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 <br> 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 <br> array of Points. <br> 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) ); 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 <br> array of Points. <br> 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) ); 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 <br> array of Points. <br> 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) ); 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::GeomAPI_PointsToBSplineSurface ( )

 Constructs an empty algorithm for <br>

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::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::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::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::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 <br>
     array of  Points. <br>

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

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

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 <br>
     array of  Points. <br>

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) );

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

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

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.

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.

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 <br>
     array of  Points. <br>

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) );

Standard_Boolean GeomAPI_PointsToBSplineSurface::IsDone ( ) const

GeomAPI_PointsToBSplineSurface::operator Handle< Geom_BSplineSurface > ( ) const

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

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation