This class is used to approximate or interpolate a BSplineSurface passing through an Array2 of points, with a given continuity. Describes functions for building a BSpline surface which approximates or interpolates a set of points. A PointsToBSplineSurface object provides a framework for: More...

#include <GeomAPI_PointsToBSplineSurface.hxx>

Public Member Functions
	GeomAPI_PointsToBSplineSurface ()
	Constructs an empty algorithm for approximation or interpolation of a surface. Use: More...

	GeomAPI_PointsToBSplineSurface (const TColgp_Array2OfPnt &Points, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface passing through an array of Points. 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 Tol3D. More...

	GeomAPI_PointsToBSplineSurface (const TColgp_Array2OfPnt &Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface passing through an array of Points. 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 Tol3D. More...

	GeomAPI_PointsToBSplineSurface (const TColgp_Array2OfPnt &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)
	Approximates a BSpline Surface passing through an array of points using variational smoothing algorithm, which tries to minimize additional criterium: Weight1CurveLength + Weight2Curvature + Weight3*Torsion. More...

	GeomAPI_PointsToBSplineSurface (const TColStd_Array2OfReal &ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface passing through an array of Points. More...

void	Init (const TColgp_Array2OfPnt &Points, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface 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 Tol3D. More...

void	Interpolate (const TColgp_Array2OfPnt &Points)
	Interpolates a BSpline Surface passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be 3. 2- his continuity will be C2. More...

void	Interpolate (const TColgp_Array2OfPnt &Points, const Approx_ParametrizationType ParType)
	Interpolates a BSpline Surface passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be 3. 2- his continuity will be C2. More...

void	Init (const TColStd_Array2OfReal &ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface passing through an array of Points. More...

void	Interpolate (const TColStd_Array2OfReal &ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY)
	Interpolates a BSpline Surface passing through an array of Points. More...

void	Init (const TColgp_Array2OfPnt &Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin=3, const Standard_Integer DegMax=8, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Real Tol3D=1.0e-3)
	Approximates a BSpline Surface 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 Tol3D. More...

void	Init (const TColgp_Array2OfPnt &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)
	Approximates a BSpline Surface passing through an array of point using variational smoothing algorithm, which tries to minimize additional criterium: Weight1CurveLength + Weight2Curvature + Weight3*Torsion. More...

const Handle< Geom_BSplineSurface > &	Surface () const
	Returns the approximate BSpline Surface. More...

	operator Handle< Geom_BSplineSurface > () const

Standard_Boolean	IsDone () const

Detailed Description

This class is used to approximate or interpolate a BSplineSurface passing through an Array2 of points, with a given continuity. Describes functions for building a BSpline surface which approximates or interpolates a set of points. A PointsToBSplineSurface object provides a framework for:

defining the data of the BSpline surface to be built,
implementing the approximation algorithm or the interpolation algorithm, and consulting the results.

Constructor & Destructor Documentation

◆ GeomAPI_PointsToBSplineSurface() [1/5]

GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface ( )

Constructs an empty algorithm for approximation or interpolation of a surface. Use:

an Init function to define and build the BSpline surface by approximation, or
an Interpolate function to define and build the BSpline surface by interpolation.

◆ GeomAPI_PointsToBSplineSurface() [2/5]

GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface	(	const TColgp_Array2OfPnt &	Points,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface passing through an array of Points. 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 Tol3D.

◆ GeomAPI_PointsToBSplineSurface() [3/5]

GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface	(	const TColgp_Array2OfPnt &	Points,
		const Approx_ParametrizationType	ParType,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface passing through an array of Points. 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 Tol3D.

◆ GeomAPI_PointsToBSplineSurface() [4/5]

GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface	(	const TColgp_Array2OfPnt &	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`
	)

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

◆ GeomAPI_PointsToBSplineSurface() [5/5]

GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface	(	const TColStd_Array2OfReal &	ZPoints,
		const Standard_Real	X0,
		const Standard_Real	dX,
		const Standard_Real	Y0,
		const Standard_Real	dY,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface passing through an array of Points.

