Geom_Surface Class Reference

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:

Data Structures
struct	ResD1
	Result of D1 evaluation: point and partial first derivatives. More...
struct	ResD2
	Result of D2 evaluation: point and partial derivatives up to 2nd order. More...
struct	ResD3
	Result of D3 evaluation: point and partial derivatives up to 3rd order. More...

Public Member Functions
virtual void	UReverse ()=0
	Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified.
occ::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.
virtual double	UReversedParameter (const double U) const =0
	Returns the parameter on the Ureversed surface for the point of parameter U on <me>.
virtual void	VReverse ()=0
	Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified.
occ::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.
virtual double	VReversedParameter (const double V) const =0
	Returns the parameter on the Vreversed surface for the point of parameter V on <me>.
virtual void	TransformParameters (double &U, double &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>.
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.
virtual void	Bounds (double &U1, double &U2, double &V1, double &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 double::LastReal.
virtual bool	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().
virtual bool	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().
virtual bool	IsUPeriodic () const =0
	Checks if this surface is periodic in the u parametric direction. Returns true if:
virtual double	UPeriod () const
	Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic.
virtual bool	IsVPeriodic () const =0
	Checks if this surface is periodic in the v parametric direction. Returns true if:
virtual double	VPeriod () const
	Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic.
virtual occ::handle< Geom_Curve >	UIso (const double U) const =0
	Computes the U isoparametric curve.
virtual occ::handle< Geom_Curve >	VIso (const double V) const =0
	Computes the V isoparametric curve.
virtual GeomAbs_Shape	Continuity () const =0
	Returns the Global Continuity of the surface in direction U and V :
virtual bool	IsCNu (const int N) const =0
	Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0.
virtual bool	IsCNv (const int N) const =0
	Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0.
virtual gp_Pnt	EvalD0 (const double U, const double V) const =0
	Computes the point of parameter (U, V) on the surface. Raises an exception on failure.
virtual ResD1	EvalD1 (const double U, const double V) const =0
	Computes the point and first partial derivatives at (U, V). Raises an exception if the surface continuity is not C1.
virtual ResD2	EvalD2 (const double U, const double V) const =0
	Computes the point and partial derivatives up to 2nd order at (U, V). Raises an exception if the surface continuity is not C2.
virtual ResD3	EvalD3 (const double U, const double V) const =0
	Computes the point and partial derivatives up to 3rd order at (U, V). Raises an exception if the surface continuity is not C3.
virtual gp_Vec	EvalDN (const double U, const double V, const int Nu, const int Nv) const =0
	Computes the derivative of order Nu in U and Nv in V at the point (U, V). Raises an exception on failure.
void	D0 (const double U, const double V, gp_Pnt &P) const
	Computes the point of parameter (U, V).
void	D1 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
	Computes the point and first partial derivatives.
void	D2 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const
	Computes the point and partial derivatives up to 2nd order.
void	D3 (const double U, const double 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
	Computes the point and partial derivatives up to 3rd order.
gp_Vec	DN (const double U, const double V, const int Nu, const int Nv) const
	Computes the derivative of order Nu in U and Nv in V.
gp_Pnt	Value (const double U, const double V) const
	Computes the point of parameter (U, V) on the surface.
void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const override
	Dumps the content of me into the stream.
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.
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.
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).
void	Rotate (const gp_Ax1 &A1, const double Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.
void	Scale (const gp_Pnt &P, const double S)
	Scales a Geometry. S is the scaling value.
void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the translation.
void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2.
virtual void	Transform (const gp_Trsf &T)=0
	Transformation of a geometric object. This transformation 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).
occ::handle< Geom_Geometry >	Mirrored (const gp_Pnt &P) const
occ::handle< Geom_Geometry >	Mirrored (const gp_Ax1 &A1) const
occ::handle< Geom_Geometry >	Mirrored (const gp_Ax2 &A2) const
occ::handle< Geom_Geometry >	Rotated (const gp_Ax1 &A1, const double Ang) const
occ::handle< Geom_Geometry >	Scaled (const gp_Pnt &P, const double S) const
occ::handle< Geom_Geometry >	Transformed (const gp_Trsf &T) const
occ::handle< Geom_Geometry >	Translated (const gp_Vec &V) const
occ::handle< Geom_Geometry >	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const
virtual occ::handle< Geom_Geometry >	Copy () const =0
	Creates a new object which is a copy of this geometric object.
Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor.
	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing.
Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter.
virtual	~Standard_Transient ()=default
	Destructor must be virtual.
virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.
bool	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.
bool	IsInstance (const char *const theTypeName) const
	Returns a true value if this is an instance of TypeName.
bool	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.
bool	IsKind (const char *const 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.
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.
int	GetRefCount () const noexcept
	Get the reference counter of this object.
void	IncrementRefCounter () noexcept
	Increments the reference counter of this object. Uses relaxed memory ordering since incrementing only requires atomicity, not synchronization with other memory operations.
int	DecrementRefCounter () noexcept
	Decrements the reference counter of this object; returns the decremented value. Uses release ordering for the decrement to ensure all writes to the object are visible before the count reaches zero. An acquire fence is added only when the count reaches zero, ensuring proper synchronization before deletion. This is more efficient than using acq_rel for every decrement.
virtual void	Delete () const
	Memory deallocator for transient classes.

