vtkParametricKlein Class Reference

#include <vtkParametricKlein.h>

Inheritance diagram for vtkParametricKlein:

[legend]Collaboration diagram for vtkParametricKlein:

[legend]List of all members.

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/documents.php in the "VTK Technical Documents" section in the VTk.org web pages.

Thanks:: Andrew Maclean a.maclean@cas.edu.au for creating and contributing the class.

Tests:: vtkParametricKlein (Tests)

Definition at line 47 of file vtkParametricKlein.h.

Public Types

typedef vtkParametricFunction Superclass

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])

Static Public Member Functions

static int IsTypeOf (const char *type)

static vtkParametricKlein * SafeDownCast (vtkObject *o)

static vtkParametricKlein * New ()

Protected Member Functions

vtkParametricKlein ()

~vtkParametricKlein ()

Member Typedef Documentation

typedef vtkParametricFunction vtkParametricKlein::Superclass

Reimplemented from vtkParametricFunction.
Definition at line 50 of file vtkParametricKlein.h.

Constructor & Destructor Documentation

vtkParametricKlein::vtkParametricKlein ( ) [protected]

vtkParametricKlein::~vtkParametricKlein ( ) [protected]

Member Function Documentation

virtual const char* vtkParametricKlein::GetClassName ( ) [virtual]

Reimplemented from vtkParametricFunction.

static int vtkParametricKlein::IsTypeOf ( const char * type ) [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 vtkTypeRevisionMacro found in vtkSetGet.h.
Reimplemented from vtkParametricFunction.

virtual int vtkParametricKlein::IsA ( const char * type ) [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 vtkTypeRevisionMacro found in vtkSetGet.h.
Reimplemented from vtkParametricFunction.

static vtkParametricKlein* vtkParametricKlein::SafeDownCast ( vtkObject * o ) [static]

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 60 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 $f(u,v) \rightarrow (x,y,x)$ , 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.

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.

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

dox/Common/vtkParametricKlein.h

Generated on Tue Jan 22 00:05:50 2008 for VTK by

1.4.3-20050530


Public Types
typedef vtkParametricFunction	Superclass
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])
Static Public Member Functions
static int	IsTypeOf (const char *type)
static vtkParametricKlein *	SafeDownCast (vtkObject *o)
static vtkParametricKlein *	New ()
Protected Member Functions
	vtkParametricKlein ()
	~vtkParametricKlein ()