Describes the common behavior of surfaces in 3D space. The Geom package provides many implementations of concrete derived surfaces, such as planes, cylinders, cones, spheres and tori, surfaces of linear extrusion, surfaces of revolution, Bezier and BSpline surfaces, and so on. The key characteristic of these surfaces is that they are parameterized. Geom_Surface demonstrates: More...

#include <Geom_Surface.hxx>

Inheritance diagram for Geom_Surface:

[legend]

Public Member Functions
virtual void	UReverse ()=0
	Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. More...

Handle< Geom_Surface >	UReversed () const
	Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

virtual Standard_Real	UReversedParameter (const Standard_Real U) const =0
	Returns the parameter on the Ureversed surface for the point of parameter U on <me>. More...

virtual void	VReverse ()=0
	Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. More...

Handle< Geom_Surface >	VReversed () const
	Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

virtual Standard_Real	VReversedParameter (const Standard_Real V) const =0
	Returns the parameter on the Vreversed surface for the point of parameter V on <me>. More...

virtual void	TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const
	Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. More...

virtual gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const
	Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...

virtual void	Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const =0
	Returns the parametric bounds U1, U2, V1 and V2 of this surface. If the surface is infinite, this function can return a value equal to Precision::Infinite: instead of Standard_Real::LastReal. More...

virtual Standard_Boolean	IsUClosed () const =0
	Checks whether this surface is closed in the u parametric direction. Returns true if, in the u parametric direction: taking uFirst and uLast as the parametric bounds in the u parametric direction, for each parameter v, the distance between the points P(uFirst, v) and P(uLast, v) is less than or equal to gp::Resolution(). More...

virtual Standard_Boolean	IsVClosed () const =0
	Checks whether this surface is closed in the u parametric direction. Returns true if, in the v parametric direction: taking vFirst and vLast as the parametric bounds in the v parametric direction, for each parameter u, the distance between the points P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution(). More...

virtual Standard_Boolean	IsUPeriodic () const =0
	Checks if this surface is periodic in the u parametric direction. Returns true if: More...

virtual Standard_Real	UPeriod () const
	Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic. More...

virtual Standard_Boolean	IsVPeriodic () const =0
	Checks if this surface is periodic in the v parametric direction. Returns true if: More...

virtual Standard_Real	VPeriod () const
	Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic. More...

virtual Handle< Geom_Curve >	UIso (const Standard_Real U) const =0
	Computes the U isoparametric curve. More...

virtual Handle< Geom_Curve >	VIso (const Standard_Real V) const =0
	Computes the V isoparametric curve. More...

virtual GeomAbs_Shape	Continuity () const =0
	Returns the Global Continuity of the surface in direction U and V : More...

virtual Standard_Boolean	IsCNu (const Standard_Integer N) const =0
	Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0. More...

virtual Standard_Boolean	IsCNv (const Standard_Integer N) const =0
	Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0. More...

virtual void	D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const =0
	Computes the point of parameter U,V on the surface. More...

virtual void	D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const =0
	Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1. More...

virtual void	D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const =0
	Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...

virtual void	D3 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D3U, gp_Vec &D3V, gp_Vec &D3UUV, gp_Vec &D3UVV) const =0
	Computes the point P, the first,the second and the third derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...

virtual gp_Vec	DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const =0
	Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). More...

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameter (U, V) on the surface. More...

virtual void	DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override
	Dumps the content of me into the stream. More...

Public Member Functions inherited from Geom_Geometry
void	Mirror (const gp_Pnt &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...

void	Mirror (const gp_Ax1 &A1)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...

void	Mirror (const gp_Ax2 &A2)
	Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...

void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value. More...

void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the translation. More...

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2. More...

virtual void	Transform (const gp_Trsf &T)=0
	Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom). More...

Handle< Geom_Geometry >	Mirrored (const gp_Pnt &P) const

Handle< Geom_Geometry >	Mirrored (const gp_Ax1 &A1) const

Handle< Geom_Geometry >	Mirrored (const gp_Ax2 &A2) const

Handle< Geom_Geometry >	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle< Geom_Geometry >	Scaled (const gp_Pnt &P, const Standard_Real S) const

Handle< Geom_Geometry >	Transformed (const gp_Trsf &T) const

Handle< Geom_Geometry >	Translated (const gp_Vec &V) const

Handle< Geom_Geometry >	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const

virtual Handle< Geom_Geometry >	Copy () const =0
	Creates a new object which is a copy of this geometric object. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	Delete () const
	Memory deallocator for transient classes. More...

