Extrema_GenExtSS Class Reference

It calculates all the extremum distances between two surfaces. These distances can be minimum or maximum. More...

`#include <Extrema_GenExtSS.hxx>`

## Public Member Functions

Extrema_GenExtSS ()

Extrema_GenExtSS (const Adaptor3d_Surface &S1, const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol1, const Standard_Real Tol2)
It calculates all the distances. The function F(u,v)=distance(S1(u1,v1),S2(u2,v2)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points to find the zeros. More...

Extrema_GenExtSS (const Adaptor3d_Surface &S1, const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, const Standard_Real Tol1, const Standard_Real Tol2)
It calculates all the distances. The function F(u,v)=distance(P,S(u,v)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surface. NbU and NbV are used to locate the close points to find the zeros. More...

void Initialize (const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol2)

void Initialize (const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, const Standard_Real Tol2)

void Perform (const Adaptor3d_Surface &S1, const Standard_Real Tol1)
the algorithm is done with S1 An exception is raised if the fields have not been initialized. More...

void Perform (const Adaptor3d_Surface &S1, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real Tol1)
the algorithm is done withS1 An exception is raised if the fields have not been initialized. More...

Standard_Boolean IsDone () const
Returns True if the distances are found. More...

Standard_Integer NbExt () const
Returns the number of extremum distances. More...

Standard_Real SquareDistance (const Standard_Integer N) const
Returns the value of the Nth resulting square distance. More...

const Extrema_POnSurfPointOnS1 (const Standard_Integer N) const
Returns the point of the Nth resulting distance. More...

const Extrema_POnSurfPointOnS2 (const Standard_Integer N) const
Returns the point of the Nth resulting distance. More...

## Detailed Description

It calculates all the extremum distances between two surfaces. These distances can be minimum or maximum.

## Constructor & Destructor Documentation

 Extrema_GenExtSS::Extrema_GenExtSS ( )
 Extrema_GenExtSS::Extrema_GenExtSS ( const Adaptor3d_Surface & S1, const Adaptor3d_Surface & S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol1, const Standard_Real Tol2 )

It calculates all the distances. The function F(u,v)=distance(S1(u1,v1),S2(u2,v2)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points to find the zeros.

 Extrema_GenExtSS::Extrema_GenExtSS ( const Adaptor3d_Surface & S1, const Adaptor3d_Surface & S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, const Standard_Real Tol1, const Standard_Real Tol2 )

It calculates all the distances. The function F(u,v)=distance(P,S(u,v)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surface. NbU and NbV are used to locate the close points to find the zeros.

## Member Function Documentation

 void Extrema_GenExtSS::Initialize ( const Adaptor3d_Surface & S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol2 )
 void Extrema_GenExtSS::Initialize ( const Adaptor3d_Surface & S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, const Standard_Real Tol2 )
 Standard_Boolean Extrema_GenExtSS::IsDone ( ) const

Returns True if the distances are found.

 Standard_Integer Extrema_GenExtSS::NbExt ( ) const

Returns the number of extremum distances.

 void Extrema_GenExtSS::Perform ( const Adaptor3d_Surface & S1, const Standard_Real Tol1 )

the algorithm is done with S1 An exception is raised if the fields have not been initialized.

 void Extrema_GenExtSS::Perform ( const Adaptor3d_Surface & S1, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real Tol1 )

the algorithm is done withS1 An exception is raised if the fields have not been initialized.

 const Extrema_POnSurf& Extrema_GenExtSS::PointOnS1 ( const Standard_Integer N ) const

Returns the point of the Nth resulting distance.

 const Extrema_POnSurf& Extrema_GenExtSS::PointOnS2 ( const Standard_Integer N ) const

Returns the point of the Nth resulting distance.

 Standard_Real Extrema_GenExtSS::SquareDistance ( const Standard_Integer N ) const

Returns the value of the Nth resulting square distance.

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