Open CASCADE Technology  7.4.1.dev
Public Member Functions
GeomPlate_Surface Class Reference

Describes the characteristics of plate surface objects returned by BuildPlateSurface::Surface. These can be used to verify the quality of the resulting surface before approximating it to a Geom_BSpline surface generated by MakeApprox. This proves necessary in cases where you want to use the resulting surface as the support for a shape. The algorithmically generated surface cannot fill this function as is, and as a result must be converted first. More...

#include <GeomPlate_Surface.hxx>

Inheritance diagram for GeomPlate_Surface:
Inheritance graph
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Public Member Functions

 GeomPlate_Surface (const Handle< Geom_Surface > &Surfinit, const Plate_Plate &Surfinter)
 
void UReverse () override
 Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. More...
 
Standard_Real UReversedParameter (const Standard_Real U) const override
 Return the parameter on the Ureversed surface for the point of parameter U on <me>. More...
 
void VReverse () override
 Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. More...
 
Standard_Real VReversedParameter (const Standard_Real V) const override
 Return 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 override
 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 override
 Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...
 
void Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const override
 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...
 
Standard_Boolean IsUClosed () const override
 Is the surface closed in the parametric direction U ? Returns True if for each parameter V the distance between the point P (UFirst, V) and P (ULast, V) is lower or equal to Resolution from gp. UFirst and ULast are the parametric bounds in the U direction. More...
 
Standard_Boolean IsVClosed () const override
 Is the surface closed in the parametric direction V ? Returns True if for each parameter U the distance between the point P (U, VFirst) and P (U, VLast) is lower or equal to Resolution from gp. VFirst and VLast are the parametric bounds in the V direction. More...
 
Standard_Boolean IsUPeriodic () const override
 Is the parametrization of a surface periodic in the direction U ? It is possible only if the surface is closed in this parametric direction and if the following relation is satisfied : for each parameter V the distance between the point P (U, V) and the point P (U + T, V) is lower or equal to Resolution from package gp. T is the parametric period and must be a constant. More...
 
virtual Standard_Real UPeriod () const override
 returns the Uperiod. raises if the surface is not uperiodic. More...
 
Standard_Boolean IsVPeriodic () const override
 Is the parametrization of a surface periodic in the direction U ? It is possible only if the surface is closed in this parametric direction and if the following relation is satisfied : for each parameter V the distance between the point P (U, V) and the point P (U + T, V) is lower or equal to Resolution from package gp. T is the parametric period and must be a constant. More...
 
virtual Standard_Real VPeriod () const override
 returns the Vperiod. raises if the surface is not vperiodic. More...
 
Handle< Geom_CurveUIso (const Standard_Real U) const override
 Computes the U isoparametric curve. More...
 
Handle< Geom_CurveVIso (const Standard_Real V) const override
 Computes the V isoparametric curve. More...
 
GeomAbs_Shape Continuity () const override
 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. More...
 
Standard_Boolean IsCNu (const Standard_Integer N) const override
 Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0. More...
 
Standard_Boolean IsCNv (const Standard_Integer N) const override
 Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0. More...
 
void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const override
 Computes the point of parameter U,V on the surface. More...
 
void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const override
 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...
 
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 override
 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...
 
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 override
 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...
 
gp_Vec DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const override
 —Purpose ; Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). More...
 
Handle< Geom_GeometryCopy () const override
 Creates a new object which is a copy of this geometric object. More...
 
void Transform (const gp_Trsf &T) override
 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_SurfaceCallSurfinit () const
 
void SetBounds (const Standard_Real Umin, const Standard_Real Umax, const Standard_Real Vmin, const Standard_Real Vmax)
 
void RealBounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const
 
void Constraints (TColgp_SequenceOfXY &Seq) const
 
- Public Member Functions inherited from Geom_Surface
Handle< Geom_SurfaceUReversed () const
 Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...
 
