vtkParametricFigure8Klein Class Reference

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

#include <vtkParametricFigure8Klein.h>

Inheritance diagram for vtkParametricFigure8Klein:

Collaboration diagram for vtkParametricFigure8Klein:

List of all members.

Public Types
typedef vtkParametricFunction	Superclass
Public Member Functions
virtual int	IsA (const char *type)
vtkParametricFigure8Klein *	NewInstance () const
void	PrintSelf (ostream &os, vtkIndent indent)
virtual int	GetDimension ()
virtual void	Evaluate (double uvw[3], double Pt[3], double Duvw[9])
virtual double	EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9])
virtual void	SetRadius (double)
virtual double	GetRadius ()
Static Public Member Functions
static int	IsTypeOf (const char *type)
static vtkParametricFigure8Klein *	SafeDownCast (vtkObjectBase *o)
static vtkParametricFigure8Klein *	New ()
Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const
	vtkParametricFigure8Klein ()
	~vtkParametricFigure8Klein ()
Protected Attributes
double	Radius

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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 given by:

• 

This representation of the immersion in 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/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:

vtkParametricFigure8Klein (Tests)

Definition at line 48 of file vtkParametricFigure8Klein.h.

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Member Typedef Documentation

typedef vtkParametricFunction vtkParametricFigure8Klein::Superclass

Reimplemented from vtkParametricFunction.

Definition at line 51 of file vtkParametricFigure8Klein.h.

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Constructor & Destructor Documentation

vtkParametricFigure8Klein::vtkParametricFigure8Klein

(

)

[protected]

vtkParametricFigure8Klein::~vtkParametricFigure8Klein

(

)

[protected]

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Member Function Documentation

static int vtkParametricFigure8Klein::IsTypeOf

(

const char *

name

)

[static]

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.

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]

Reimplemented from vtkParametricFunction.

virtual vtkObjectBase* vtkParametricFigure8Klein::NewInstanceInternal

(

)

const [protected, virtual]

Reimplemented from vtkParametricFunction.

vtkParametricFigure8Klein* vtkParametricFigure8Klein::NewInstance

(

)

const

Reimplemented from vtkParametricFunction.

void vtkParametricFigure8Klein::PrintSelf	(	ostream &	os,
		vtkIndent	indent
	)		[virtual]

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.

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 = 1, DerivativesAvailable = 1, Radius = 1

Reimplemented from vtkObject.

virtual void vtkParametricFigure8Klein::SetRadius

(

double

)

[virtual]

Set/Get the radius of the bottle.

virtual double vtkParametricFigure8Klein::GetRadius

(

)

[virtual]

Set/Get the radius of the bottle.

virtual int vtkParametricFigure8Klein::GetDimension

(

)

[inline, virtual]

Return the parametric dimension of the class.

Implements vtkParametricFunction.

Definition at line 67 of file vtkParametricFigure8Klein.h.

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

A Figure-8 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.

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

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Member Data Documentation

double vtkParametricFigure8Klein::Radius [protected]

Definition at line 91 of file vtkParametricFigure8Klein.h.

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

• dox/Common/ComputationalGeometry/vtkParametricFigure8Klein.h