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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typedef vtkObject | Superclass |
Public Member Functions | |
virtual int | IsA (const char *type) |
vtkParametricKlein * | NewInstance () const |
void | PrintSelf (ostream &os, vtkIndent indent) |
virtual int | GetDimension () |
Initialise the parameters for the Klein bottle. More... | |
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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vtkParametricFunction * | NewInstance () const |
void | PrintSelf (ostream &os, vtkIndent indent) |
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 () |
Static Public Member Functions | |
static int | IsTypeOf (const char *type) |
static vtkParametricKlein * | SafeDownCast (vtkObjectBase *o) |
static vtkParametricKlein * | New () |
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static int | IsTypeOf (const char *type) |
static vtkParametricFunction * | SafeDownCast (vtkObjectBase *o) |
Protected Member Functions | |
virtual vtkObjectBase * | NewInstanceInternal () const |
vtkParametricKlein () | |
~vtkParametricKlein () | |
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vtkParametricFunction () | |
virtual | ~vtkParametricFunction () |
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 |
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 48 of file vtkParametricKlein.h.
Definition at line 51 of file vtkParametricKlein.h.
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Reimplemented from vtkParametricFunction.
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Reimplemented from vtkParametricFunction.
vtkParametricKlein* vtkParametricKlein::NewInstance | ( | ) | const |
void vtkParametricKlein::PrintSelf | ( | ostream & | os, |
vtkIndent | indent | ||
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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,
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Initialise the parameters for the Klein bottle.
Return the parametric dimension of the class.
Implements vtkParametricFunction.
Definition at line 61 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.