Geom_OffsetSurface Class Reference

Describes an offset surface in 3D space. An offset surface is defined by: More...

#include <Geom_OffsetSurface.hxx>

Inheritance diagram for Geom_OffsetSurface:

Public Member Functions
	Geom_OffsetSurface (const occ::handle< Geom_Surface > &S, const double Offset, const bool isNotCheckC0=false)
	Constructs a surface offset from the basis surface S, where Offset is the distance between the offset surface and the basis surface at any point. A point on the offset surface is built by measuring the offset value along a normal vector at a point on S. This normal vector is given by the cross product D1u^D1v, where D1u and D1v are the vectors tangential to the basis surface in the u and v parametric directions at this point. The side of S on which the offset value is measured is indicated by this normal vector if Offset is positive, or is the inverse sense if Offset is negative. If isNotCheckC0 = TRUE checking if basis surface has C0-continuity is not made. Warnings :
bool	HasEvalRepresentation () const
	Returns true if an evaluation representation is attached.
const occ::handle< GeomEval_RepSurfaceDesc::Base > &	EvalRepresentation () const
	Returns the current evaluation representation descriptor (may be null).
void	SetEvalRepresentation (const occ::handle< GeomEval_RepSurfaceDesc::Base > &theDesc)
	Sets a new evaluation representation. Validates descriptor data and ensures no circular references.
void	ClearEvalRepresentation ()
	Removes the evaluation representation.
void	SetBasisSurface (const occ::handle< Geom_Surface > &S, const bool isNotCheckC0=false)
	Raised if S is not at least C1. Warnings : No check is done to verify that a unique normal direction is defined at any point of the basis surface S. If isNotCheckC0 = TRUE checking if basis surface has C0-continuity is not made. Exceptions Standard_ConstructionError if the surface S is not at least "C1" continuous.
	Geom_OffsetSurface (const Geom_OffsetSurface &theOther)
	Copy constructor for optimized copying without validation.
	~Geom_OffsetSurface () override
	Destructor.
void	SetOffsetValue (const double D)
	Changes this offset surface by assigning D as the offset value.
double	Offset () const
	Returns the offset value of this offset surface.
const occ::handle< Geom_Surface > &	BasisSurface () const
	Returns the basis surface of this offset surface. Note: The basis surface can be an offset surface.
void	UReverse () final
	Changes the orientation of this offset surface in the u parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed.
double	UReversedParameter (const double U) const final
	Computes the u parameter on the modified surface, produced by reversing the u parametric direction of this offset surface, for any point of u parameter U on this offset surface.
void	VReverse () final
	Changes the orientation of this offset surface in the v parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed.
double	VReversedParameter (const double V) const final
	Computes the v parameter on the modified surface, produced by reversing the or v parametric direction of this offset surface, for any point of v parameter V on this offset surface.
void	Bounds (double &U1, double &U2, double &V1, double &V2) const final
	Returns the parametric bounds U1, U2, V1 and V2 of this offset surface. If the surface is infinite, this function can return:
GeomAbs_Shape	Continuity () const final
	This method returns the continuity of the basis surface - 1. Continuity of the Offset surface : 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, CN : the order of continuity is infinite. Example : If the basis surface is C2 in the V direction and C3 in the U direction Shape = C1. Warnings : If the basis surface has a unique normal direction defined at any point this method gives the continuity of the offset surface otherwise the effective continuity can be lower than the continuity of the basis surface - 1.
bool	IsCNu (const int N) const final
	This method answer True if the continuity of the basis surface is N + 1 in the U parametric direction. We suppose in this class that a unique normal is defined at any point on the basis surface. Raised if N <0.
bool	IsCNv (const int N) const final
	This method answer True if the continuity of the basis surface is N + 1 in the V parametric direction. We suppose in this class that a unique normal is defined at any point on the basis surface. Raised if N <0.
bool	IsUClosed () const final
	Checks whether this offset surface is closed in the u parametric direction. Returns true if, taking uFirst and uLast as the parametric bounds in the u parametric direction, the distance between the points P(uFirst,v) and P(uLast,v) is less than or equal to gp::Resolution() for each value of the parameter v.
bool	IsVClosed () const final
	Checks whether this offset surface is closed in the u or v parametric direction. Returns true if taking vFirst and vLast as the parametric bounds in the v parametric direction, the distance between the points P(u,vFirst) and P(u,vLast) is less than or equal to gp::Resolution() for each value of the parameter u.
