vtkImplicitFunction Class Reference

#include <vtkImplicitFunction.h>

Inheritance diagram for vtkImplicitFunction:

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Collaboration diagram for vtkImplicitFunction:

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List of all members.

Detailed Description

abstract interface for implicit functions

vtkImplicitFunction specifies an abstract interface for implicit functions. Implicit functions are real valued functions defined in 3D space, w = F(x,y,z). Two primitive operations are required: the ability to evaluate the function, and the function gradient at a given point. The implicit function divides space into three regions: on the surface (F(x,y,z)=w), outside of the surface (F(x,y,z)>c), and inside the surface (F(x,y,z)<c). (When c is zero, positive values are outside, negative values are inside, and zero is on the surface. Note also that the function gradient points from inside to outside.)

Implicit functions are very powerful. It is possible to represent almost any type of geometry with the level sets w = const, especially if you use boolean combinations of implicit functions (see vtkImplicitBoolean).

vtkImplicitFunction provides a mechanism to transform the implicit function(s) via a vtkAbstractTransform. This capability can be used to translate, orient, scale, or warp implicit functions. For example, a sphere implicit function can be transformed into an oriented ellipse.

Warning:: The transformation transforms a point into the space of the implicit function (i.e., the model space). Typically we want to transform the implicit model into world coordinates. In this case the inverse of the transformation is required.

See also:: vtkAbstractTransform vtkSphere vtkCylinder vtkImplicitBoolean vtkPlane vtkPlanes vtkQuadric vtkImplicitVolume vtkSampleFunction vtkCutter vtkClipPolyData

Definition at line 56 of file vtkImplicitFunction.h.


Public Types
typedef vtkObject	Superclass
Public Member Functions
virtual const char *	GetClassName ()
virtual int	IsA (const char *type)
void	PrintSelf (ostream &os, vtkIndent indent)
unsigned long	GetMTime ()
virtual void	EvaluateGradient (double x[3], double g[3])=0

double	FunctionValue (const double x[3])
double	FunctionValue (double x, double y, double z)

void	FunctionGradient (const double x[3], double g[3])
double *	FunctionGradient (const double x[3])
double *	FunctionGradient (double x, double y, double z)

virtual void	SetTransform (vtkAbstractTransform *)
virtual void	SetTransform (const double elements[16])
virtual vtkAbstractTransform *	GetTransform ()

virtual double	EvaluateFunction (double x[3])=0
double	EvaluateFunction (double x, double y, double z)
Static Public Member Functions
static int	IsTypeOf (const char *type)
static vtkImplicitFunction *	SafeDownCast (vtkObject *o)
Protected Member Functions
	vtkImplicitFunction ()
	~vtkImplicitFunction ()
Protected Attributes
vtkAbstractTransform *	Transform
double	ReturnValue [3]

Member Typedef Documentation

typedef vtkObject vtkImplicitFunction::Superclass

Reimplemented from vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

Definition at line 59 of file vtkImplicitFunction.h.

Constructor & Destructor Documentation

vtkImplicitFunction::vtkImplicitFunction ( ) [protected]

vtkImplicitFunction::~vtkImplicitFunction ( ) [protected]

Member Function Documentation

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

Reimplemented from vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

static int vtkImplicitFunction::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 vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

virtual int vtkImplicitFunction::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 vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

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

Reimplemented from vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

void vtkImplicitFunction::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 vtkObject.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkPlanesIntersection, vtkSphere, and vtkSuperquadric.

unsigned long vtkImplicitFunction::GetMTime ( ) [virtual]

Overload standard modified time function. If Transform is modified, then this object is modified as well.

Reimplemented from vtkObject.

Reimplemented in vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, and vtkImplicitWindowFunction.

double vtkImplicitFunction::FunctionValue ( const double x[3] )

Evaluate function at position x-y-z and return value. Point x[3] is transformed through transform (if provided).

double vtkImplicitFunction::FunctionValue	(	double	x,
		double	y,
		double	z
	)			`[inline]`

Evaluate function at position x-y-z and return value. Point x[3] is transformed through transform (if provided).

Definition at line 70 of file vtkImplicitFunction.h.

void vtkImplicitFunction::FunctionGradient	(	const double	x[3],
		double	g[3]
	)

Evaluate function gradient at position x-y-z and pass back vector. Point x[3] is transformed through transform (if provided).

double* vtkImplicitFunction::FunctionGradient ( const double x[3] ) [inline]

Evaluate function gradient at position x-y-z and pass back vector. Point x[3] is transformed through transform (if provided).

Definition at line 78 of file vtkImplicitFunction.h.

double* vtkImplicitFunction::FunctionGradient	(	double	x,
		double	y,
		double	z
	)			`[inline]`

Evaluate function gradient at position x-y-z and pass back vector. Point x[3] is transformed through transform (if provided).

Definition at line 81 of file vtkImplicitFunction.h.

virtual void vtkImplicitFunction::SetTransform ( vtkAbstractTransform * ) [virtual]

Set/Get a transformation to apply to input points before executing the implicit function.

virtual void vtkImplicitFunction::SetTransform ( const double elements[16] ) [virtual]

Set/Get a transformation to apply to input points before executing the implicit function.

virtual vtkAbstractTransform* vtkImplicitFunction::GetTransform ( ) [virtual]

Set/Get a transformation to apply to input points before executing the implicit function.

virtual double vtkImplicitFunction::EvaluateFunction ( double x[3] ) [pure virtual]

Evaluate function at position x-y-z and return value. You should generally not call this method directly, you should use FunctionValue() instead. This method must be implemented by any derived class.

Implemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

double vtkImplicitFunction::EvaluateFunction	(	double	x,
		double	y,
		double	z
	)			`[inline]`

Evaluate function at position x-y-z and return value. You should generally not call this method directly, you should use FunctionValue() instead. This method must be implemented by any derived class.

Reimplemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.

Definition at line 99 of file vtkImplicitFunction.h.

virtual void vtkImplicitFunction::EvaluateGradient	(	double	x[3],
		double	g[3]
	)			`[pure virtual]`

Evaluate function gradient at position x-y-z and pass back vector. You should generally not call this method directly, you should use FunctionGradient() instead. This method must be implemented by any derived class.

Implemented in vtkBox, vtkPlane, vtkPlanes, vtkQuadric, vtkCone, vtkCylinder, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitHalo, vtkImplicitSelectionLoop, vtkImplicitSum, vtkImplicitVolume, vtkImplicitWindowFunction, vtkPerlinNoise, vtkSphere, and vtkSuperquadric.