vtkParametricKlein Class Reference

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

#include <vtkParametricKlein.h>

Inheritance diagram for vtkParametricKlein:

Collaboration diagram for vtkParametricKlein:

List of all members.

Public Types
typedef vtkParametricFunction	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.
virtual void	Evaluate (double uvw[3], double Pt[3], double Duvw[9])
virtual double	EvaluateScalar (double uvw[3], double Pt[3], double Duvw[9])
Static Public Member Functions
static int	IsTypeOf (const char *type)
static vtkParametricKlein *	SafeDownCast (vtkObjectBase *o)
static vtkParametricKlein *	New ()
Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const
	vtkParametricKlein ()
	~vtkParametricKlein ()

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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 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.

Thanks:

Andrew Maclean a.mac.nosp@m.lean.nosp@m.@cas..nosp@m.edu..nosp@m.au for creating and contributing the class.

Tests:

vtkParametricKlein (Tests)

Definition at line 48 of file vtkParametricKlein.h.

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Member Typedef Documentation

typedef vtkParametricFunction vtkParametricKlein::Superclass

Reimplemented from vtkParametricFunction.

Definition at line 51 of file vtkParametricKlein.h.

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Constructor & Destructor Documentation

vtkParametricKlein::vtkParametricKlein

(

)

[protected]

vtkParametricKlein::~vtkParametricKlein

(

)

[protected]

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Member Function Documentation

static int vtkParametricKlein::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 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.

static vtkParametricKlein* vtkParametricKlein::SafeDownCast

(

vtkObjectBase *

o

)

[static]

Reimplemented from vtkParametricFunction.

virtual vtkObjectBase* vtkParametricKlein::NewInstanceInternal

(

)

const [protected, virtual]

Reimplemented from vtkParametricFunction.

vtkParametricKlein* vtkParametricKlein::NewInstance

(

)

const

Reimplemented from vtkParametricFunction.

void vtkParametricKlein::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 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 = 1, DerivativesAvailable = 1,

Reimplemented from vtkObject.

virtual int vtkParametricKlein::GetDimension

(

)

[inline, virtual]

Initialise the parameters for the Klein bottle.

Return the parametric dimension of the class.

Implements vtkParametricFunction.

Definition at line 61 of file vtkParametricKlein.h.

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

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.

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

• dox/Common/ComputationalGeometry/vtkParametricKlein.h