bool	IsUPeriodic () const final
	Returns true if this offset surface is periodic in the u parametric direction, i.e. if the basis surface of this offset surface is periodic in this direction.
double	UPeriod () const final
	Returns the period of this offset surface in the u parametric direction respectively, i.e. the period of the basis surface of this offset surface in this parametric direction. raises if the surface is not uperiodic.
bool	IsVPeriodic () const final
	Returns true if this offset surface is periodic in the v parametric direction, i.e. if the basis surface of this offset surface is periodic in this direction.
double	VPeriod () const final
	Returns the period of this offset surface in the v parametric direction respectively, i.e. the period of the basis surface of this offset surface in this parametric direction. raises if the surface is not vperiodic.
occ::handle< Geom_Curve >	UIso (const double U) const final
	Computes the U isoparametric curve.
occ::handle< Geom_Curve >	VIso (const double V) const final
	Computes the V isoparametric curve.
gp_Pnt	EvalD0 (const double U, const double V) const final
Geom_Surface::ResD1	EvalD1 (const double U, const double V) const final
	Computes the point and first partial derivatives at (U, V). Raises an exception if the continuity of the basis surface is not C2.
Geom_Surface::ResD2	EvalD2 (const double U, const double V) const final
	Computes the point and partial derivatives up to 2nd order at (U, V). Raises an exception if the continuity of the basis surface is not C3.
Geom_Surface::ResD3	EvalD3 (const double U, const double V) const final
	Computes the point and partial derivatives up to 3rd order at (U, V). Raises an exception if the continuity of the basis surface is not C4.
gp_Vec	EvalDN (const double U, const double V, const int Nu, const int Nv) const final
	Computes the derivative of order Nu in U and Nv in V at (U, V). Raises an exception on failure.
void	Transform (const gp_Trsf &T) final
	Applies the transformation T to this offset surface. Note: the basis surface is also modified.
void	TransformParameters (double &U, double &V, const gp_Trsf &T) const final
	Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>.
gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const final
	Returns a 2d transformation used to find the new parameters of a point on the transformed surface.
occ::handle< Geom_Geometry >	Copy () const final
	Creates a new object which is a copy of this offset surface.
occ::handle< Geom_Surface >	Surface () const
	returns an equivalent surface of the offset surface when the basis surface is a canonic surface or a rectangular limited surface on canonic surface or if the offset is null.
bool	UOsculatingSurface (const double U, const double V, bool &IsOpposite, occ::handle< Geom_BSplineSurface > &UOsculSurf) const
	if true, L is the local osculating surface along U at the point U,V. It means that DL/DU is collinear to DS/DU. If IsOpposite == true these vectors have opposite direction.
bool	VOsculatingSurface (const double U, const double V, bool &IsOpposite, occ::handle< Geom_BSplineSurface > &VOsculSurf) const
	if true, L is the local osculating surface along V at the point U,V. It means that DL/DV is collinear to DS/DV. If IsOpposite == true these vectors have opposite direction.
GeomAbs_Shape	GetBasisSurfContinuity () const
	Returns continuity of the basis surface.
void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const final
	Dumps the content of me into the stream.
Public Member Functions inherited from Geom_Surface
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.
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.
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.
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
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 an offset surface in 3D space. An offset surface is defined by:

• the basis surface to which it is parallel, and
• the distance between the offset surface and its basis surface. A point on the offset surface is built by measuring the offset value along the normal vector at a point on the basis surface. This normal vector is given by the cross product D1u^D1v, where D1u and D1v are the vectors tangential to the basis surface in the u and v parametric directions at this point. The side of the basis surface on which the offset is measured depends on the sign of the offset value. A Geom_OffsetSurface surface can be self-intersecting, even if the basis surface does not self-intersect. The self-intersecting portions are not deleted at the time of construction. Warning There must be only one normal vector defined at any point on the basis surface. This must be verified by the user as no check is made at the time of construction to detect points with multiple possible normal directions (for example, the top of a conical surface).