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object. More...

Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const opencascade::handle< Standard_Type > &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Transient *	This () const
	Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

void	IncrementRefCounter () const
	Increments the reference counter of this object. More...

Standard_Integer	DecrementRefCounter () const
	Decrements the reference counter of this object; returns the decremented value. More...

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object. More...

Static Public Member Functions inherited from Standard_Transient
static const char *	get_type_name ()
	Returns a type descriptor about this object. More...

static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class. More...

Detailed Description

Describes the common behavior of surfaces in 3D space. The Geom package provides many implementations of concrete derived surfaces, such as planes, cylinders, cones, spheres and tori, surfaces of linear extrusion, surfaces of revolution, Bezier and BSpline surfaces, and so on. The key characteristic of these surfaces is that they are parameterized. Geom_Surface demonstrates:

how to work with the parametric equation of a surface to compute the point of parameters (u, v), and, at this point, the 1st, 2nd ... Nth derivative;
how to find global information about a surface in each parametric direction (for example, level of continuity, whether the surface is closed, its periodicity, the bounds of the parameters and so on);
how the parameters change when geometric transformations are applied to the surface, or the orientation is modified.

Note that all surfaces must have a geometric continuity, and any surface is at least "C0". Generally, continuity is checked at construction time or when the curve is edited. Where this is not the case, the documentation makes this explicit.

Warning The Geom package does not prevent the construction of surfaces with null areas, or surfaces which self-intersect.

Member Function Documentation

◆ Bounds()

virtual void Geom_Surface::Bounds	(	Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	V1,
		Standard_Real &	V2
	)		const

pure virtual

Returns the parametric bounds U1, U2, V1 and V2 of this surface. If the surface is infinite, this function can return a value equal to Precision::Infinite: instead of Standard_Real::LastReal.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, Geom_Plane, Geom_ToroidalSurface, Geom_OffsetSurface, Geom_CylindricalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SphericalSurface, and GeomPlate_Surface.

◆ Continuity()

virtual GeomAbs_Shape Geom_Surface::Continuity ( ) const

pure virtual

Returns the Global Continuity of the surface in direction U and V :

C0: only geometric continuity,
C1: continuity of the first derivative all along the surface,
C2: continuity of the second derivative all along the surface,
C3: continuity of the third derivative all along the surface,
G1: tangency continuity all along the surface,
G2: curvature continuity all along the surface,
CN: the order of continuity is infinite.

Example: If the surface is C1 in the V parametric direction and C2 in the U parametric direction Shape = C1.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, GeomPlate_Surface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_ElementarySurface, and Geom_SweptSurface.

◆ D0()

virtual void Geom_Surface::D0	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P
	)		const

pure virtual

Computes the point of parameter U,V on the surface.

Raised only for an "OffsetSurface" if it is not possible to compute the current point.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_OffsetSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_Plane, Geom_SphericalSurface, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ D1()

virtual void Geom_Surface::D1	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V
	)		const

pure virtual

Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1.

Tip: use GeomLib::NormEstim() to calculate surface normal at specified (U, V) point.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_OffsetSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ D2()

virtual void Geom_Surface::D2	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V,
		gp_Vec &	D2U,
		gp_Vec &	D2V,
		gp_Vec &	D2UV
	)		const

pure virtual

Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_OffsetSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ D3()

virtual void Geom_Surface::D3	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V,
		gp_Vec &	D2U,
		gp_Vec &	D2V,
		gp_Vec &	D2UV,
		gp_Vec &	D3U,
		gp_Vec &	D3V,
		gp_Vec &	D3UUV,
		gp_Vec &	D3UVV
	)		const

pure virtual

Computes the point P, the first,the second and the third derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_OffsetSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ DN()

virtual gp_Vec Geom_Surface::DN	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	Nu,
		const Standard_Integer	Nv
	)		const

pure virtual

Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V).

