flexible, general interpolation kernels More...

#include <vtkGeneralizedKernel.h>

Inheritance diagram for vtkGeneralizedKernel:

Collaboration diagram for vtkGeneralizedKernel:

Public Types
enum	KernelStyle { RADIUS = 0 , N_CLOSEST = 1 }
	Enum used to select the interpolation basis form. More...

Public Member Functions
vtkIdType	ComputeBasis (double x[3], vtkIdList *pIds, vtkIdType ptId=0) override
	Based on the kernel style, invoke the appropriate locator method to obtain the points making up the basis.

virtual vtkIdType	ComputeWeights (double x[3], vtkIdList pIds, vtkDoubleArray prob, vtkDoubleArray *weights)=0
	Given a point x, a list of basis points pIds, and a probability weighting function prob, compute interpolation weights associated with these basis points.

vtkIdType	ComputeWeights (double x[3], vtkIdList pIds, vtkDoubleArray weights) override
	Given a point x, and a list of basis points pIds, compute interpolation weights associated with these basis points.


virtual void	SetKernelFootprint (int)
	Specify the interpolation basis style.

virtual int	GetKernelFootprint ()
	Specify the interpolation basis style.

void	SetKernelFootprintToRadius ()
	Specify the interpolation basis style.

void	SetKernelFootprintToNClosest ()
	Specify the interpolation basis style.


virtual void	SetRadius (double)
	If the interpolation basis style is Radius, then this method specifies the radius within which the basis points must lie.

virtual double	GetRadius ()
	If the interpolation basis style is Radius, then this method specifies the radius within which the basis points must lie.


virtual void	SetNumberOfPoints (int)
	If the interpolation basis style is NClosest, then this method specifies the number of the closest points used to form the interpolation basis.

virtual int	GetNumberOfPoints ()
	If the interpolation basis style is NClosest, then this method specifies the number of the closest points used to form the interpolation basis.


virtual void	SetNormalizeWeights (bool)
	Indicate whether the interpolation weights should be normalized after they are computed.

virtual bool	GetNormalizeWeights ()
	Indicate whether the interpolation weights should be normalized after they are computed.

virtual void	NormalizeWeightsOn ()
	Indicate whether the interpolation weights should be normalized after they are computed.

virtual void	NormalizeWeightsOff ()
	Indicate whether the interpolation weights should be normalized after they are computed.

Public Member Functions inherited from vtkInterpolationKernel
virtual void	Initialize (vtkAbstractPointLocator loc, vtkDataSet ds, vtkPointData *pd)
	Initialize the kernel.

virtual vtkIdType	ComputeBasis (double x[3], vtkIdList *pIds, vtkIdType ptId=0)=0
	Given a point x (and optional associated point id), determine the points around x which form an interpolation basis.

virtual vtkIdType	ComputeWeights (double x[3], vtkIdList pIds, vtkDoubleArray weights)=0
	Given a point x, and a list of basis points pIds, compute interpolation weights associated with these basis points.

	vtkAbstractTypeMacro (vtkInterpolationKernel, vtkObject)
	Standard method for type and printing.

void	PrintSelf (ostream &os, vtkIndent indent) override
	Standard method for type and printing.

virtual void	SetRequiresInitialization (bool)
	Indicate whether the kernel needs initialization.

virtual bool	GetRequiresInitialization ()
	Indicate whether the kernel needs initialization.

virtual void	RequiresInitializationOn ()
	Indicate whether the kernel needs initialization.

virtual void	RequiresInitializationOff ()
	Indicate whether the kernel needs initialization.

Public Member Functions inherited from vtkObject
	vtkBaseTypeMacro (vtkObject, vtkObjectBase)

virtual void	DebugOn ()
	Turn debugging output on.

virtual void	DebugOff ()
	Turn debugging output off.

bool	GetDebug ()
	Get the value of the debug flag.

void	SetDebug (bool debugFlag)
	Set the value of the debug flag.

virtual void	Modified ()
	Update the modification time for this object.

virtual vtkMTimeType	GetMTime ()
	Return this object's modified time.

