# Geom2dAPI_PointsToBSpline Class Reference

This class is used to approximate a BsplineCurve passing through an array of points, with a given Continuity. Describes functions for building a 2D BSpline curve which approximates a set of points. A PointsToBSpline object provides a framework for: More...

`#include <Geom2dAPI_PointsToBSpline.hxx>`

## Public Member Functions

Geom2dAPI_PointsToBSpline ()
Constructs an empty approximation algorithm. Use an Init function to define and build the BSpline curve. More...

Geom2dAPI_PointsToBSpline (const TColgp_Array1OfPnt2d &Points, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-6)
Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

Geom2dAPI_PointsToBSpline (const TColStd_Array1OfReal &YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-6)
Approximate a BSpline Curve passing through an array of Point. Of coordinates : More...

Geom2dAPI_PointsToBSpline (const TColgp_Array1OfPnt2d &Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

Geom2dAPI_PointsToBSpline (const TColgp_Array1OfPnt2d &Points, const TColStd_Array1OfReal &Parameters, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point, which parameters are given by the array <Parameters>. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

Geom2dAPI_PointsToBSpline (const TColgp_Array1OfPnt2d &Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point using variational smoothing algorithm, which tries to minimize additional criterium: Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion. More...

void Init (const TColgp_Array1OfPnt2d &Points, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-6)
Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

void Init (const TColStd_Array1OfReal &YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-6)
Approximate a BSpline Curve passing through an array of Point. Of coordinates : More...

void Init (const TColgp_Array1OfPnt2d &Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

void Init (const TColgp_Array1OfPnt2d &Points, const TColStd_Array1OfReal &Parameters, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point, which parameters are given by the array <Parameters>. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D. More...

void Init (const TColgp_Array1OfPnt2d &Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol2D=1.0e-3)
Approximate a BSpline Curve passing through an array of Point using variational smoothing algorithm, which tries to minimize additional criterium: Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion. More...

const Handle< Geom2d_BSplineCurve > & Curve () const
Returns the approximate BSpline Curve. More...

operator Handle< Geom2d_BSplineCurve > () const

Standard_Boolean IsDone () const

## Detailed Description

This class is used to approximate a BsplineCurve passing through an array of points, with a given Continuity. Describes functions for building a 2D BSpline curve which approximates a set of points. A PointsToBSpline object provides a framework for:

• defining the data of the BSpline curve to be built,
• implementing the approximation algorithm, and
• consulting the results

## Constructor & Destructor Documentation

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( )

Constructs an empty approximation algorithm. Use an Init function to define and build the BSpline curve.

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( const TColgp_Array1OfPnt2d & Points, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-6` )

Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( const TColStd_Array1OfReal & YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-6` )

Approximate a BSpline Curve passing through an array of Point. Of coordinates :

X = X0 + DX * (i-YValues.Lower()) Y = YValues(i)

With i in the range YValues.Lower(), YValues.Upper()

The BSpline will be parametrized from t = X0 to X0 + DX * (YValues.Upper() - YValues.Lower())

And will satisfy X(t) = t

The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( const TColgp_Array1OfPnt2d & Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( const TColgp_Array1OfPnt2d & Points, const TColStd_Array1OfReal & Parameters, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point, which parameters are given by the array <Parameters>. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline ( const TColgp_Array1OfPnt2d & Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol3D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point using variational smoothing algorithm, which tries to minimize additional criterium: Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.

## Member Function Documentation

 const Handle< Geom2d_BSplineCurve >& Geom2dAPI_PointsToBSpline::Curve ( ) const

Returns the approximate BSpline Curve.

 void Geom2dAPI_PointsToBSpline::Init ( const TColgp_Array1OfPnt2d & Points, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-6` )

Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 void Geom2dAPI_PointsToBSpline::Init ( const TColStd_Array1OfReal & YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-6` )

Approximate a BSpline Curve passing through an array of Point. Of coordinates :

X = X0 + DX * (i-YValues.Lower()) Y = YValues(i)

With i in the range YValues.Lower(), YValues.Upper()

The BSpline will be parametrized from t = X0 to X0 + DX * (YValues.Upper() - YValues.Lower())

And will satisfy X(t) = t

The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D

 void Geom2dAPI_PointsToBSpline::Init ( const TColgp_Array1OfPnt2d & Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 void Geom2dAPI_PointsToBSpline::Init ( const TColgp_Array1OfPnt2d & Points, const TColStd_Array1OfReal & Parameters, const Standard_Integer DegMin = `3`, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point, which parameters are given by the array <Parameters>. The resulting BSpline will have the following properties: 1- his degree will be in the range [Degmin,Degmax] 2- his continuity will be at least <Continuity> 3- the distance from the point <Points> to the BSpline will be lower to Tol2D.

 void Geom2dAPI_PointsToBSpline::Init ( const TColgp_Array1OfPnt2d & Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = `8`, const GeomAbs_Shape Continuity = `GeomAbs_C2`, const Standard_Real Tol2D = `1.0e-3` )

Approximate a BSpline Curve passing through an array of Point using variational smoothing algorithm, which tries to minimize additional criterium: Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.

 Standard_Boolean Geom2dAPI_PointsToBSpline::IsDone ( ) const
 Geom2dAPI_PointsToBSpline::operator Handle< Geom2d_BSplineCurve > ( ) const

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