The points will be constructed as follow: P(i,j) = gp_Pnt( X0 + (i-1)*dX , Y0 + (j-1)*dY , ZPoints(i,j) )

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 Tol3D 4- the parametrization of the surface will verify: S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );

Member Function Documentation

◆ Init() [1/4]

void GeomAPI_PointsToBSplineSurface::Init	(	const TColgp_Array2OfPnt &	Points,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface 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 Tol3D.

◆ Init() [2/4]

void GeomAPI_PointsToBSplineSurface::Init	(	const TColStd_Array2OfReal &	ZPoints,
		const Standard_Real	X0,
		const Standard_Real	dX,
		const Standard_Real	Y0,
		const Standard_Real	dY,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface passing through an array of Points.

The points will be constructed as follow: P(i,j) = gp_Pnt( X0 + (i-1)*dX , Y0 + (j-1)*dY , ZPoints(i,j) )

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 Tol3D 4- the parametrization of the surface will verify: S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );

◆ Init() [3/4]

void GeomAPI_PointsToBSplineSurface::Init	(	const TColgp_Array2OfPnt &	Points,
		const Approx_ParametrizationType	ParType,
		const Standard_Integer	DegMin = `3`,
		const Standard_Integer	DegMax = `8`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Real	Tol3D = `1.0e-3`
	)

Approximates a BSpline Surface 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 Tol3D.

◆ Init() [4/4]

void GeomAPI_PointsToBSplineSurface::Init	(	const TColgp_Array2OfPnt &	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`
	)

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

◆ Interpolate() [1/3]

void GeomAPI_PointsToBSplineSurface::Interpolate ( const TColgp_Array2OfPnt & Points )

Interpolates a BSpline Surface passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be 3. 2- his continuity will be C2.

◆ Interpolate() [2/3]

void GeomAPI_PointsToBSplineSurface::Interpolate	(	const TColgp_Array2OfPnt &	Points,
		const Approx_ParametrizationType	ParType
	)

Interpolates a BSpline Surface passing through an array of Point. The resulting BSpline will have the following properties: 1- his degree will be 3. 2- his continuity will be C2.

◆ Interpolate() [3/3]

void GeomAPI_PointsToBSplineSurface::Interpolate	(	const TColStd_Array2OfReal &	ZPoints,
		const Standard_Real	X0,
		const Standard_Real	dX,
		const Standard_Real	Y0,
		const Standard_Real	dY
	)

Interpolates a BSpline Surface passing through an array of Points.

The points will be constructed as follow: P(i,j) = gp_Pnt( X0 + (i-1)*dX , Y0 + (j-1)*dY , ZPoints(i,j) )

The resulting BSpline will have the following properties: 1- his degree will be 3 2- his continuity will be C2. 4- the parametrization of the surface will verify: S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );

◆ IsDone()

Standard_Boolean GeomAPI_PointsToBSplineSurface::IsDone ( ) const

◆ operator Handle< Geom_BSplineSurface >()

GeomAPI_PointsToBSplineSurface::operator Handle< Geom_BSplineSurface > ( ) const

◆ Surface()

const Handle< Geom_BSplineSurface >& GeomAPI_PointsToBSplineSurface::Surface ( ) const

Returns the approximate BSpline Surface.

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

GeomAPI_PointsToBSplineSurface.hxx

GeomAPI_PointsToBSplineSurface Class Reference

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ GeomAPI_PointsToBSplineSurface() [1/5]

◆ GeomAPI_PointsToBSplineSurface() [2/5]

◆ GeomAPI_PointsToBSplineSurface() [3/5]

◆ GeomAPI_PointsToBSplineSurface() [4/5]

◆ GeomAPI_PointsToBSplineSurface() [5/5]

Member Function Documentation

◆ Init() [1/4]

◆ Init() [2/4]

◆ Init() [3/4]

◆ Init() [4/4]

◆ Interpolate() [1/3]

◆ Interpolate() [2/3]

◆ Interpolate() [3/3]

◆ IsDone()

◆ operator Handle< Geom_BSplineSurface >()

◆ Surface()