Constructor & Destructor Documentation

Geom_OffsetSurface() [1/2]

Geom_OffsetSurface::Geom_OffsetSurface	(	const occ::handle< Geom_Surface > &	S,
		const double	Offset,
		const bool	isNotCheckC0 = false )

Constructs a surface offset from the basis surface S, where Offset is the distance between the offset surface and the basis surface at any point. A point on the offset surface is built by measuring the offset value along a normal vector at a point on S. This normal vector is given by the cross product D1u^D1v, where D1u and D1v are the vectors tangential to the basis surface in the u and v parametric directions at this point. The side of S on which the offset value is measured is indicated by this normal vector if Offset is positive, or is the inverse sense if Offset is negative. If isNotCheckC0 = TRUE checking if basis surface has C0-continuity is not made. Warnings :

• The offset surface is built with a copy of the surface S. Therefore, when S is modified the offset surface is not modified.
• No check is made at the time of construction to detect points on S with multiple possible normal directions. Raised if S is not at least C1. Warnings : No check is done to verify that a unique normal direction is defined at any point of the basis surface S.

Geom_OffsetSurface() [2/2]

Geom_OffsetSurface::Geom_OffsetSurface

(

const Geom_OffsetSurface &

theOther

)

Copy constructor for optimized copying without validation.

Parameters

[in]

theOther

the offset surface to copy from

~Geom_OffsetSurface()

Geom_OffsetSurface::~Geom_OffsetSurface ( )

override

Destructor.

Member Function Documentation

BasisSurface()

const occ::handle< Geom_Surface > & Geom_OffsetSurface::BasisSurface ( ) const

inline

Returns the basis surface of this offset surface. Note: The basis surface can be an offset surface.

Bounds()

void Geom_OffsetSurface::Bounds ( double & U1, double & U2, double & V1, double & V2 ) const

finalvirtual

Returns the parametric bounds U1, U2, V1 and V2 of this offset surface. If the surface is infinite, this function can return:

• double::RealFirst(), or
• double::RealLast().

Implements Geom_Surface.

ClearEvalRepresentation()

void Geom_OffsetSurface::ClearEvalRepresentation ( )

inline

Removes the evaluation representation.

Continuity()

GeomAbs_Shape Geom_OffsetSurface::Continuity ( ) const

finalvirtual

This method returns the continuity of the basis surface - 1. Continuity of the Offset surface : 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, CN : the order of continuity is infinite. Example : If the basis surface is C2 in the V direction and C3 in the U direction Shape = C1. Warnings : If the basis surface has a unique normal direction defined at any point this method gives the continuity of the offset surface otherwise the effective continuity can be lower than the continuity of the basis surface - 1.

Implements Geom_Surface.

Copy()

occ::handle< Geom_Geometry > Geom_OffsetSurface::Copy ( ) const

finalvirtual

Creates a new object which is a copy of this offset surface.

Implements Geom_Geometry.

DumpJson()

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

finalvirtual

Dumps the content of me into the stream.

Reimplemented from Geom_Geometry.

EvalD0()

gp_Pnt Geom_OffsetSurface::EvalD0 ( const double U, const double V ) const

finalvirtual

P (U, V) = Pbasis + Offset * Ndir

where

Ndir = D1Ubasis ^ D1Vbasis / ||D1Ubasis ^ D1Vbasis||

is the normal direction of the basis surface. Pbasis, D1Ubasis, D1Vbasis are the point and the first derivatives on the basis surface. If Ndir is undefined this method computes an approached normal direction using the following limited development:

Ndir = N0 + DNdir/DU + DNdir/DV + Eps

with Eps->0 which requires to compute the second derivatives on the basis surface. If the normal direction cannot be approximate for this order of derivation the exception UndefinedValue is raised.

