parameter (U2min,U2max) in the u parametric direction, and by the two values of parameter (V2min,V2max) in the v parametric direction.

Member Function Documentation

◆ Distance()

double GeomAPI_ExtremaSurfaceSurface::Distance ( const int 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_ExtSS & GeomAPI_ExtremaSurfaceSurface::Extrema ( ) const

return the algorithmic object from Extrema

◆ Init() [1/2]

void GeomAPI_ExtremaSurfaceSurface::Init	(	const occ::handle< Geom_Surface > &	S1,
		const occ::handle< Geom_Surface > &	S2 )

Initializes this algorithm with the given arguments and computes the extrema distances between the surfaces <S1> and <S2>

◆ Init() [2/2]

void GeomAPI_ExtremaSurfaceSurface::Init	(	const occ::handle< Geom_Surface > &	S1,
		const occ::handle< Geom_Surface > &	S2,
		const double	U1min,
		const double	U1max,
		const double	V1min,
		const double	V1max,
		const double	U2min,
		const double	U2max,
		const double	V2min,
		const double	V2max )

Initializes this algorithm with the given arguments and computes the extrema distances between - the portion of the surface S1 limited by the two values of parameter (U1min,U1max) in the u parametric direction, and by the two values of parameter (V1min,V1max) in the v parametric direction, and.

the portion of the surface S2 limited by the two values of parameter (U2min,U2max) in the u parametric direction, and by the two values of parameter (V2min,V2max) in the v parametric direction.

◆ IsParallel()

bool GeomAPI_ExtremaSurfaceSurface::IsParallel ( ) const

inline

Returns True if the surfaces are parallel.

◆ LowerDistance()

double GeomAPI_ExtremaSurfaceSurface::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 GeomAPI_ExtremaSurfaceSurface::LowerDistanceParameters	(	double &	U1,
		double &	V1,
		double &	U2,
		double &	V2 ) const

Returns the parameters (U1,V1) of the point on the first surface and (U2,V2) of the point on the second surface, which are the ends of the shortest extremum computed by this algorithm. Exceptions - StdFail_NotDone if this algorithm fails.

◆ NbExtrema()

int GeomAPI_ExtremaSurfaceSurface::NbExtrema ( ) const

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

◆ NearestPoints()

void GeomAPI_ExtremaSurfaceSurface::NearestPoints	(	gp_Pnt &	P1,
		gp_Pnt &	P2 ) const

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

◆ operator double()

GeomAPI_ExtremaSurfaceSurface::operator double ( ) const

◆ operator int()

GeomAPI_ExtremaSurfaceSurface::operator int ( ) const

◆ Parameters()

void GeomAPI_ExtremaSurfaceSurface::Parameters	(	const int	Index,
		double &	U1,
		double &	V1,
		double &	U2,
		double &	V2 ) const

Returns the parameters (U1,V1) of the point on the first surface, and (U2,V2) of the point on the second surface, 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 GeomAPI_ExtremaSurfaceSurface::Points	(	const int	Index,
		gp_Pnt &	P1,
		gp_Pnt &	P2 ) const

Returns the points P1 on the first surface and P2 on the second surface, 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:

GeomAPI_ExtremaSurfaceSurface.hxx

Public Member Functions