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vtkImplicitFunction Class Reference

abstract interface for implicit functions More...

#include <vtkImplicitFunction.h>

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List of all members.

Public Types

typedef vtkObject Superclass

Public Member Functions

virtual int IsA (const char *type)
vtkImplicitFunctionNewInstance () const
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])
doubleFunctionGradient (const double x[3])
doubleFunctionGradient (double x, double y, double z)
virtual void SetTransform (vtkAbstractTransform *)
virtual void SetTransform (const double elements[16])
virtual vtkAbstractTransformGetTransform ()
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 vtkImplicitFunctionSafeDownCast (vtkObjectBase *o)

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 vtkImplicitFunction ()
 ~vtkImplicitFunction ()

Protected Attributes

vtkAbstractTransformTransform
double ReturnValue [3]

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 57 of file vtkImplicitFunction.h.


Member Typedef Documentation


Constructor & Destructor Documentation


Member Function Documentation

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

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

virtual vtkObjectBase* vtkImplicitFunction::NewInstanceInternal ( ) const [protected, virtual]
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 vtkImplicitSelectionLoop, vtkPlanes, vtkSuperquadric, vtkPlanesIntersection, vtkImplicitPolyDataDistance, vtkImplicitDataSet, vtkImplicitBoolean, vtkImplicitVolume, vtkCone, vtkPerlinNoise, vtkPolyPlane, vtkImplicitSum, vtkImplicitWindowFunction, vtkBox, vtkImplicitHalo, vtkPlane, vtkCylinder, vtkSphere, and vtkQuadric.

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 vtkImplicitSelectionLoop, vtkImplicitWindowFunction, vtkImplicitBoolean, vtkPolyPlane, vtkImplicitDataSet, vtkImplicitVolume, vtkImplicitSum, and vtkImplicitPolyDataDistance.

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

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

Definition at line 71 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).

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

Definition at line 79 of file vtkImplicitFunction.h.

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

Definition at line 82 of file vtkImplicitFunction.h.

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.

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

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

Definition at line 100 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 vtkImplicitSelectionLoop, vtkImplicitBoolean, vtkImplicitDataSet, vtkImplicitVolume, vtkPlanes, vtkSuperquadric, vtkImplicitPolyDataDistance, vtkPerlinNoise, vtkCone, vtkImplicitWindowFunction, vtkBox, vtkImplicitSum, vtkPolyPlane, vtkImplicitHalo, vtkCylinder, vtkPlane, vtkSphere, and vtkQuadric.


Member Data Documentation

Definition at line 114 of file vtkImplicitFunction.h.

Definition at line 115 of file vtkImplicitFunction.h.


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