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

void	RemoveObserver (unsigned long tag)

void	RemoveObservers (unsigned long event)

void	RemoveObservers (const char *event)

void	RemoveAllObservers ()

vtkTypeBool	HasObserver (unsigned long event)

vtkTypeBool	HasObserver (const char *event)

int	InvokeEvent (unsigned long event)

int	InvokeEvent (const char *event)

unsigned long	AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

unsigned long	AddObserver (const char event, vtkCommand , float priority=0.0f)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkCommand *	GetCommand (unsigned long tag)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObserver (vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObservers (unsigned long event, vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObservers (const char event, vtkCommand )
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkTypeBool	HasObserver (unsigned long event, vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkTypeBool	HasObserver (const char event, vtkCommand )
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f)
	Overloads to AddObserver that allow developers to add class member functions as callbacks for events.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, void(T::callback)(vtkObject , unsigned long, void *), float priority=0.0f)
	Overloads to AddObserver that allow developers to add class member functions as callbacks for events.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, bool(T::callback)(vtkObject , unsigned long, void *), float priority=0.0f)
	Allow user to set the AbortFlagOn() with the return value of the callback method.

int	InvokeEvent (unsigned long event, void *callData)
	This method invokes an event and return whether the event was aborted or not.

int	InvokeEvent (const char event, void callData)
	This method invokes an event and return whether the event was aborted or not.

Public Member Functions inherited from vtkObjectBase
const char *	GetClassName () const
	Return the class name as a string.

virtual vtkTypeBool	IsA (const char *name)
	Return 1 if this class is the same type of (or a subclass of) the named class.

virtual vtkIdType	GetNumberOfGenerationsFromBase (const char *name)
	Given the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class).

virtual void	Delete ()
	Delete a VTK object.

virtual void	FastDelete ()
	Delete a reference to this object.

void	InitializeObjectBase ()

void	Print (ostream &os)
	Print an object to an ostream.

virtual void	Register (vtkObjectBase *o)
	Increase the reference count (mark as used by another object).

virtual void	UnRegister (vtkObjectBase *o)
	Decrease the reference count (release by another object).

int	GetReferenceCount ()
	Return the current reference count of this object.

void	SetReferenceCount (int)
	Sets the reference count.

bool	GetIsInMemkind () const
	A local state flag that remembers whether this object lives in the normal or extended memory space.

virtual void	PrintHeader (ostream &os, vtkIndent indent)
	Methods invoked by print to print information about the object including superclasses.

virtual void	PrintTrailer (ostream &os, vtkIndent indent)
	Methods invoked by print to print information about the object including superclasses.

Protected Member Functions
	vtkGeneralizedKernel ()

	~vtkGeneralizedKernel () override

Protected Member Functions inherited from vtkInterpolationKernel
	vtkInterpolationKernel ()

	~vtkInterpolationKernel () override

virtual void	FreeStructures ()

Protected Member Functions inherited from vtkObject
	vtkObject ()

	~vtkObject () override

void	RegisterInternal (vtkObjectBase *, vtkTypeBool check) override

void	UnRegisterInternal (vtkObjectBase *, vtkTypeBool check) override

void	InternalGrabFocus (vtkCommand mouseEvents, vtkCommand keypressEvents=nullptr)
	These methods allow a command to exclusively grab all events.

void	InternalReleaseFocus ()
	These methods allow a command to exclusively grab all events.

