Open CASCADE Technology
7.7.0

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=1.0e6)  
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=1.0e6)  
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=1.0e3)  
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=1.0e3)  
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=1.0e3)  
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=1.0e6) 
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=1.0e6) 
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=1.0e3) 
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=1.0e3) 
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=1.0e3) 
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 
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:
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 = 1.0e6 

) 
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 = 1.0e6 

) 
Approximate a BSpline Curve passing through an array of Point. Of coordinates :
X = X0 + DX * (iYValues.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 = 1.0e3 

) 
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 = 1.0e3 

) 
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 = 1.0e3 

) 
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.
const Handle< Geom2d_BSplineCurve >& Geom2dAPI_PointsToBSpline::Curve  (  )  const 
Returns the approximate BSpline Curve.
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 = 1.0e3 

) 
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 Standard_Integer  DegMin = 3 , 

const Standard_Integer  DegMax = 8 , 

const GeomAbs_Shape  Continuity = GeomAbs_C2 , 

const Standard_Real  Tol2D = 1.0e6 

) 
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 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 = 1.0e3 

) 
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.
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 = 1.0e3 

) 
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 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 = 1.0e6 

) 
Approximate a BSpline Curve passing through an array of Point. Of coordinates :
X = X0 + DX * (iYValues.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
Standard_Boolean Geom2dAPI_PointsToBSpline::IsDone  (  )  const 
Geom2dAPI_PointsToBSpline::operator Handle< Geom2d_BSplineCurve >  (  )  const 