Raised if the continuity of the surface is not CNu in the U direction or not CNv in the V direction. Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, Geom_OffsetSurface, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

◆ DumpJson()

virtual void Geom_Surface::DumpJson	(	Standard_OStream &	theOStream,
		Standard_Integer	theDepth = `-1`
	)		const

overridevirtual

Dumps the content of me into the stream.

Reimplemented from Geom_Geometry.

Reimplemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_OffsetSurface, Geom_SurfaceOfRevolution, Geom_RectangularTrimmedSurface, Geom_ConicalSurface, Geom_SurfaceOfLinearExtrusion, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_CylindricalSurface, Geom_ElementarySurface, and Geom_SweptSurface.

◆ IsCNu()

virtual Standard_Boolean Geom_Surface::IsCNu ( const Standard_Integer N ) const

pure virtual

Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, GeomPlate_Surface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_SurfaceOfLinearExtrusion, and Geom_ElementarySurface.

◆ IsCNv()

virtual Standard_Boolean Geom_Surface::IsCNv ( const Standard_Integer N ) const

pure virtual

Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, GeomPlate_Surface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_SurfaceOfLinearExtrusion, and Geom_ElementarySurface.

◆ IsUClosed()

virtual Standard_Boolean Geom_Surface::IsUClosed ( ) const

pure virtual

Checks whether this surface is closed in the u parametric direction. Returns true if, in the u parametric direction: taking uFirst and uLast as the parametric bounds in the u parametric direction, for each parameter v, the distance between the points P(uFirst, v) and P(uLast, v) is less than or equal to gp::Resolution().

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, Geom_CylindricalSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, and GeomPlate_Surface.

◆ IsUPeriodic()

virtual Standard_Boolean Geom_Surface::IsUPeriodic ( ) const

pure virtual

Checks if this surface is periodic in the u parametric direction. Returns true if:

this surface is closed in the u parametric direction, and
there is a constant T such that the distance between the points P (u, v) and P (u + T, v) (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution().

Note: T is the parametric period in the u parametric direction.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, Geom_CylindricalSurface, Geom_SphericalSurface, GeomPlate_Surface, and Geom_SurfaceOfLinearExtrusion.

◆ IsVClosed()

virtual Standard_Boolean Geom_Surface::IsVClosed ( ) const

pure virtual

Checks whether this surface is closed in the u parametric direction. Returns true if, in the v parametric direction: taking vFirst and vLast as the parametric bounds in the v parametric direction, for each parameter u, the distance between the points P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution().

Implemented in Geom_BSplineSurface, Geom_BezierSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, Geom_CylindricalSurface, Geom_SphericalSurface, GeomPlate_Surface, and Geom_SurfaceOfLinearExtrusion.

◆ IsVPeriodic()

virtual Standard_Boolean Geom_Surface::IsVPeriodic ( ) const

pure virtual

Checks if this surface is periodic in the v parametric direction. Returns true if:

this surface is closed in the v parametric direction, and
there is a constant T such that the distance between the points P (u, v) and P (u + T, v) (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution().

Note: T is the parametric period in the v parametric direction.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, GeomPlate_Surface, Geom_CylindricalSurface, Geom_SphericalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ ParametricTransformation()

virtual gp_GTrsf2d Geom_Surface::ParametricTransformation ( const gp_Trsf & T ) const

virtual

Returns a 2d transformation used to find the new parameters of a point on the transformed surface.

me->Transformed(T)->Value(U',V')

is the same point as

me->Value(U,V).Transformed(T)

Where U',V' are obtained by transforming U,V with the 2d transformation returned by

me->ParametricTransformation(T)

This method returns an identity transformation

It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces.

Reimplemented in Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_Plane, Geom_CylindricalSurface, and GeomPlate_Surface.

◆ TransformParameters()

virtual void Geom_Surface::TransformParameters	(	Standard_Real &	U,
		Standard_Real &	V,
		const gp_Trsf &	T
	)		const

virtual

Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>.

me->Transformed(T)->Value(U',V')

is the same point as

me->Value(U,V).Transformed(T)

Where U',V' are the new values of U,V after calling

me->TransformParameters(U,V,T)

This method does not change <U> and <V>

It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces.

