vtkParametricCrossCap Class Reference

Generate a cross-cap. More...

#include <vtkParametricCrossCap.h>

Inheritance diagram for vtkParametricCrossCap:

Collaboration diagram for vtkParametricCrossCap:

List of all members.

Public Types
typedef vtkParametricFunction	Superclass
Public Member Functions
virtual int	IsA (const char *type)
vtkParametricCrossCap *	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])
Static Public Member Functions
static int	IsTypeOf (const char *type)
static vtkParametricCrossCap *	SafeDownCast (vtkObjectBase *o)
static vtkParametricCrossCap *	New ()
Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const
	vtkParametricCrossCap ()
	~vtkParametricCrossCap ()

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Detailed Description

Generate a cross-cap.

vtkParametricCrossCap generates a cross-cap which is a non-orientable self-intersecting single-sided surface. This is one possible image of a projective plane in three-space.

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:

vtkParametricCrossCap (Tests)

Definition at line 41 of file vtkParametricCrossCap.h.

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Member Typedef Documentation

typedef vtkParametricFunction vtkParametricCrossCap::Superclass

Reimplemented from vtkParametricFunction.

Definition at line 45 of file vtkParametricCrossCap.h.

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Constructor & Destructor Documentation

vtkParametricCrossCap::vtkParametricCrossCap

(

)

[protected]

vtkParametricCrossCap::~vtkParametricCrossCap

(

)

[protected]

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Member Function Documentation

static int vtkParametricCrossCap::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 vtkParametricCrossCap::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 vtkParametricCrossCap* vtkParametricCrossCap::SafeDownCast

(

vtkObjectBase *

o

)

[static]

Reimplemented from vtkParametricFunction.

virtual vtkObjectBase* vtkParametricCrossCap::NewInstanceInternal

(

)

const [protected, virtual]

Reimplemented from vtkParametricFunction.

vtkParametricCrossCap* vtkParametricCrossCap::NewInstance

(

)

const

Reimplemented from vtkParametricFunction.

void vtkParametricCrossCap::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 vtkParametricCrossCap* vtkParametricCrossCap::New

(

)

[static]

Construct a cross-cap with the following parameters: MinimumU = 0, MaximumU = Pi, MinimumV = 0, MaximumV = Pi, JoinU = 1, JoinV = 1, TwistU = 1, TwistV = 1; ClockwiseOrdering = 1, DerivativesAvailable = 1

Reimplemented from vtkObject.

virtual int vtkParametricCrossCap::GetDimension

(

)

[inline, virtual]

Return the parametric dimension of the class.

Implements vtkParametricFunction.

Definition at line 55 of file vtkParametricCrossCap.h.

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

A cross-cap. 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 vtkParametricCrossCap::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/vtkParametricCrossCap.h