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vtkParametricFigure8Klein Class Reference

Generate a figure-8 Klein bottle. More...

#include <vtkParametricFigure8Klein.h>

Inheritance diagram for vtkParametricFigure8Klein:
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Collaboration diagram for vtkParametricFigure8Klein:
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Public Types

typedef vtkParametricFunction Superclass
 
- Public Types inherited from vtkParametricFunction
typedef vtkObject Superclass
 

Public Member Functions

virtual int IsA (const char *type)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
vtkParametricFigure8KleinNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
int GetDimension () override
 Return the parametric dimension of the class. More...
 
void Evaluate (double uvw[3], double Pt[3], double Duvw[9]) override
 A Figure-8 Klein bottle. More...
 
double EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9]) override
 Calculate a user defined scalar using one or all of uvw, Pt, Duvw. More...
 
virtual void SetRadius (double)
 Set/Get the radius of the bottle. More...
 
virtual double GetRadius ()
 Set/Get the radius of the bottle. More...
 
- Public Member Functions inherited from vtkParametricFunction
vtkParametricFunctionNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void SetMinimumU (double)
 Set/Get the minimum u-value. More...
 
virtual double GetMinimumU ()
 Set/Get the minimum u-value. More...
 
virtual void SetMaximumU (double)
 Set/Get the maximum u-value. More...
 
virtual double GetMaximumU ()
 Set/Get the maximum u-value. More...
 
virtual void SetMinimumV (double)
 Set/Get the minimum v-value. More...
 
virtual double GetMinimumV ()
 Set/Get the minimum v-value. More...
 
virtual void SetMaximumV (double)
 Set/Get the maximum v-value. More...
 
virtual double GetMaximumV ()
 Set/Get the maximum v-value. More...
 
virtual void SetMinimumW (double)
 Set/Get the minimum w-value. More...
 
virtual double GetMinimumW ()
 Set/Get the minimum w-value. More...
 
virtual void SetMaximumW (double)
 Set/Get the maximum w-value. More...
 
virtual double GetMaximumW ()
 Set/Get the maximum w-value. More...
 
virtual void SetJoinU (int)
 Set/Get the flag which joins the first triangle strip to the last one. More...
 
virtual int GetJoinU ()
 Set/Get the flag which joins the first triangle strip to the last one. More...
 
virtual void JoinUOn ()
 Set/Get the flag which joins the first triangle strip to the last one. More...
 
virtual void JoinUOff ()
 Set/Get the flag which joins the first triangle strip to the last one. More...
 
virtual void SetJoinV (int)
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual int GetJoinV ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void JoinVOn ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void JoinVOff ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void SetJoinW (int)
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual int GetJoinW ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void JoinWOn ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void JoinWOff ()
 Set/Get the flag which joins the the ends of the triangle strips. More...
 
virtual void SetTwistU (int)
 Set/Get the flag which joins the first triangle strip to the last one with a twist. More...
 
virtual int GetTwistU ()
 Set/Get the flag which joins the first triangle strip to the last one with a twist. More...
 
virtual void TwistUOn ()
 Set/Get the flag which joins the first triangle strip to the last one with a twist. More...
 
virtual void TwistUOff ()
 Set/Get the flag which joins the first triangle strip to the last one with a twist. More...
 
virtual void SetTwistV (int)
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual int GetTwistV ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void TwistVOn ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void TwistVOff ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void SetTwistW (int)
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual int GetTwistW ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void TwistWOn ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void TwistWOff ()
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual void SetClockwiseOrdering (int)
 Set/Get the flag which determines the ordering of the the vertices forming the triangle strips. More...
 
virtual int GetClockwiseOrdering ()
 Set/Get the flag which determines the ordering of the the vertices forming the triangle strips. More...
 
virtual void ClockwiseOrderingOn ()
 Set/Get the flag which determines the ordering of the the vertices forming the triangle strips. More...
 
virtual void ClockwiseOrderingOff ()
 Set/Get the flag which determines the ordering of the the vertices forming the triangle strips. More...
 
virtual void SetDerivativesAvailable (int)
 Set/Get the flag which determines whether derivatives are available from the parametric function (i.e., whether the Evaluate() method returns valid derivatives). More...
 
virtual int GetDerivativesAvailable ()
 Set/Get the flag which determines whether derivatives are available from the parametric function (i.e., whether the Evaluate() method returns valid derivatives). More...
 
virtual void DerivativesAvailableOn ()
 Set/Get the flag which determines whether derivatives are available from the parametric function (i.e., whether the Evaluate() method returns valid derivatives). More...
 
virtual void DerivativesAvailableOff ()
 Set/Get the flag which determines whether derivatives are available from the parametric function (i.e., whether the Evaluate() method returns valid derivatives). More...
 