Raised if the continuity of the basis surface is not C1. Raised if the order of derivation required to compute the normal direction is greater than the second order. Raises an exception on failure.

Implements Geom_Surface.

EvalD1()

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

finalvirtual

Computes the point and first partial derivatives at (U, V). Raises an exception if the continuity of the basis surface is not C2.

Implements Geom_Surface.

EvalD2()

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

finalvirtual

Computes the point and partial derivatives up to 2nd order at (U, V). Raises an exception if the continuity of the basis surface is not C3.

Implements Geom_Surface.

EvalD3()

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

finalvirtual

Computes the point and partial derivatives up to 3rd order at (U, V). Raises an exception if the continuity of the basis surface is not C4.

Implements Geom_Surface.

EvalDN()

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

finalvirtual

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

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

Warnings: The exception UndefinedValue or UndefinedDerivative is raised if it is not possible to compute a unique offset direction.

Implements Geom_Surface.

EvalRepresentation()

const occ::handle< GeomEval_RepSurfaceDesc::Base > & Geom_OffsetSurface::EvalRepresentation ( ) const

inline

Returns the current evaluation representation descriptor (may be null).

GetBasisSurfContinuity()

GeomAbs_Shape Geom_OffsetSurface::GetBasisSurfContinuity ( ) const

inline

Returns continuity of the basis surface.

HasEvalRepresentation()

bool Geom_OffsetSurface::HasEvalRepresentation ( ) const

inline

Returns true if an evaluation representation is attached.

IsCNu()

bool Geom_OffsetSurface::IsCNu ( const int N ) const

finalvirtual

This method answer True if the continuity of the basis surface is N + 1 in the U parametric direction. We suppose in this class that a unique normal is defined at any point on the basis surface. Raised if N <0.

Implements Geom_Surface.

IsCNv()

bool Geom_OffsetSurface::IsCNv ( const int N ) const

finalvirtual

This method answer True if the continuity of the basis surface is N + 1 in the V parametric direction. We suppose in this class that a unique normal is defined at any point on the basis surface. Raised if N <0.

Implements Geom_Surface.

IsUClosed()

bool Geom_OffsetSurface::IsUClosed ( ) const

finalvirtual

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

Implements Geom_Surface.

IsUPeriodic()

bool Geom_OffsetSurface::IsUPeriodic ( ) const

finalvirtual

Returns true if this offset surface is periodic in the u parametric direction, i.e. if the basis surface of this offset surface is periodic in this direction.

Implements Geom_Surface.

IsVClosed()

bool Geom_OffsetSurface::IsVClosed ( ) const

finalvirtual

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

Implements Geom_Surface.

IsVPeriodic()

bool Geom_OffsetSurface::IsVPeriodic ( ) const

finalvirtual

Returns true if this offset surface is periodic in the v parametric direction, i.e. if the basis surface of this offset surface is periodic in this direction.

Implements Geom_Surface.

Offset()

double Geom_OffsetSurface::Offset ( ) const

inline

Returns the offset value of this offset surface.

ParametricTransformation()

gp_GTrsf2d Geom_OffsetSurface::ParametricTransformation ( const gp_Trsf & T ) const

finalvirtual

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 calls the basis surface method.

Reimplemented from Geom_Surface.

SetBasisSurface()

void Geom_OffsetSurface::SetBasisSurface	(	const occ::handle< Geom_Surface > &	S,
		const bool	isNotCheckC0 = false )

Raised if S is not at least C1. Warnings : No check is done to verify that a unique normal direction is defined at any point of the basis surface S. If isNotCheckC0 = TRUE checking if basis surface has C0-continuity is not made. Exceptions Standard_ConstructionError if the surface S is not at least "C1" continuous.

