Open CASCADE Technology
7.5.0

The root class for bounded surfaces in 3D space. A bounded surface is defined by a rectangle in its 2D parametric space, i.e. More...
#include <Geom_BoundedSurface.hxx>
Additional Inherited Members  
Public Types inherited from Standard_Transient  
typedef void  base_type 
Returns a type descriptor about this object. More...  
Public Member Functions inherited from Geom_Surface  
virtual void  UReverse ()=0 
Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. More...  
Handle< Geom_Surface >  UReversed () const 
Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...  
virtual Standard_Real  UReversedParameter (const Standard_Real U) const =0 
Returns the parameter on the Ureversed surface for the point of parameter U on <me>. More...  
virtual void  VReverse ()=0 
Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. More...  
Handle< Geom_Surface >  VReversed () const 
Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...  
virtual Standard_Real  VReversedParameter (const Standard_Real V) const =0 
Returns the parameter on the Vreversed surface for the point of parameter V on <me>. More...  
virtual void  TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const 
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 
Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...  
virtual void  Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const =0 
Returns the parametric bounds U1, U2, V1 and V2 of this surface. If the surface is infinite, this function can return a value equal to Precision::Infinite: instead of Standard_Real::LastReal. More...  
virtual Standard_Boolean  IsUClosed () const =0 
Checks whether this surface is closed in the u parametric direction. Returns true if, in the u parametric direction: taking uFirst and uLast as the parametric bounds in the u parametric direction, for each parameter v, the distance between the points P(uFirst, v) and P(uLast, v) is less than or equal to gp::Resolution(). More...  
virtual Standard_Boolean  IsVClosed () const =0 
Checks whether this surface is closed in the u parametric direction. Returns true if, in the v parametric direction: taking vFirst and vLast as the parametric bounds in the v parametric direction, for each parameter u, the distance between the points P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution(). More...  
virtual Standard_Boolean  IsUPeriodic () const =0 
Checks if this surface is periodic in the u parametric direction. Returns true if: More...  
virtual Standard_Real  UPeriod () const 
Returns the period of this surface in the u parametric direction. raises if the surface is not uperiodic. More...  
virtual Standard_Boolean  IsVPeriodic () const =0 
Checks if this surface is periodic in the v parametric direction. Returns true if: More...  
virtual Standard_Real  VPeriod () const 
Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic. More...  
virtual Handle< Geom_Curve >  UIso (const Standard_Real U) const =0 
Computes the U isoparametric curve. More...  
virtual Handle< Geom_Curve >  VIso (const Standard_Real V) const =0 
Computes the V isoparametric curve. More...  
virtual GeomAbs_Shape  Continuity () const =0 
Returns the Global Continuity of the surface in direction U and V : C0 : only geometric continuity, C1 : continuity of the first derivative all along the surface, C2 : continuity of the second derivative all along the surface, C3 : continuity of the third derivative all along the surface, G1 : tangency continuity all along the surface, G2 : curvature continuity all along the surface, CN : the order of continuity is infinite. Example : If the surface is C1 in the V parametric direction and C2 in the U parametric direction Shape = C1. More...  
virtual Standard_Boolean  IsCNu (const Standard_Integer N) const =0 
Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0. More...  
virtual Standard_Boolean  IsCNv (const Standard_Integer N) const =0 
Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0. More...  
virtual void  D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const =0 
Computes the point of parameter U,V on the surface. More...  
virtual void  D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const =0 
Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1. More...  
virtual void  D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const =0 
Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...  
virtual void  D3 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D3U, gp_Vec &D3V, gp_Vec &D3UUV, gp_Vec &D3UVV) const =0 
Computes the point P, the first,the second and the third derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...  
virtual gp_Vec  DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const =0 
—Purpose ; Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). 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...  
virtual void  Transform (const gp_Trsf &T)=0 
Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom). More...  
Handle< Geom_Geometry >  Mirrored (const gp_Pnt &P) const 
Handle< Geom_Geometry >  Mirrored (const gp_Ax1 &A1) const 
Handle< Geom_Geometry >  Mirrored (const gp_Ax2 &A2) const 
Handle< Geom_Geometry >  Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const 
Handle< Geom_Geometry >  Scaled (const gp_Pnt &P, const Standard_Real S) const 
Handle< Geom_Geometry >  Transformed (const gp_Trsf &T) const 
Handle< Geom_Geometry >  Translated (const gp_Vec &V) const 
Handle< Geom_Geometry >  Translated (const gp_Pnt &P1, const gp_Pnt &P2) const 
virtual Handle< Geom_Geometry >  Copy () const =0 
Creates a new object which is a copy of this geometric object. More...  
Public Member Functions inherited from 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 nonconst 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...  
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...  
The root class for bounded surfaces in 3D space. A bounded surface is defined by a rectangle in its 2D parametric space, i.e.