Protected Member Functions inherited from vtkObjectBase
	vtkObjectBase ()

virtual	~vtkObjectBase ()

virtual void	RegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	UnRegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	ReportReferences (vtkGarbageCollector *)

	vtkObjectBase (const vtkObjectBase &)

void	operator= (const vtkObjectBase &)

Protected Attributes
int	KernelFootprint

double	Radius

int	NumberOfPoints

bool	NormalizeWeights

Protected Attributes inherited from vtkInterpolationKernel
bool	RequiresInitialization

vtkAbstractPointLocator *	Locator

vtkDataSet *	DataSet

vtkPointData *	PointData

Protected Attributes inherited from vtkObject
bool	Debug

vtkTimeStamp	MTime

vtkSubjectHelper *	SubjectHelper

Protected Attributes inherited from vtkObjectBase
std::atomic< int32_t >	ReferenceCount

vtkWeakPointerBase **	WeakPointers

typedef vtkInterpolationKernel	Superclass
	Standard methods for type and printing.

static vtkTypeBool	IsTypeOf (const char *type)
	Standard methods for type and printing.

static vtkGeneralizedKernel *	SafeDownCast (vtkObjectBase *o)
	Standard methods for type and printing.

virtual vtkTypeBool	IsA (const char *type)
	Standard methods for type and printing.

vtkGeneralizedKernel *	NewInstance () const
	Standard methods for type and printing.

void	PrintSelf (ostream &os, vtkIndent indent) override
	Standard methods for type and printing.

virtual vtkObjectBase *	NewInstanceInternal () const
	Standard methods for type and printing.

Additional Inherited Members
Static Public Member Functions inherited from vtkObject
static vtkObject *	New ()
	Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

static void	BreakOnError ()
	This method is called when vtkErrorMacro executes.

static void	SetGlobalWarningDisplay (int val)
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOn ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOff ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static int	GetGlobalWarningDisplay ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

Static Public Member Functions inherited from vtkObjectBase
static vtkTypeBool	IsTypeOf (const char *name)
	Return 1 if this class type is the same type of (or a subclass of) the named class.

static vtkIdType	GetNumberOfGenerationsFromBaseType (const char *name)
	Given a the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class).

static vtkObjectBase *	New ()
	Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

static void	SetMemkindDirectory (const char *directoryname)
	The name of a directory, ideally mounted -o dax, to memory map an extended memory space within.

static bool	GetUsingMemkind ()
	A global state flag that controls whether vtkObjects are constructed in the usual way (the default) or within the extended memory space.

Static Protected Member Functions inherited from vtkObjectBase
static vtkMallocingFunction	GetCurrentMallocFunction ()

static vtkReallocingFunction	GetCurrentReallocFunction ()

static vtkFreeingFunction	GetCurrentFreeFunction ()

static vtkFreeingFunction	GetAlternateFreeFunction ()

Detailed Description

flexible, general interpolation kernels

vtkGeneralizedKernel is an abstract class that defines an API for concrete general-purpose, kernel subclasses. vtkGeneralizedKernels has important properties that make them useful in a variety of interpolation applications:

1. The weights are normalized.
2. The footprint of the basis is configurable.
3. Probabilistic weighting functions can be used to favor certain weights.

The following paragraphs describe each of these properties in more detail.

Normalized weightings simple mean Sum(w_i) = 1. This ensures that the interpolation process is well behaved.

The interpolation footprint is the set of points that are used to perform the interpolation process. For example, it is possible to choose between a radius-based kernel selection, and one based on the N nearest neighbors. Note that the performance and mathematical properties of kernels may vary greatly depending on which kernel style is selected. For example, if a radius-based kernel footprint is used, and the radius is too big, the algorithm can perform in n^3 fashion.

Finally, in advanced usage, probability functions can be applied to the interpolation weights (prior to normalization). These probability functions are confidence estimates that the data at a particular point is accurate. A typical application is when laser scans are used to acquire point measurements, which return normals that indicate glancing returns versus direct, near orthogonal hits. Another use is when point clouds are combined, where some clouds are acquired with more accurate, detailed devices versus a broad, potentially coarser acquisition process.

Warning: Some kernels, like the Voronoi kernel, cannot be subclasses of this class because their definition inherently defines the basis style. For example, the Voronoi kernel is simply the single closest point. SPH kernels are similar, because they implicitly depend on a particle distribution consistent with simulation constraints such as conservation of mass, etc.