Reimplemented in Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ConicalSurface, Geom_Plane, Geom_CylindricalSurface, and GeomPlate_Surface.

◆ UIso()

virtual Handle< Geom_Curve > Geom_Surface::UIso ( const Standard_Real U ) const

pure virtual

Computes the U isoparametric curve.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, GeomPlate_Surface, Geom_CylindricalSurface, Geom_SphericalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ UPeriod()

virtual Standard_Real Geom_Surface::UPeriod ( ) const

virtual

Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic.

Reimplemented in Geom_OffsetSurface, Geom_RectangularTrimmedSurface, and GeomPlate_Surface.

◆ UReverse()

virtual void Geom_Surface::UReverse ( )

pure virtual

Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, Geom_ElementarySurface, and GeomPlate_Surface.

◆ UReversed()

Handle< Geom_Surface > Geom_Surface::UReversed ( ) const

Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned.

◆ UReversedParameter()

virtual Standard_Real Geom_Surface::UReversedParameter ( const Standard_Real U ) const

pure virtual

Returns the parameter on the Ureversed surface for the point of parameter U on <me>.

me->UReversed()->Value(me->UReversedParameter(U),V)

is the same point as

me->Value(U,V)

Implemented in Geom_BezierSurface, Geom_BSplineSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_OffsetSurface, Geom_ConicalSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_Plane, Geom_CylindricalSurface, Geom_ElementarySurface, and GeomPlate_Surface.

◆ Value()

gp_Pnt Geom_Surface::Value	(	const Standard_Real	U,
		const Standard_Real	V
	)		const

Computes the point of parameter (U, V) on the surface.

It is implemented with D0. Tip: use GeomLib::NormEstim() to calculate surface normal at specified (U, V) point.

Raised only for an "OffsetSurface" if it is not possible to compute the current point.

◆ VIso()

virtual Handle< Geom_Curve > Geom_Surface::VIso ( const Standard_Real V ) const

pure virtual

Computes the V isoparametric curve.

Implemented in Geom_BSplineSurface, Geom_BezierSurface, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, Geom_SphericalSurface, GeomPlate_Surface, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

◆ VPeriod()

virtual Standard_Real Geom_Surface::VPeriod ( ) const

virtual

Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic.

Reimplemented in Geom_OffsetSurface, Geom_RectangularTrimmedSurface, and GeomPlate_Surface.

◆ VReverse()

virtual void Geom_Surface::VReverse ( )

pure virtual

Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_RectangularTrimmedSurface, Geom_ConicalSurface, Geom_OffsetSurface, Geom_SurfaceOfLinearExtrusion, Geom_Plane, Geom_ElementarySurface, and GeomPlate_Surface.

◆ VReversed()

Handle< Geom_Surface > Geom_Surface::VReversed ( ) const

Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned.

◆ VReversedParameter()

virtual Standard_Real Geom_Surface::VReversedParameter ( const Standard_Real V ) const

pure virtual

Returns the parameter on the Vreversed surface for the point of parameter V on <me>.

me->VReversed()->Value(U,me->VReversedParameter(V))

is the same point as

me->Value(U,V)

Implemented in Geom_BezierSurface, Geom_BSplineSurface, ShapeExtend_CompositeSurface, Geom_SurfaceOfRevolution, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_OffsetSurface, Geom_ConicalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SphericalSurface, Geom_Plane, Geom_ElementarySurface, Geom_CylindricalSurface, and GeomPlate_Surface.

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

Geom_Surface.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ Bounds()

◆ Continuity()

◆ D0()

◆ D1()

◆ D2()

◆ D3()

◆ DN()

◆ DumpJson()

◆ IsCNu()

◆ IsCNv()

◆ IsUClosed()

◆ IsUPeriodic()

◆ IsVClosed()

◆ IsVPeriodic()

◆ ParametricTransformation()

◆ TransformParameters()

◆ UIso()

◆ UPeriod()

◆ UReverse()

◆ UReversed()

◆ UReversedParameter()

◆ Value()

◆ VIso()

◆ VPeriod()

◆ VReverse()

◆ VReversed()

◆ VReversedParameter()