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.
Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.
static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class.

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 ( double & U1, double & U2, double & V1, double & 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 double::LastReal.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

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_BezierSurface, Geom_BSplineSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, GeomEval_AHTBezierSurface, GeomEval_TBezierSurface, GeomPlate_Surface, ShapeExtend_CompositeSurface, Geom_ElementarySurface, and Geom_SweptSurface.

D0()

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

inline

Computes the point of parameter (U, V).

D1()

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

inline

Computes the point and first partial derivatives.

D2()

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

inline

Computes the point and partial derivatives up to 2nd order.

D3()

void Geom_Surface::D3 ( const double U, const double 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

inline

Computes the point and partial derivatives up to 3rd order.

DN()

gp_Vec Geom_Surface::DN ( const double U, const double V, const int Nu, const int Nv ) const

inline

Computes the derivative of order Nu in U and Nv in V.

DumpJson()

void Geom_Surface::DumpJson ( Standard_OStream & theOStream, int theDepth = -1 ) const

overridevirtual

Dumps the content of me into the stream.

Reimplemented from Geom_Geometry.

Reimplemented in Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, and Geom_SweptSurface.

EvalD0()

virtual gp_Pnt Geom_Surface::EvalD0 ( const double U, const double V ) const

pure virtual

Computes the point of parameter (U, V) on the surface. Raises an exception on failure.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

EvalD1()

virtual ResD1 Geom_Surface::EvalD1 ( const double U, const double V ) const

pure virtual

Computes the point and first partial derivatives at (U, V). Raises an exception if the surface continuity is not C1.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

EvalD2()

virtual ResD2 Geom_Surface::EvalD2 ( const double U, const double V ) const

pure virtual

Computes the point and partial derivatives up to 2nd order at (U, V). Raises an exception if the surface continuity is not C2.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

EvalD3()

virtual ResD3 Geom_Surface::EvalD3 ( const double U, const double V ) const

pure virtual

Computes the point and partial derivatives up to 3rd order at (U, V). Raises an exception if the surface continuity is not C3.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

EvalDN()

virtual gp_Vec Geom_Surface::EvalDN ( const double U, const double V, const int Nu, const int Nv ) const

pure virtual

Computes the derivative of order Nu in U and Nv in V at the point (U, V). Raises an exception on failure.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

IsCNu()

virtual bool Geom_Surface::IsCNu ( const int N ) const

pure virtual

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

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

IsCNv()

virtual bool Geom_Surface::IsCNv ( const int N ) const

pure virtual

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

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

IsUClosed()

virtual bool 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_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

IsUPeriodic()

virtual bool 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_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

IsVClosed()

virtual bool 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_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

IsVPeriodic()

virtual bool 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_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

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_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, and GeomPlate_Surface.

TransformParameters()

virtual void Geom_Surface::TransformParameters ( double & U, double & 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 and <V>

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

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

UIso()

virtual occ::handle< Geom_Curve > Geom_Surface::UIso ( const double U ) const

pure virtual

Computes the U isoparametric curve.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

UPeriod()

virtual double 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, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, ShapeExtend_CompositeSurface, and Geom_ElementarySurface.

UReversed()

occ::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 double Geom_Surface::UReversedParameter ( const double 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, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, ShapeExtend_CompositeSurface, and Geom_ElementarySurface.

Value()

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

inline

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

VIso()

virtual occ::handle< Geom_Curve > Geom_Surface::VIso ( const double V ) const

pure virtual

Computes the V isoparametric curve.

Implemented in Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, Geom_ToroidalSurface, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, and ShapeExtend_CompositeSurface.

VPeriod()

virtual double 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, Geom_ConicalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, ShapeExtend_CompositeSurface, and Geom_ElementarySurface.

VReversed()

occ::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 double Geom_Surface::VReversedParameter ( const double 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_ToroidalSurface, Geom_BezierSurface, Geom_BSplineSurface, Geom_ConicalSurface, Geom_CylindricalSurface, Geom_OffsetSurface, Geom_Plane, Geom_RectangularTrimmedSurface, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, Geom_SurfaceOfRevolution, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_EllipsoidSurface, GeomEval_HyperboloidSurface, GeomEval_HypParaboloidSurface, GeomEval_ParaboloidSurface, GeomEval_TBezierSurface, GeomPlate_Surface, ShapeExtend_CompositeSurface, and Geom_ElementarySurface.

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

• Geom_Surface.hxx