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vtkParametricKlein Class Reference

Generates a "classical" representation of a Klein bottle. More...

#include <vtkParametricKlein.h>

Inheritance diagram for vtkParametricKlein:
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Collaboration diagram for vtkParametricKlein:
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Public Types

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

Public Member Functions

virtual vtkTypeBool IsA (const char *type)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
vtkParametricKleinNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
int GetDimension () override
 Initialise the parameters for the Klein bottle. More...
 
void Evaluate (double uvw[3], double Pt[3], double Duvw[9]) override
 A 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...
 
- Public Member Functions inherited from vtkParametricFunction
vtkParametricFunctionNewInstance () const
 
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 (vtkTypeBool)
 Set/Get the flag which joins the first triangle strip to the last one. More...
 
virtual vtkTypeBool 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 (vtkTypeBool)
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual vtkTypeBool GetJoinV ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void JoinVOn ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void JoinVOff ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void SetJoinW (vtkTypeBool)
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual vtkTypeBool GetJoinW ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void JoinWOn ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void JoinWOff ()
 Set/Get the flag which joins the ends of the triangle strips. More...
 
virtual void SetTwistU (vtkTypeBool)
 Set/Get the flag which joins the first triangle strip to the last one with a twist. More...
 
virtual vtkTypeBool 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 (vtkTypeBool)
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual vtkTypeBool 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 (vtkTypeBool)
 Set/Get the flag which joins the ends of the triangle strips with a twist. More...
 
virtual vtkTypeBool 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 (vtkTypeBool)
 Set/Get the flag which determines the ordering of the vertices forming the triangle strips. More...
 
virtual vtkTypeBool GetClockwiseOrdering ()
 Set/Get the flag which determines the ordering of the vertices forming the triangle strips. More...
 
virtual void ClockwiseOrderingOn ()
 Set/Get the flag which determines the ordering of the vertices forming the triangle strips. More...
 
virtual void ClockwiseOrderingOff ()
 Set/Get the flag which determines the ordering of the vertices forming the triangle strips. More...
 
virtual void SetDerivativesAvailable (vtkTypeBool)
 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 vtkTypeBool 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 ()
 
vtkTypeBool HasObserver (unsigned long event)
 
vtkTypeBool HasObserver (const char *event)
 
vtkTypeBool InvokeEvent (unsigned long event)
 
vtkTypeBool InvokeEvent (const char *event)
 
std::string GetObjectDescription () const override
 The object description printed in messages and PrintSelf output. More...
 
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...
 
vtkTypeBool HasObserver (unsigned long event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
vtkTypeBool 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...
 
vtkTypeBool InvokeEvent (unsigned long event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
vtkTypeBool InvokeEvent (const char *event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
virtual void SetObjectName (const std::string &objectName)
 Set/get the name of this object for reporting purposes. More...
 
virtual std::string GetObjectName () const
 Set/get the name of this object for reporting purposes. More...
 
- Public Member Functions inherited from vtkObjectBase
const char * GetClassName () const
 Return the class name as a string. More...
 
virtual vtkIdType GetNumberOfGenerationsFromBase (const char *name)
 Given the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class). 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...
 
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...
 
bool GetIsInMemkind () const
 A local state flag that remembers whether this object lives in the normal or extended memory space. 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...
 
virtual bool UsesGarbageCollector () const
 Indicate whether the class uses vtkGarbageCollector or not. More...
 

Static Public Member Functions

static vtkTypeBool IsTypeOf (const char *type)
 
static vtkParametricKleinSafeDownCast (vtkObjectBase *o)
 
static vtkParametricKleinNew ()
 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 = 0, DerivativesAvailable = 1,. More...
 
- Static Public Member Functions inherited from vtkParametricFunction
static vtkTypeBool 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 (vtkTypeBool 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 vtkTypeBool 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 vtkIdType GetNumberOfGenerationsFromBaseType (const char *name)
 Given a the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class). More...
 
static vtkObjectBaseNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 
static void SetMemkindDirectory (const char *directoryname)
 The name of a directory, ideally mounted -o dax, to memory map an extended memory space within. More...
 
static bool GetUsingMemkind ()
 A global state flag that controls whether vtkObjects are constructed in the usual way (the default) or within the extended memory space. More...
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkParametricKlein ()
 
 ~vtkParametricKlein () 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=nullptr)
 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 ReportReferences (vtkGarbageCollector *)
 
 vtkObjectBase (const vtkObjectBase &)
 
void operator= (const vtkObjectBase &)
 

Additional Inherited Members

- Static Protected Member Functions inherited from vtkObjectBase
static vtkMallocingFunction GetCurrentMallocFunction ()
 
static vtkReallocingFunction GetCurrentReallocFunction ()
 
static vtkFreeingFunction GetCurrentFreeFunction ()
 
static vtkFreeingFunction GetAlternateFreeFunction ()
 
- Protected Attributes inherited from vtkParametricFunction
double MinimumU
 
double MaximumU
 
double MinimumV
 
double MaximumV
 
double MinimumW
 
double MaximumW
 
vtkTypeBool JoinU
 
vtkTypeBool JoinV
 
vtkTypeBool JoinW
 
vtkTypeBool TwistU
 
vtkTypeBool TwistV
 
vtkTypeBool TwistW
 
vtkTypeBool ClockwiseOrdering
 
vtkTypeBool DerivativesAvailable
 
- Protected Attributes inherited from vtkObject
bool Debug
 
vtkTimeStamp MTime
 
vtkSubjectHelper * SubjectHelper
 
std::string ObjectName
 
- Protected Attributes inherited from vtkObjectBase
std::atomic< int32_t > ReferenceCount
 
vtkWeakPointerBase ** WeakPointers
 

Detailed Description

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 \(F:R^2 \rightarrow R^4\) given by:

The classical representation of the immersion in \(R^3\) is returned by this function.

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.
Online Examples:

Tests:
vtkParametricKlein (Tests)

Definition at line 57 of file vtkParametricKlein.h.

Member Typedef Documentation

◆ Superclass

Definition at line 60 of file vtkParametricKlein.h.

Constructor & Destructor Documentation

◆ vtkParametricKlein()

vtkParametricKlein::vtkParametricKlein ( )
protected

◆ ~vtkParametricKlein()

vtkParametricKlein::~vtkParametricKlein ( )
overrideprotected

Member Function Documentation

◆ IsTypeOf()

static vtkTypeBool vtkParametricKlein::IsTypeOf ( const char *  type)
static

◆ IsA()

virtual vtkTypeBool vtkParametricKlein::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.

◆ SafeDownCast()

static vtkParametricKlein* vtkParametricKlein::SafeDownCast ( vtkObjectBase o)
static

◆ NewInstanceInternal()

virtual vtkObjectBase* vtkParametricKlein::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkParametricFunction.

◆ NewInstance()

vtkParametricKlein* vtkParametricKlein::NewInstance ( ) const

◆ PrintSelf()

void vtkParametricKlein::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 vtkParametricFunction.

◆ New()

static vtkParametricKlein* vtkParametricKlein::New ( )
static

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 = 0, DerivativesAvailable = 1,.

◆ GetDimension()

int vtkParametricKlein::GetDimension ( )
inlineoverridevirtual

Initialise the parameters for the Klein bottle.

Return the parametric dimension of the class.

Implements vtkParametricFunction.

Definition at line 77 of file vtkParametricKlein.h.

◆ Evaluate()

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

A 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.

◆ EvaluateScalar()

double vtkParametricKlein::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 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.


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