Handle< Geom_SurfaceVReversed () const
 Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...
 
gp_Pnt Value (const Standard_Real U, const Standard_Real V) const
 Computes the point of parameter U 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 tanslation. More...
 
void Translate (const gp_Pnt &P1, const gp_Pnt &P2)
 Translates a Geometry from the point P1 to the point P2. More...
 
Handle< Geom_GeometryMirrored (const gp_Pnt &P) const
 
Handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const
 
Handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const
 
Handle< Geom_GeometryRotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 
Handle< Geom_GeometryScaled (const gp_Pnt &P, const Standard_Real S) const
 
Handle< Geom_GeometryTransformed (const gp_Trsf &T) const
 
Handle< Geom_GeometryTranslated (const gp_Vec &V) const
 
Handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const
 
- Public Member Functions inherited from Standard_Transient
 Standard_Transient ()
 Empty constructor. More...
 
 Standard_Transient (const Standard_Transient &)
 Copy constructor – does nothing. More...
 
Standard_Transientoperator= (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_TransientThis () 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 characteristics of plate surface objects returned by BuildPlateSurface::Surface. These can be used to verify the quality of the resulting surface before approximating it to a Geom_BSpline surface generated by MakeApprox. This proves necessary in cases where you want to use the resulting surface as the support for a shape. The algorithmically generated surface cannot fill this function as is, and as a result must be converted first.

Constructor & Destructor Documentation

◆ GeomPlate_Surface()

GeomPlate_Surface::GeomPlate_Surface ( const Handle< Geom_Surface > &  Surfinit,
const Plate_Plate Surfinter 
)

Member Function Documentation

◆ Bounds()

void GeomPlate_Surface::Bounds ( Standard_Real U1,
Standard_Real U2,
Standard_Real V1,
Standard_Real V2 
) const
overridevirtual

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.

Implements Geom_Surface.

◆ CallSurfinit()

Handle< Geom_Surface > GeomPlate_Surface::CallSurfinit ( ) const

◆ Constraints()

void GeomPlate_Surface::Constraints ( TColgp_SequenceOfXY Seq) const

◆ Continuity()

GeomAbs_Shape GeomPlate_Surface::Continuity ( ) const
overridevirtual

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.

Implements Geom_Surface.

◆ Copy()

Handle< Geom_Geometry > GeomPlate_Surface::Copy ( ) const
overridevirtual

Creates a new object which is a copy of this geometric object.

Implements Geom_Geometry.

◆ D0()

void GeomPlate_Surface::D0 ( const Standard_Real  U,
const Standard_Real  V,
gp_Pnt P 
) const
overridevirtual

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.

Implements Geom_Surface.

◆ D1()

void GeomPlate_Surface::D1 ( const Standard_Real  U,
const Standard_Real  V,
gp_Pnt P,
gp_Vec D1U,
gp_Vec D1V 
) const
overridevirtual

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.

Implements Geom_Surface.

◆ D2()

void GeomPlate_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
overridevirtual

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.

Implements Geom_Surface.

◆ D3()

void GeomPlate_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
overridevirtual

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.

Implements Geom_Surface.

◆ DN()

gp_Vec GeomPlate_Surface::DN ( const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  Nu,
const Standard_Integer  Nv 
) const
overridevirtual

—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.

Implements Geom_Surface.

◆ IsCNu()

Standard_Boolean GeomPlate_Surface::IsCNu ( const Standard_Integer  N) const
overridevirtual

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

Implements Geom_Surface.

◆ IsCNv()

Standard_Boolean GeomPlate_Surface::IsCNv ( const Standard_Integer  N) const
overridevirtual

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

Implements Geom_Surface.

◆ IsUClosed()

Standard_Boolean GeomPlate_Surface::IsUClosed ( ) const
overridevirtual

Is the surface closed in the parametric direction U ? Returns True if for each parameter V the distance between the point P (UFirst, V) and P (ULast, V) is lower or equal to Resolution from gp. UFirst and ULast are the parametric bounds in the U direction.

Implements Geom_Surface.

◆ IsUPeriodic()

Standard_Boolean GeomPlate_Surface::IsUPeriodic ( ) const
overridevirtual

Is the parametrization of a surface periodic in the direction U ? It is possible only if the surface is closed in this parametric direction and if the following relation is satisfied : for each parameter V the distance between the point P (U, V) and the point P (U + T, V) is lower or equal to Resolution from package gp. T is the parametric period and must be a constant.

Implements Geom_Surface.

◆ IsVClosed()

Standard_Boolean GeomPlate_Surface::IsVClosed ( ) const
overridevirtual

Is the surface closed in the parametric direction V ? Returns True if for each parameter U the distance between the point P (U, VFirst) and P (U, VLast) is lower or equal to Resolution from gp. VFirst and VLast are the parametric bounds in the V direction.

Implements Geom_Surface.

◆ IsVPeriodic()

Standard_Boolean GeomPlate_Surface::IsVPeriodic ( ) const
overridevirtual

Is the parametrization of a surface periodic in the direction U ? It is possible only if the surface is closed in this parametric direction and if the following relation is satisfied : for each parameter V the distance between the point P (U, V) and the point P (U + T, V) is lower or equal to Resolution from package gp. T is the parametric period and must be a constant.

Implements Geom_Surface.

◆ ParametricTransformation()

virtual gp_GTrsf2d GeomPlate_Surface::ParametricTransformation ( const gp_Trsf T) const
overridevirtual

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 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 from Geom_Surface.

◆ RealBounds()

void GeomPlate_Surface::RealBounds ( Standard_Real U1,
Standard_Real U2,
Standard_Real V1,
Standard_Real V2 
) const

◆ SetBounds()

void GeomPlate_Surface::SetBounds ( const Standard_Real  Umin,
const Standard_Real  Umax,
const Standard_Real  Vmin,
const Standard_Real  Vmax 
)

◆ Transform()

void GeomPlate_Surface::Transform ( const gp_Trsf T)
overridevirtual

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).

Implements Geom_Geometry.

◆ TransformParameters()

virtual void GeomPlate_Surface::TransformParameters ( Standard_Real U,
Standard_Real V,
const gp_Trsf T 
) const
overridevirtual

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->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 from Geom_Surface.

◆ UIso()

Handle< Geom_Curve > GeomPlate_Surface::UIso ( const Standard_Real  U) const
overridevirtual

Computes the U isoparametric curve.

Implements Geom_Surface.

◆ UPeriod()

virtual Standard_Real GeomPlate_Surface::UPeriod ( ) const
overridevirtual

returns the Uperiod. raises if the surface is not uperiodic.

Reimplemented from Geom_Surface.

◆ UReverse()

void GeomPlate_Surface::UReverse ( )
overridevirtual

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

Implements Geom_Surface.

◆ UReversedParameter()

Standard_Real GeomPlate_Surface::UReversedParameter ( const Standard_Real  U) const
overridevirtual

Return 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)

Implements Geom_Surface.

◆ VIso()

Handle< Geom_Curve > GeomPlate_Surface::VIso ( const Standard_Real  V) const
overridevirtual

Computes the V isoparametric curve.

Implements Geom_Surface.

◆ VPeriod()

virtual Standard_Real GeomPlate_Surface::VPeriod ( ) const
overridevirtual

returns the Vperiod. raises if the surface is not vperiodic.

Reimplemented from Geom_Surface.

◆ VReverse()

void GeomPlate_Surface::VReverse ( )
overridevirtual

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

Implements Geom_Surface.

◆ VReversedParameter()

Standard_Real GeomPlate_Surface::VReversedParameter ( const Standard_Real  V) const
overridevirtual

Return 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)

Implements Geom_Surface.


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