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virtual const char * | GetClassName () |
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virtual int | IsA (const char *type) |
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void | PrintSelf (ostream &os, vtkIndent indent) |
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virtual int | GetDimension () |
| Initialise the parameters for the Klein bottle. More...
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virtual void | Evaluate (double uvw[3], double Pt[3], double Duvw[9]) |
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virtual double | EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9]) |
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virtual void | SetMinimumU (double) |
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virtual double | GetMinimumU () |
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virtual void | SetMaximumU (double) |
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virtual double | GetMaximumU () |
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virtual void | SetMinimumV (double) |
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virtual double | GetMinimumV () |
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virtual void | SetMaximumV (double) |
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virtual double | GetMaximumV () |
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virtual void | SetMinimumW (double) |
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virtual double | GetMinimumW () |
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virtual void | SetMaximumW (double) |
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virtual double | GetMaximumW () |
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virtual void | SetJoinU (int) |
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virtual int | GetJoinU () |
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virtual void | JoinUOn () |
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virtual void | JoinUOff () |
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virtual void | SetJoinV (int) |
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virtual int | GetJoinV () |
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virtual void | JoinVOn () |
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virtual void | JoinVOff () |
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virtual void | SetTwistU (int) |
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virtual int | GetTwistU () |
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virtual void | TwistUOn () |
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virtual void | TwistUOff () |
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virtual void | SetTwistV (int) |
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virtual int | GetTwistV () |
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virtual void | TwistVOn () |
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virtual void | TwistVOff () |
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virtual void | SetClockwiseOrdering (int) |
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virtual int | GetClockwiseOrdering () |
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virtual void | ClockwiseOrderingOn () |
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virtual void | ClockwiseOrderingOff () |
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virtual void | SetDerivativesAvailable (int) |
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virtual int | GetDerivativesAvailable () |
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virtual void | DerivativesAvailableOn () |
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virtual void | DerivativesAvailableOff () |
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virtual void | DebugOn () |
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virtual void | DebugOff () |
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unsigned char | GetDebug () |
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void | SetDebug (unsigned char debugFlag) |
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virtual void | Modified () |
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virtual unsigned long | GetMTime () |
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unsigned long | AddObserver (unsigned long event, vtkCommand *, float priority=0.0f) |
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unsigned long | AddObserver (const char *event, vtkCommand *, float priority=0.0f) |
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vtkCommand * | GetCommand (unsigned long tag) |
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void | RemoveObserver (vtkCommand *) |
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void | RemoveObservers (unsigned long event, vtkCommand *) |
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void | RemoveObservers (const char *event, vtkCommand *) |
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int | HasObserver (unsigned long event, vtkCommand *) |
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int | HasObserver (const char *event, vtkCommand *) |
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void | RemoveObserver (unsigned long tag) |
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void | RemoveObservers (unsigned long event) |
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void | RemoveObservers (const char *event) |
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void | RemoveAllObservers () |
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int | HasObserver (unsigned long event) |
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int | HasObserver (const char *event) |
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template<class U , class T > |
unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f) |
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template<class U , class T > |
unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f) |
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int | InvokeEvent (unsigned long event, void *callData) |
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int | InvokeEvent (const char *event, void *callData) |
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int | InvokeEvent (unsigned long event) |
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int | InvokeEvent (const char *event) |
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const char * | GetClassName () const |
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virtual void | Delete () |
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virtual void | FastDelete () |
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void | Print (ostream &os) |
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virtual void | Register (vtkObjectBase *o) |
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virtual void | UnRegister (vtkObjectBase *o) |
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void | SetReferenceCount (int) |
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void | PrintRevisions (ostream &os) |
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virtual void | PrintHeader (ostream &os, vtkIndent indent) |
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virtual void | PrintTrailer (ostream &os, vtkIndent indent) |
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int | GetReferenceCount () |
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Generates a "classical" representation of a Klein bottle.
vtkParametricKlein generates a "classical" representation of a Klein bottle. A Klein bottle is a closed surface with no interior and only one surface. It is unrealisable in 3 dimensions without intersecting surfaces. It can be realised in 4 dimensions by considering the map
given by:
The classical representation of the immersion in
is returned by this function.
For further information about this surface, please consult the technical description "Parametric surfaces" in http://www.vtk.org/documents.php in the "VTK Technical Documents" section in the VTk.org web pages.
- Thanks:
- Andrew Maclean a.mac.nosp@m.lean.nosp@m.@cas..nosp@m.edu..nosp@m.au for creating and contributing the class.
- Tests:
- vtkParametricKlein (Tests)
Definition at line 47 of file vtkParametricKlein.h.
Construct a Klein Bottle with the following parameters: MinimumU = 0, MaximumU = 2*Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 0, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 1, DerivativesAvailable = 1,
virtual double vtkParametricKlein::EvaluateScalar |
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double |
uvw[3], |
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double |
Pt[3], |
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double |
Duvw[9] |
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) |
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virtual |
Calculate a user defined scalar using one or all of uvw, Pt, Duvw. uvw are the parameters with Pt being the the cartesian point, Duvw are the derivatives of this point with respect to u, v and w. Pt, Duvw are obtained from Evaluate(). This function is only called if the ScalarMode has the value vtkParametricFunctionSource::SCALAR_FUNCTION_DEFINED If the user does not need to calculate a scalar, then the instantiated function should return zero.
Implements vtkParametricFunction.