SetEvalRepresentation()

void Geom_OffsetSurface::SetEvalRepresentation

(

const occ::handle< GeomEval_RepSurfaceDesc::Base > &

theDesc

)

Sets a new evaluation representation. Validates descriptor data and ensures no circular references.

SetOffsetValue()

void Geom_OffsetSurface::SetOffsetValue

(

const double

D

)

Changes this offset surface by assigning D as the offset value.

Surface()

occ::handle< Geom_Surface > Geom_OffsetSurface::Surface

(

)

const

returns an equivalent surface of the offset surface when the basis surface is a canonic surface or a rectangular limited surface on canonic surface or if the offset is null.

Transform()

void Geom_OffsetSurface::Transform ( const gp_Trsf & T )

finalvirtual

Applies the transformation T to this offset surface. Note: the basis surface is also modified.

Implements Geom_Geometry.

TransformParameters()

void Geom_OffsetSurface::TransformParameters ( double & U, double & V, const gp_Trsf & T ) const

finalvirtual

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 calls the basis surface method.

Reimplemented from Geom_Surface.

UIso()

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

finalvirtual

Computes the U isoparametric curve.

Implements Geom_Surface.

UOsculatingSurface()

bool Geom_OffsetSurface::UOsculatingSurface	(	const double	U,
		const double	V,
		bool &	IsOpposite,
		occ::handle< Geom_BSplineSurface > &	UOsculSurf ) const

if true, L is the local osculating surface along U at the point U,V. It means that DL/DU is collinear to DS/DU. If IsOpposite == true these vectors have opposite direction.

UPeriod()

double Geom_OffsetSurface::UPeriod ( ) const

finalvirtual

Returns the period of this offset surface in the u parametric direction respectively, i.e. the period of the basis surface of this offset surface in this parametric direction. raises if the surface is not uperiodic.

Reimplemented from Geom_Surface.

UReverse()

void Geom_OffsetSurface::UReverse ( )

finalvirtual

Changes the orientation of this offset surface in the u parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed.

Implements Geom_Surface.

UReversedParameter()

double Geom_OffsetSurface::UReversedParameter ( const double U ) const

finalvirtual

Computes the u parameter on the modified surface, produced by reversing the u parametric direction of this offset surface, for any point of u parameter U on this offset surface.

Implements Geom_Surface.

VIso()

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

finalvirtual

Computes the V isoparametric curve.

The following methods compute value and derivatives.

Warnings An exception is raised if a unique normal vector is not defined on the basis surface for the parametric value (U,V). No check is done at the creation time and we suppose in this package that the offset surface can be defined at any point.

Implements Geom_Surface.

VOsculatingSurface()

bool Geom_OffsetSurface::VOsculatingSurface	(	const double	U,
		const double	V,
		bool &	IsOpposite,
		occ::handle< Geom_BSplineSurface > &	VOsculSurf ) const

if true, L is the local osculating surface along V at the point U,V. It means that DL/DV is collinear to DS/DV. If IsOpposite == true these vectors have opposite direction.

VPeriod()

double Geom_OffsetSurface::VPeriod ( ) const

finalvirtual

Returns the period of this offset surface in the v parametric direction respectively, i.e. the period of the basis surface of this offset surface in this parametric direction. raises if the surface is not vperiodic.

Reimplemented from Geom_Surface.

VReverse()

void Geom_OffsetSurface::VReverse ( )

finalvirtual

Changes the orientation of this offset surface in the v parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed.

Implements Geom_Surface.

VReversedParameter()

double Geom_OffsetSurface::VReversedParameter ( const double V ) const

finalvirtual

Computes the v parameter on the modified surface, produced by reversing the or v parametric direction of this offset surface, for any point of v parameter V on this offset surface.

Implements Geom_Surface.

---

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

• Geom_OffsetSurface.hxx