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. 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 translation. 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 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... | |
| 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
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:
