Manufacturing Toolkit
SphericalSurface SphericalSurface.hxx cadex/Geom/SphericalSurface.hxx. More...
Public Member Functions | |
| __init__ (self, thePosition, theRadius) | |
| Constructor. | |
| Radius (self) | |
| Returns radius. | |
 Public Member Functions inherited from manufacturingtoolkit.CadExMTK.Geom_ElementarySurface | |
| Position (self) | |
| Returns a surface axis. | |
| Location (self) | |
| Returns origin point. | |
| Direction (self) | |
| Returns Z direction of the axis placement. | |
| Parameter (self, thePoint) | |
| Public Member Functions inherited from manufacturingtoolkit.CadExMTK.Geom_Surface | |
| Type (self) | |
| Returns a surface type. | |
| Continuity (self) | |
| Returns a continuity type of the surface. | |
| Value (self, theParameterU, theParameterV) | |
| Evaluates a point on the surface. | |
| Normal (self, theParameterU, theParameterV) | |
| IsUPeriodic (self) | |
| Returns true if the surface is periodic in U direction. | |
| IsVPeriodic (self) | |
| Returns true if the surface is periodic in V direction. | |
| UMin (self) | |
| Returns a minimum parameter of a definition domain in U direction. | |
| UMax (self) | |
| Returns a maximum parameter of a definition domain in U direction. | |
| VMin (self) | |
| Returns a minimum parameter of a definition domain in V direction. | |
| VMax (self) | |
| Returns a maximum parameter of a definition domain in V direction. | |
| Domain (self) | |
| Returns a definition domain. | |
| IsTrimmed (self) | |
| Returns whether surface is trimmed or not. | |
| SetTrim (self, theUFirst, theULast, theVFirst, theVLast) | |
| Trims surface with [theUFirst, theULast] x [theVFirst, theVLast] section. | |
| Transform (self, theTransformation) | |
| Applies transformation matrix to this object. | |
| Transformed (self, theTransformation) | |
| Returns a copy this object after applying transformation. | |
| D0 (self, theParameterU, theParameterV, theValue) | |
| D1 (self, theParameterU, theParameterV, theValue, theD1U, theD1V) | |
| D2 (self, theParameterU, theParameterV, theValue, theD1U, theD1V, theD2U, theD2V, theD2UV) | |
| DN (self, theParameterU, theParameterV, theDerivativeOrder, theValue, theD) | |
| Returns true if calculation was passed succsesfully, the returned vectors gives the value of the derivative for the order of derivation theDerivativeOrder. | |
| Curvature (self, *args) | |
| Mirror (self, *args) | |
| Mirrored (self, *args) | |
| Rotate (self, theAxis, theAngle) | |
| Rotated (self, theAxis, theAngle) | |
| Translate (self, theVector) | |
| Translated (self, theVector) | |
| Scale (self, thePoint, theScale) | |
| Scaled (self, thePoint, theScale) | |
| Public Member Functions inherited from manufacturingtoolkit.CadExMTK.BaseObject | |
| Id (self) | |
| Return unique identifier of public object. | |
| IsNull (self) | |
Static Public Member Functions | |
| CompareType (theObject) | |
| Cast (theBase) | |
SphericalSurface SphericalSurface.hxx cadex/Geom/SphericalSurface.hxx.
Defines a spherical surface.
A spherical surface is defined by an axis placement and a radius. The following image depicts a spherical surface example:
A spherical surface is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{P} + R\cos(v)(\cos(u)\mathbf{D}_x + \sin(u)\mathbf{D}_y) + R\sin(v)\mathbf{D}_z\), where
U-parameter is an angle of rotation around the Dz axis counterclockwise (i.e. similar to longitude on the Earth), and V-parameter is an angle between plane defined by an axis placement and line from P to a point on a sphere (i.e. latitude). Thus, U-isolines are semi-circles and V-isoline are circles.
V-isoline at \(v=0\) is a circle of radius \(R\) in the plane defined by an axis placement. U-isoline at \(u=0\) corresponds to a semi-circle from south to north pole.
Spherical surface is U-periodical with period \(2\pi\).
If a face lies on a full spherical surface its boundary wire will contain two a degenerated edges corresponding to the south and north poles (V equals \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\) respectively), and a seam-edge.
| manufacturingtoolkit.CadExMTK.Geom_SphericalSurface.__init__ | ( | self, | |
| thePosition, | |||
| theRadius ) |
Constructor.
Reimplemented from manufacturingtoolkit.CadExMTK.Geom_ElementarySurface.
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static |
Reimplemented from manufacturingtoolkit.CadExMTK.Geom_ElementarySurface.
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static |
Reimplemented from manufacturingtoolkit.CadExMTK.Geom_ElementarySurface.