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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
[legend]

Public Member Functions

 GeomPlate_Surface (const Handle< Geom_Surface > &Surfinit, const Plate_Plate &Surfinter)
 
void UReverse ()
 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
 
 Return 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...

 
void VReverse ()
 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
 
 Return 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...

 
void Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const
 
 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...

 
Standard_Boolean IsUClosed () const
 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
 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
 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
 returns the Uperiod.
//! raises if the surface is not uperiodic.
More...
 
Standard_Boolean IsVPeriodic () const
 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
 returns the Vperiod.
//! raises if the surface is not vperiodic.
More...
 
Handle_Geom_Curve UIso (const Standard_Real U) const
 Computes the U isoparametric curve.
More...
 
Handle_Geom_Curve VIso (const Standard_Real V) const
 Computes the V isoparametric curve.
More...
 
GeomAbs_Shape Continuity () const
 
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...

 
Standard_Boolean IsCNu (const Standard_Integer N) const
 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
 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
 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.
More...
 
void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
 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
 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
 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
 —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...
 
Handle_Geom_Geometry Copy () const
 Creates a new object which is a copy of this geometric object.
More...
 
void Transform (const gp_Trsf &T)
 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. <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...
 
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 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_Transientoperator= (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 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 ( const Handle< Geom_Surface > &  Surfinit,
const Plate_Plate Surfinter 
)

Member Function Documentation

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

Implements Geom_Surface.

Handle_Geom_Surface GeomPlate_Surface::CallSurfinit ( ) const
void GeomPlate_Surface::Constraints ( TColgp_SequenceOfXY Seq) const
GeomAbs_Shape GeomPlate_Surface::Continuity ( ) const
virtual

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.

Implements Geom_Surface.

Handle_Geom_Geometry GeomPlate_Surface::Copy ( ) const
virtual

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

Implements Geom_Geometry.

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

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.

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

Implements Geom_Surface.

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
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.

Implements Geom_Surface.

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
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.

Implements Geom_Surface.

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

Implements Geom_Surface.

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

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

Implements Geom_Surface.

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

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

Implements Geom_Surface.

Standard_Boolean GeomPlate_Surface::IsUClosed ( ) const
virtual

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.

Standard_Boolean GeomPlate_Surface::IsUPeriodic ( ) const
virtual

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.

Standard_Boolean GeomPlate_Surface::IsVClosed ( ) const
virtual

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.

Standard_Boolean GeomPlate_Surface::IsVPeriodic ( ) const
virtual

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.

virtual gp_GTrsf2d GeomPlate_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 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 
)
void GeomPlate_Surface::Transform ( const gp_Trsf T)
virtual

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.

virtual void GeomPlate_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 from Geom_Surface.

Handle_Geom_Curve GeomPlate_Surface::UIso ( const Standard_Real  U) const
virtual

Computes the U isoparametric curve.

Implements Geom_Surface.

virtual Standard_Real GeomPlate_Surface::UPeriod ( ) const
virtual

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

Reimplemented from Geom_Surface.

void GeomPlate_Surface::UReverse ( )
virtual

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

Implements Geom_Surface.

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

 Return 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)

Implements Geom_Surface.

Handle_Geom_Curve GeomPlate_Surface::VIso ( const Standard_Real  V) const
virtual

Computes the V isoparametric curve.

Implements Geom_Surface.

virtual Standard_Real GeomPlate_Surface::VPeriod ( ) const
virtual

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

Reimplemented from Geom_Surface.

void GeomPlate_Surface::VReverse ( )
virtual

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

Implements Geom_Surface.

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

 Return 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)

Implements Geom_Surface.


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