VTK
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Generates a "classical" representation of a Klein bottle. More...
#include <vtkParametricKlein.h>
Public Types | |
typedef vtkParametricFunction | Superclass |
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Public Member Functions | |
virtual const char * | GetClassName () |
virtual int | IsA (const char *type) |
void | PrintSelf (ostream &os, vtkIndent indent) |
virtual int | GetDimension () |
Initialise the parameters for the Klein bottle. | |
virtual void | Evaluate (double uvw[3], double Pt[3], double Duvw[9]) |
virtual double | EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9]) |
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virtual void | SetMinimumU (double) |
virtual double | GetMinimumU () |
virtual void | SetMaximumU (double) |
virtual double | GetMaximumU () |
virtual void | SetMinimumV (double) |
virtual double | GetMinimumV () |
virtual void | SetMaximumV (double) |
virtual double | GetMaximumV () |
virtual void | SetMinimumW (double) |
virtual double | GetMinimumW () |
virtual void | SetMaximumW (double) |
virtual double | GetMaximumW () |
virtual void | SetJoinU (int) |
virtual int | GetJoinU () |
virtual void | JoinUOn () |
virtual void | JoinUOff () |
virtual void | SetJoinV (int) |
virtual int | GetJoinV () |
virtual void | JoinVOn () |
virtual void | JoinVOff () |
virtual void | SetTwistU (int) |
virtual int | GetTwistU () |
virtual void | TwistUOn () |
virtual void | TwistUOff () |
virtual void | SetTwistV (int) |
virtual int | GetTwistV () |
virtual void | TwistVOn () |
virtual void | TwistVOff () |
virtual void | SetClockwiseOrdering (int) |
virtual int | GetClockwiseOrdering () |
virtual void | ClockwiseOrderingOn () |
virtual void | ClockwiseOrderingOff () |
virtual void | SetDerivativesAvailable (int) |
virtual int | GetDerivativesAvailable () |
virtual void | DerivativesAvailableOn () |
virtual void | DerivativesAvailableOff () |
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virtual void | DebugOn () |
virtual void | DebugOff () |
unsigned char | GetDebug () |
void | SetDebug (unsigned char debugFlag) |
virtual void | Modified () |
virtual unsigned long | GetMTime () |
unsigned long | AddObserver (unsigned long event, vtkCommand *, float priority=0.0f) |
unsigned long | AddObserver (const char *event, vtkCommand *, float priority=0.0f) |
vtkCommand * | GetCommand (unsigned long tag) |
void | RemoveObserver (vtkCommand *) |
void | RemoveObservers (unsigned long event, vtkCommand *) |
void | RemoveObservers (const char *event, vtkCommand *) |
int | HasObserver (unsigned long event, vtkCommand *) |
int | HasObserver (const char *event, vtkCommand *) |
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) |
template<class U , class T > | |
unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f) |
template<class U , class T > | |
unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f) |
int | InvokeEvent (unsigned long event, void *callData) |
int | InvokeEvent (const char *event, void *callData) |
int | InvokeEvent (unsigned long event) |
int | InvokeEvent (const char *event) |
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const char * | GetClassName () const |
virtual void | Delete () |
virtual void | FastDelete () |
void | Print (ostream &os) |
virtual void | Register (vtkObjectBase *o) |
virtual void | UnRegister (vtkObjectBase *o) |
void | SetReferenceCount (int) |
void | PrintRevisions (ostream &os) |
virtual void | PrintHeader (ostream &os, vtkIndent indent) |
virtual void | PrintTrailer (ostream &os, vtkIndent indent) |
int | GetReferenceCount () |
Static Public Member Functions | |
static int | IsTypeOf (const char *type) |
static vtkParametricKlein * | SafeDownCast (vtkObject *o) |
static vtkParametricKlein * | New () |
Protected Member Functions | |
vtkParametricKlein () | |
~vtkParametricKlein () | |
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vtkParametricFunction () | |
virtual | ~vtkParametricFunction () |
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vtkObject () | |
virtual | ~vtkObject () |
virtual void | RegisterInternal (vtkObjectBase *, int check) |
virtual void | UnRegisterInternal (vtkObjectBase *, int check) |
void | InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=NULL) |
void | InternalReleaseFocus () |
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vtkObjectBase () | |
virtual | ~vtkObjectBase () |
virtual void | CollectRevisions (ostream &os) |
virtual void | ReportReferences (vtkGarbageCollector *) |
vtkObjectBase (const vtkObjectBase &) | |
void | operator= (const vtkObjectBase &) |
Additional Inherited Members | |
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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 |
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unsigned char | Debug |
vtkTimeStamp | MTime |
vtkSubjectHelper * | SubjectHelper |
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int | ReferenceCount |
vtkWeakPointerBase ** | WeakPointers |
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.
Definition at line 47 of file vtkParametricKlein.h.
Reimplemented from vtkParametricFunction.
Definition at line 50 of file vtkParametricKlein.h.
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Reimplemented from vtkParametricFunction.
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Return 1 if this class type 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.
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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.
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Reimplemented from vtkParametricFunction.
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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.
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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,
Reimplemented from vtkObject.
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Initialise the parameters for the Klein bottle.
Return the parametric dimension of the class.
Implements vtkParametricFunction.
Definition at line 60 of file vtkParametricKlein.h.
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A Klein bottle. This function performs the mapping , returning it as Pt. It also returns the partial derivatives Du and Dv.
. Then the normal is
.
Implements vtkParametricFunction.
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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.