Geom_BoundedSurface Class Reference
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>
Inheritance diagram for Geom_BoundedSurface:
Additional Inherited Members | |
 Public Types inherited from Standard_Transient | |
| typedef void | base_type |
| Returns a type descriptor about this object. | |
| 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. | |
| 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. | |
| 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>. | |
| virtual void | VReverse ()=0 |
| Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. | |
| 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. | |
| 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>. | |
| 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>. | |
| 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. | |
| 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. | |
| 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(). | |
| 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(). | |
| virtual Standard_Boolean | IsUPeriodic () const =0 |
| Checks if this surface is periodic in the u parametric direction. Returns true if: | |
| virtual Standard_Real | UPeriod () const |
| Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic. | |
| virtual Standard_Boolean | IsVPeriodic () const =0 |
| Checks if this surface is periodic in the v parametric direction. Returns true if: | |
| virtual Standard_Real | VPeriod () const |
| Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic. | |
| virtual Handle< Geom_Curve > | UIso (const Standard_Real U) const =0 |
| Computes the U isoparametric curve. | |
| virtual Handle< Geom_Curve > | VIso (const Standard_Real V) const =0 |
| Computes the V isoparametric curve. | |
| virtual GeomAbs_Shape | Continuity () const =0 |
| Returns the Global Continuity of the surface in direction U and V : | |
| 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. | |
| 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. | |
| 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. | |
| 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. | |
| 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. | |
| 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. | |
| virtual gp_Vec | DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const =0 |
| Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). | |
| gp_Pnt | Value (const Standard_Real U, const Standard_Real V) const |
| Computes the point of parameter (U, V) on the surface. | |
| virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer 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 Standard_Real 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 Standard_Real 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. | |
| virtual void | Transform (const gp_Trsf &T)=0 |
| Transformation of a geometric object. This transformation 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). | |
| 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. | |
| 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 () |
| Destructor must be virtual. | |
| virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
| Returns a type descriptor about this object. | |
| Standard_Boolean | IsInstance (const opencascade::handle< Standard_Type > &theType) const |
| Returns a true value if this is an instance of Type. | |
| Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
| Returns a true value if this is an instance of TypeName. | |
| 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. | |
| 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. | |
| 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. | |
| Standard_Integer | GetRefCount () const noexcept |
| Get the reference counter of this object. | |
| void | IncrementRefCounter () noexcept |
| Increments the reference counter of this object. | |
| Standard_Integer | DecrementRefCounter () noexcept |
| Decrements the reference counter of this object; returns the decremented value. | |
| virtual void | Delete () const |
| Memory deallocator for transient classes. | |
| 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
The root class for bounded surfaces in 3D space. A bounded surface is defined by a rectangle in its 2D parametric space, i.e.
- its u parameter, which ranges between two finite values u0 and u1, referred to as "First u parameter" and "Last u parameter" respectively, and
- its v parameter, which ranges between two finite values v0 and v1, referred to as "First v parameter" and the "Last v parameter" respectively. The surface is limited by four curves which are the boundaries of the surface:
- its u0 and u1 isoparametric curves in the u parametric direction, and
- its v0 and v1 isoparametric curves in the v parametric direction. A bounded surface is finite. The common behavior of all bounded surfaces is described by the Geom_Surface class. The Geom package provides three concrete implementations of bounded surfaces:
- Geom_BezierSurface,
- Geom_BSplineSurface, and
- Geom_RectangularTrimmedSurface. The first two of these implement well known mathematical definitions of complex surfaces, the third trims a surface using four isoparametric curves, i.e. it limits the variation of its parameters to a rectangle in 2D parametric space.
The documentation for this class was generated from the following file:
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