- Public Member Functions inherited from vtkObject
 vtkBaseTypeMacro (vtkObject, vtkObjectBase)
 
virtual void DebugOn ()
 Turn debugging output on. More...
 
virtual void DebugOff ()
 Turn debugging output off. More...
 
bool GetDebug ()
 Get the value of the debug flag. More...
 
void SetDebug (bool debugFlag)
 Set the value of the debug flag. More...
 
virtual void Modified ()
 Update the modification time for this object. More...
 
virtual vtkMTimeType GetMTime ()
 Return this object's modified time. More...
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
void RemoveObserver (unsigned long tag)
 
void RemoveObservers (unsigned long event)
 
void RemoveObservers (const char *event)
 
void RemoveAllObservers ()
 
int HasObserver (unsigned long event)
 
int HasObserver (const char *event)
 
int InvokeEvent (unsigned long event)
 
int InvokeEvent (const char *event)
 
unsigned long AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
unsigned long AddObserver (const char *event, vtkCommand *, float priority=0.0f)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
vtkCommandGetCommand (unsigned long tag)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObserver (vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObservers (unsigned long event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObservers (const char *event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
int HasObserver (unsigned long event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
int HasObserver (const char *event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f)
 Overloads to AddObserver that allow developers to add class member functions as callbacks for events. More...
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, void(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f)
 Overloads to AddObserver that allow developers to add class member functions as callbacks for events. More...
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, bool(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f)
 Allow user to set the AbortFlagOn() with the return value of the callback method. More...
 
int InvokeEvent (unsigned long event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
int InvokeEvent (const char *event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
- Public Member Functions inherited from vtkObjectBase
const char * GetClassName () const
 Return the class name as a string. More...
 
virtual void Delete ()
 Delete a VTK object. More...
 
virtual void FastDelete ()
 Delete a reference to this object. More...
 
void InitializeObjectBase ()
 
void Print (ostream &os)
 Print an object to an ostream. More...
 
virtual void Register (vtkObjectBase *o)
 Increase the reference count (mark as used by another object). More...
 
virtual void UnRegister (vtkObjectBase *o)
 Decrease the reference count (release by another object). More...
 
int GetReferenceCount ()
 Return the current reference count of this object. More...
 
void SetReferenceCount (int)
 Sets the reference count. More...
 
void PrintRevisions (ostream &)
 Legacy. More...
 
virtual void PrintHeader (ostream &os, vtkIndent indent)
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void PrintTrailer (ostream &os, vtkIndent indent)
 Methods invoked by print to print information about the object including superclasses. More...
 

Static Public Member Functions

static int IsTypeOf (const char *type)
 
static vtkParametricFigure8KleinSafeDownCast (vtkObjectBase *o)
 
static vtkParametricFigure8KleinNew ()
 Construct a figure-8 Klein Bottle with the following parameters: MinimumU = -Pi, MaximumU = Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 1, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 0, DerivativesAvailable = 1, Radius = 1. More...
 
- Static Public Member Functions inherited from vtkParametricFunction
static int IsTypeOf (const char *type)
 
static vtkParametricFunctionSafeDownCast (vtkObjectBase *o)
 
- Static Public Member Functions inherited from vtkObject
static vtkObjectNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 
static void BreakOnError ()
 This method is called when vtkErrorMacro executes. More...
 
static void SetGlobalWarningDisplay (int val)
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static void GlobalWarningDisplayOn ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static void GlobalWarningDisplayOff ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static int GetGlobalWarningDisplay ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
- Static Public Member Functions inherited from vtkObjectBase
static vtkTypeBool IsTypeOf (const char *name)
 Return 1 if this class type is the same type of (or a subclass of) the named class. More...
 
static vtkObjectBaseNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkParametricFigure8Klein ()
 
 ~vtkParametricFigure8Klein () override
 
- Protected Member Functions inherited from vtkParametricFunction
 vtkParametricFunction ()
 
 ~vtkParametricFunction () override
 
- Protected Member Functions inherited from vtkObject
 vtkObject ()
 
 ~vtkObject () override
 
void RegisterInternal (vtkObjectBase *, vtkTypeBool check) override
 
void UnRegisterInternal (vtkObjectBase *, vtkTypeBool check) override
 
void InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=NULL)
 These methods allow a command to exclusively grab all events. More...
 
void InternalReleaseFocus ()
 These methods allow a command to exclusively grab all events. More...
 
