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 <br> the point of parameter U on <me>. <br> me->UReversed()->Value(me->UReversedParameter(U),V) is the same point as me->Value(U,V) 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 <br> the point of parameter V on <me>. <br> me->VReversed()->Value(U,me->VReversedParameter(V)) is the same point as me->Value(U,V) More...

virtual void	TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const
	Computes the parameters on the transformed surface for <br> the transform of the point of parameters U,V on <me>. <br> 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->TranformParameters(U,V,T) This methods does not change <U> and <V> It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces. More...

virtual gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const
	Returns a 2d transformation used to find the new <br> parameters of a point on the transformed surface. <br> 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 th 2d transformation returned by me->ParametricTransformation(T) This methods returns an identity transformation It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces. 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. <br> 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 <br> 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 <br> 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 <br> parametric direction. Returns true if: More...

virtual Standard_Real	UPeriod () const
	Returns the period of this surface in the u <br> 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 <br> 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 : <br> 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. More...

virtual Standard_Boolean	IsCNu (const Standard_Integer N) const =0
	Returns the order of continuity of the surface in the <br> 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 <br> 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. <br> Raised only for an "OffsetSurface" if it is not possible to compute the current point. 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
	—Purpose ; 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. More...

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameter U on the surface. <br> It is implemented with D0 Raised only for an "OffsetSurface" if it is not possible to compute the current point. 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 tanslation. 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 MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. 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	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const 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 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...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

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

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. <br>

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, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_Plane, Geom_ToroidalSurface, GeomPlate_Surface, Geom_SurfaceOfLinearExtrusion, Geom_CylindricalSurface, and Geom_SphericalSurface.

virtual GeomAbs_Shape Geom_Surface::Continuity ( ) const

pure virtual

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

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.

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. <br>

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

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.

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.

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.

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, Geom_OffsetSurface, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

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, Geom_OffsetSurface, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

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

—Purpose ;
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, Geom_ConicalSurface, ShapeExtend_CompositeSurface, Geom_RectangularTrimmedSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_SphericalSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

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

pure virtual

Returns the order of continuity of the surface in the <br>

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.

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

pure virtual

Returns the order of continuity of the surface in the <br>

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.

virtual Standard_Boolean Geom_Surface::IsUClosed ( ) const

pure virtual

 Checks whether this surface is closed in the u <br>

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, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_ToroidalSurface, Geom_Plane, GeomPlate_Surface, Geom_SphericalSurface, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

virtual Standard_Boolean Geom_Surface::IsUPeriodic ( ) const

pure virtual

 Checks if this surface is periodic in the u <br>

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, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, Geom_OffsetSurface, Geom_ToroidalSurface, GeomPlate_Surface, Geom_Plane, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

virtual Standard_Boolean Geom_Surface::IsVClosed ( ) const

pure virtual

 Checks whether this surface is closed in the u <br>

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, Geom_SurfaceOfRevolution, ShapeExtend_CompositeSurface, Geom_ConicalSurface, Geom_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, Geom_Plane, GeomPlate_Surface, Geom_SphericalSurface, Geom_CylindricalSurface, and Geom_SurfaceOfLinearExtrusion.

virtual Standard_Boolean Geom_Surface::IsVPeriodic ( ) const

pure virtual

 Checks if this surface is periodic in the v <br>

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_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ConicalSurface, GeomPlate_Surface, Geom_ToroidalSurface, Geom_Plane, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

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

virtual

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

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
th 2d transformation returned by

me->ParametricTransformation(T)

This methods 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, GeomPlate_Surface, and Geom_CylindricalSurface.

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 <br>
     the transform of the point of parameters U,V on <me>. <br>

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->TranformParameters(U,V,T)

This methods 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, GeomPlate_Surface, and Geom_CylindricalSurface.

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_OffsetSurface, Geom_RectangularTrimmedSurface, Geom_ConicalSurface, Geom_ToroidalSurface, GeomPlate_Surface, Geom_Plane, Geom_SphericalSurface, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

virtual Standard_Real Geom_Surface::UPeriod ( ) const

virtual

 Returns the period of this surface in the u <br>

parametric direction.
//! raises if the surface is not uperiodic.

Reimplemented in Geom_RectangularTrimmedSurface, Geom_OffsetSurface, and GeomPlate_Surface.

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_RectangularTrimmedSurface, Geom_SurfaceOfRevolution, Geom_OffsetSurface, Geom_Plane, Geom_ElementarySurface, Geom_SurfaceOfLinearExtrusion, and GeomPlate_Surface.

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.

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

pure virtual

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

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_ElementarySurface, Geom_Plane, Geom_CylindricalSurface, and GeomPlate_Surface.

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

Computes the point of parameter U on the surface. <br>

It is implemented with D0
Raised only for an "OffsetSurface" if it is not possible to
compute the current point.

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_OffsetSurface, Geom_ConicalSurface, Geom_RectangularTrimmedSurface, Geom_ToroidalSurface, GeomPlate_Surface, Geom_SphericalSurface, Geom_Plane, Geom_SurfaceOfLinearExtrusion, and Geom_CylindricalSurface.

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.

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_OffsetSurface, Geom_ConicalSurface, Geom_SurfaceOfLinearExtrusion, Geom_Plane, Geom_ElementarySurface, and GeomPlate_Surface.

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.

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

pure virtual

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

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_OffsetSurface, Geom_ToroidalSurface, Geom_SurfaceOfLinearExtrusion, Geom_ConicalSurface, Geom_SphericalSurface, Geom_ElementarySurface, Geom_Plane, Geom_CylindricalSurface, and GeomPlate_Surface.

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

Geom_Surface.hxx

Public Member Functions

Detailed Description

Member Function Documentation