CAD Exchanger SDK
Defines a surface of revolution. More...
#include <cadex/ModelData_SurfaceOfRevolution.hxx>
Public Types | |
| typedef cadex::internal::ModelData_SurfaceOfRevolutionImpl | ImplType |
 Public Types inherited from cadex::ModelData_SweptSurface | |
| typedef cadex::internal::ModelData_SweptSurfaceImpl | ImplType |
Public Member Functions | |
| ModelData_SurfaceOfRevolution () | |
| Constructor. | |
| ModelData_SurfaceOfRevolution (const ModelData_Curve &theBasisCurve, const ModelData_Point &theLocation, const ModelData_Direction &theDirection) | |
| Constructor. | |
| const ModelData_Point & | Location () const |
| Returns an origin point of a rotation axis. | |
| ModelData_SurfaceOfRevolution (const Handle_C &) | |
| Public Member Functions inherited from cadex::ModelData_SweptSurface | |
| ModelData_SweptSurface () | |
| Constructor. | |
| ModelData_Curve | BasisCurve () const |
| const ModelData_Direction & | Direction () const |
| Public Member Functions inherited from cadex::ModelData_Surface | |
| ModelData_Surface () | |
| Constructor. | |
| ModelData_Surface (const ModelData_Surface &theOther) | |
| Constructor. | |
| ModelData_Surface (ModelData_Surface &&theOther) | |
| Constructor. | |
| ~ModelData_Surface () | |
| Destructor. | |
| ModelData_Surface & | operator= (const ModelData_Surface &theOther) |
| Assignment operator. | |
| ModelData_Surface & | operator= (ModelData_Surface &&theOther) |
| Move assignment operator. | |
| ModelData_SurfaceType | Type () const |
| Returns a surface type. | |
| bool | IsNull () const |
| Returns true if the object has not been initialized yet. | |
| void | Nullify () |
| Resets the object. | |
| operator bool () const | |
| bool | IsUPeriodic () const |
| Returns true if the surface is periodic in U direction. | |
| bool | IsVPeriodic () const |
| Returns true if the surface is periodic in V direction. | |
| double | UMin () const |
| Returns a minimum parameter of a definition domain in U direction. | |
| double | UMax () const |
| Returns a maximum parameter of a definition domain in U direction. | |
| double | VMin () const |
| Returns a minimum parameter of a definition domain in V direction. | |
| double | VMax () const |
| Returns a maximum parameter of a definition domain in V direction. | |
| void | Domain (double &theUMin, double &theUMax, double &theVMin, double &theVMax) const |
| Returns a definition domain. | |
| ModelData_Point | Value (double theParameterU, double theParameterV) const |
| Evaluates a point on the surface. | |
| void | Transform (const ModelData_Transformation &theTransformation) |
| Applies transformation matrix to this object. | |
| ModelData_Surface | Transformed (const ModelData_Transformation &theTransformation) const |
| Returns a copy this object after applying transformation. | |
| ModelData_Continuity | Continuity () const |
| Returns a continuity type of the surface. | |
| void | D0 (double theParameterU, double theParameterV, ModelData_Point &theValue) const |
| Returns the point theValue of parameter theU, theV on the surface. | |
| void | D1 (double theParameterU, double theParameterV, ModelData_Point &theValue, ModelData_Vector &theD1U, ModelData_Vector &theD1V) const |
| Returns the point theValue and the first derivatives in the directions U theD1U and V theD1V at this point. | |
| void | D2 (double theParameterU, double theParameterV, ModelData_Point &theValue, ModelData_Vector &theD1U, ModelData_Vector &theD1V, ModelData_Vector &theD2U, ModelData_Vector &theD2V, ModelData_Vector &theD2UV) const |
| Returns the point theValue, the first and the second derivatives in the directions U and V at this point. | |
| bool | DN (double theParameterU, double theParameterV, size_t theDerivativeOrder, ModelData_Point &theValue, ModelData_Vector theD[]) const |
| void | Curvature (double theParameterU, double theParameterV, ModelData_Vector &thePrincipalMaxDirection, ModelData_Vector &thePrincipalMinDirection) const |
| Returns the max and min principal curvature directions multiplied by max and min value of curvature respectively. | |