- Protected Member Functions inherited from vtkObjectBase
 vtkObjectBase ()
 
virtual ~vtkObjectBase ()
 
virtual void CollectRevisions (ostream &)
 
virtual void ReportReferences (vtkGarbageCollector *)
 
 vtkObjectBase (const vtkObjectBase &)
 
void operator= (const vtkObjectBase &)
 

Protected Attributes

double Radius
 
- Protected Attributes inherited from vtkParametricFunction
double MinimumU
 
double MaximumU
 
double MinimumV
 
double MaximumV
 
double MinimumW
 
double MaximumW
 
int JoinU
 
int JoinV
 
int JoinW
 
int TwistU
 
int TwistV
 
int TwistW
 
int ClockwiseOrdering
 
int DerivativesAvailable
 
- Protected Attributes inherited from vtkObject
bool Debug
 
vtkTimeStamp MTime
 
vtkSubjectHelper * SubjectHelper
 
- Protected Attributes inherited from vtkObjectBase
vtkAtomicInt32 ReferenceCount
 
vtkWeakPointerBase ** WeakPointers
 

Detailed Description

Generate a figure-8 Klein bottle.

vtkParametricFigure8Klein generates a figure-8 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 $F:R^2 \rightarrow R^4$ given by:

This representation of the immersion in $R^3$ is formed by taking two Mobius strips and joining them along their boundaries, this is the so called "Figure-8 Klein Bottle"

For further information about this surface, please consult the technical description "Parametric surfaces" in http://www.vtk.org/publications in the "VTK Technical Documents" section in the VTk.org web pages.

Thanks:
Andrew Maclean andre.nosp@m.w.am.nosp@m.aclea.nosp@m.n@gm.nosp@m.ail.c.nosp@m.om for creating and contributing the class.
Tests:
vtkParametricFigure8Klein (Tests)

Definition at line 49 of file vtkParametricFigure8Klein.h.

Member Typedef Documentation

Definition at line 53 of file vtkParametricFigure8Klein.h.

Constructor & Destructor Documentation

vtkParametricFigure8Klein::vtkParametricFigure8Klein ( )
protected
vtkParametricFigure8Klein::~vtkParametricFigure8Klein ( )
overrideprotected

Member Function Documentation

static int vtkParametricFigure8Klein::IsTypeOf ( const char *  type)
static
virtual int vtkParametricFigure8Klein::IsA ( const char *  name)
virtual

Return 1 if this class is the same type of (or a subclass of) the named class.

Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkParametricFunction.

static vtkParametricFigure8Klein* vtkParametricFigure8Klein::SafeDownCast ( vtkObjectBase o)
static
virtual vtkObjectBase* vtkParametricFigure8Klein::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkParametricFunction.

vtkParametricFigure8Klein* vtkParametricFigure8Klein::NewInstance ( ) const
void vtkParametricFigure8Klein::PrintSelf ( ostream &  os,
vtkIndent  indent 
)
overridevirtual

Methods invoked by print to print information about the object including superclasses.

Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from vtkObjectBase.

static vtkParametricFigure8Klein* vtkParametricFigure8Klein::New ( )
static

Construct a figure-8 Klein Bottle with the following parameters: MinimumU = -Pi, MaximumU = Pi, MinimumV = -Pi, MaximumV = Pi, JoinU = 1, JoinV = 1, TwistU = 0, TwistV = 0, ClockwiseOrdering = 0, DerivativesAvailable = 1, Radius = 1.

virtual void vtkParametricFigure8Klein::SetRadius ( double  )
virtual

Set/Get the radius of the bottle.

Default is 1.

virtual double vtkParametricFigure8Klein::GetRadius ( )
virtual

Set/Get the radius of the bottle.

Default is 1.

int vtkParametricFigure8Klein::GetDimension ( )
inlineoverridevirtual

Return the parametric dimension of the class.

Implements vtkParametricFunction.

Definition at line 79 of file vtkParametricFigure8Klein.h.

void vtkParametricFigure8Klein::Evaluate ( double  uvw[3],
double  Pt[3],
double  Duvw[9] 
)
overridevirtual

A Figure-8 Klein bottle.

This function performs the mapping $f(u,v) \rightarrow (x,y,x)$, returning it as Pt. It also returns the partial derivatives Du and Dv. $Pt = (x, y, z), Du = (dx/du, dy/du, dz/du), Dv = (dx/dv, dy/dv, dz/dv)$ . Then the normal is $N = Du X Dv$ .

Implements vtkParametricFunction.

double vtkParametricFigure8Klein::EvaluateScalar ( double  uvw[3],
double  Pt[3],
double  Duvw[9] 
)
overridevirtual

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.

Member Data Documentation

double vtkParametricFigure8Klein::Radius
protected

Definition at line 112 of file vtkParametricFigure8Klein.h.


The documentation for this class was generated from the following file: