Open CASCADE Technology
7.4.0
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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>
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_Curve > | UIso (const Standard_Real U) const override |
Computes the U isoparametric curve. More... | |
Handle< Geom_Curve > | VIso (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_Geometry > | Copy () 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_Surface > | CallSurfinit () 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_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... | |
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... | |
gp_Pnt | Value (const Standard_Real U, const Standard_Real V) const |
Computes the point of parameter U on the surface. 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_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 |
Public Member Functions inherited from Standard_Transient | |
Standard_Transient () | |
Empty constructor. More... | |
Standard_Transient (const Standard_Transient &) | |
Copy constructor – does nothing. More... | |
Standard_Transient & | operator= (const Standard_Transient &) |
Assignment operator, needed to avoid copying reference counter. More... | |
virtual | ~Standard_Transient () |
Destructor must be virtual. More... | |
virtual void | Delete () const |
Memory deallocator for transient classes. More... | |
virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
Returns a type descriptor about this object. More... | |
Standard_Boolean | IsInstance (const opencascade::handle< Standard_Type > &theType) const |
Returns a true value if this is an instance of Type. More... | |
Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
Returns a true value if this is an instance of TypeName. More... | |
Standard_Boolean | IsKind (const opencascade::handle< Standard_Type > &theType) const |
Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
Standard_Boolean | IsKind (const Standard_CString theTypeName) const |
Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
Standard_Transient * | This () const |
Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More... | |
Standard_Integer | GetRefCount () const |
Get the reference counter of this object. More... | |
void | IncrementRefCounter () const |
Increments the reference counter of this object. More... | |
Standard_Integer | DecrementRefCounter () const |
Decrements the reference counter of this object; returns the decremented value. More... | |
Additional Inherited Members | |
Public Types inherited from Standard_Transient | |
typedef void | base_type |
Returns a type descriptor about this object. More... | |
Static Public Member Functions inherited from Standard_Transient | |
static const char * | get_type_name () |
Returns a type descriptor about this object. More... | |
static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
Returns type descriptor of Standard_Transient class. More... | |
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.
GeomPlate_Surface::GeomPlate_Surface | ( | const Handle< Geom_Surface > & | Surfinit, |
const Plate_Plate & | Surfinter | ||
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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.
Handle< Geom_Surface > GeomPlate_Surface::CallSurfinit | ( | ) | const |
void GeomPlate_Surface::Constraints | ( | TColgp_SequenceOfXY & | Seq | ) | const |
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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.
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Creates a new object which is a copy of this geometric object.
Implements Geom_Geometry.
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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.
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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.
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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.
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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.
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—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.
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Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0.
Implements Geom_Surface.
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Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0.
Implements Geom_Surface.
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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.
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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.
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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.
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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.
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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.
void GeomPlate_Surface::RealBounds | ( | Standard_Real & | U1, |
Standard_Real & | U2, | ||
Standard_Real & | V1, | ||
Standard_Real & | V2 | ||
) | const |
void GeomPlate_Surface::SetBounds | ( | const Standard_Real | Umin, |
const Standard_Real | Umax, | ||
const Standard_Real | Vmin, | ||
const Standard_Real | Vmax | ||
) |
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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.
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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.
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Computes the U isoparametric curve.
Implements Geom_Surface.
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returns the Uperiod. raises if the surface is not uperiodic.
Reimplemented from Geom_Surface.
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Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified.
Implements Geom_Surface.
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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.
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Computes the V isoparametric curve.
Implements Geom_Surface.
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returns the Vperiod. raises if the surface is not vperiodic.
Reimplemented from Geom_Surface.
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Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified.
Implements Geom_Surface.
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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.