| void | Curvature (double theParameterU, double theParameterV, ModelData_Direction &thePrincipalMaxDirection, ModelData_Direction &thePrincipalMinDirection, double &theMaxCurvature, double &theMinCurvature) const |
| Returns the max and min principal curvature directions and their values. | |
| void | Normal (double theParameterU, double theParameterV, ModelData_Direction &theNormal) const |
| Returns the normal direction theNormal at the current point. | |
| void | Mirror (const ModelData_Point &thePoint) |
| Mirrors the surface relative to the point. | |
| void | Mirror (const ModelData_Axis1Placement &theAxis) |
| Mirrors the surface relative to the axis placement. | |
| void | Mirror (const ModelData_Axis2Placement &theAxis) |
| Mirrors the surface relative to the axis placement. | |
| ModelData_Surface | Mirrored (const ModelData_Point &theRef) const |
| Returns a copy this surface mirrored along the object. | |
| ModelData_Surface | Mirrored (const ModelData_Axis1Placement &theAxis) const |
| Returns a copy this surface mirrored along the object. | |
| ModelData_Surface | Mirrored (const ModelData_Axis2Placement &theAxis) const |
| Returns a copy this surface mirrored along the object. | |
| void | Rotate (const ModelData_Axis1Placement &theAxis, double theAngle) |
| Rotates the surface around the axis. | |
| ModelData_Surface | Rotated (const ModelData_Axis1Placement &theAxis, double theAngle) const |
| Returns a copy this surface rotated along the axis. | |
| void | Translate (const ModelData_Vector &theVector) |
| Translates the surface along the vector. | |
| ModelData_Surface | Translated (const ModelData_Vector &theVector) const |
| Returns a copy this surface translated along the vector. | |
| void | Scale (const ModelData_Point &thePoint, double theScale) |
| Scales the surface with respect to the point. | |
| ModelData_Surface | Scaled (const ModelData_Point &thePoint, double theScale) const |
| Returns a copy this surface scaled with respect to the point. | |
Public Attributes | |
| operator Handle_C const | |
| Public Attributes inherited from cadex::ModelData_SweptSurface | |
| operator Handle_C const | |
Defines a surface of revolution.
Surface of revolution is defined by a basis curve and a rotation axis. The following image depicts an example of a surface of revolution:
A surface of revolution is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{Z}(v) + \cos(u)(\mathbf{B}(v) - \mathbf{Z}(v)) + \mathbf{D}\times\sin(u)(\mathbf{B}(v) - \mathbf{Z}(v))\), where:
U-parameter is an angle of rotation around the axis counterclockwise, and V-parameter is s a parameter along the curve \(\mathbf{B}(v)\). Thus, U-isolines are correspond to curve \(\mathbf{B}(v)\) rotated around the rotation axis and V-isolines are circles perpendicular to rotation axis with radius equal to distance from the axis to a point on the basis curve at parameter V. U-isoline at \(u=0\) is the basis curve itself.
The curve \(\mathbf{B}(v)\) should be planar although this is not enforced. It should not cross the rotation axis, except possibly at the end points.
Surface or revolution is periodic along U with period \(2\pi\). It is V-periodic if the basis curve is periodic itself.
If a face lies on a full range of U its boundary wire will contain two seam-edges at parameters UMin() and UMax(). Likewise, if the surface is V-periodic the wire will contain two seam-edges at parameters VMin() and VMax(). If the basis curve has end point(s) lying on a rotation axis then the wire will contain degenerated edge(s) at respective point(s).
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inline |
Constructor.
Empty constructor.
| cadex::ModelData_SurfaceOfRevolution::ModelData_SurfaceOfRevolution | ( | const ModelData_Curve & | theBasisCurve, |
| const ModelData_Point & | theLocation, | ||
| const ModelData_Direction & | theDirection | ||
| ) |
Constructor.
Creates a surface of revolution from a basis curve and a rotation axis.
| const ModelData_Point & cadex::ModelData_SurfaceOfRevolution::Location | ( | ) | const |
Returns an origin point of a rotation axis.
Returns the value specified in the constructor.