See also: vtkPointInterpolator vtkPointInterpolator2D vtkGaussianKernel vtkSPHKernel vtkShepardKernel vtkLinearKernel vtkVoronoiKernel

Definition at line 69 of file vtkGeneralizedKernel.h.

Member Typedef Documentation

◆ Superclass

typedef vtkInterpolationKernel vtkGeneralizedKernel::Superclass

Standard methods for type and printing.

Definition at line 76 of file vtkGeneralizedKernel.h.

Member Enumeration Documentation

◆ KernelStyle

enum vtkGeneralizedKernel::KernelStyle

Enum used to select the interpolation basis form.

By default, a Radius form is used (i.e., the basis is defined from all points within a specified radius). However, it is also possible to select the N closest points (NClosest).

Enumerator
RADIUS
N_CLOSEST

Definition at line 129 of file vtkGeneralizedKernel.h.

Constructor & Destructor Documentation

◆ vtkGeneralizedKernel()

vtkGeneralizedKernel::vtkGeneralizedKernel ( )

protected

◆ ~vtkGeneralizedKernel()

vtkGeneralizedKernel::~vtkGeneralizedKernel ( )

overrideprotected

Member Function Documentation

◆ IsTypeOf()

static vtkTypeBool vtkGeneralizedKernel::IsTypeOf ( const char * type )

static

Standard methods for type and printing.

◆ IsA()

virtual vtkTypeBool vtkGeneralizedKernel::IsA ( const char * type )

virtual

Standard methods for type and printing.

Reimplemented from vtkObjectBase.

Reimplemented in vtkEllipsoidalGaussianKernel, vtkGaussianKernel, vtkLinearKernel, vtkProbabilisticVoronoiKernel, and vtkShepardKernel.

◆ SafeDownCast()

static vtkGeneralizedKernel * vtkGeneralizedKernel::SafeDownCast ( vtkObjectBase * o )

static

Standard methods for type and printing.

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkGeneralizedKernel::NewInstanceInternal ( ) const

protectedvirtual

Standard methods for type and printing.

Reimplemented in vtkEllipsoidalGaussianKernel, vtkGaussianKernel, vtkLinearKernel, vtkProbabilisticVoronoiKernel, and vtkShepardKernel.

◆ NewInstance()

vtkGeneralizedKernel * vtkGeneralizedKernel::NewInstance ( ) const

Standard methods for type and printing.

◆ PrintSelf()

void vtkGeneralizedKernel::PrintSelf	(	ostream &	os,
		vtkIndent	indent
	)

overridevirtual

Standard methods for type and printing.

Reimplemented from vtkObject.

Reimplemented in vtkLinearKernel, vtkProbabilisticVoronoiKernel, and vtkShepardKernel.

◆ ComputeBasis()

vtkIdType vtkGeneralizedKernel::ComputeBasis	(	double	x[3],
		vtkIdList *	pIds,
		vtkIdType	ptId = `0`
	)

overridevirtual

Based on the kernel style, invoke the appropriate locator method to obtain the points making up the basis.

Given a point x (and optional associated point id), determine the points around x which form an interpolation basis. The user must provide the vtkIdList pIds, which will be dynamically resized as necessary. The method returns the number of points in the basis. Typically this method is called before ComputeWeights(). Note that ptId is optional in most cases, although in some kernels it is used to facilitate basis computation.

Implements vtkInterpolationKernel.

◆ ComputeWeights() [1/2]

virtual vtkIdType vtkGeneralizedKernel::ComputeWeights	(	double	x[3],
		vtkIdList *	pIds,
		vtkDoubleArray *	prob,
		vtkDoubleArray *	weights
	)

pure virtual

Given a point x, a list of basis points pIds, and a probability weighting function prob, compute interpolation weights associated with these basis points.

Note that basis points list pIds, the probability weighting prob, and the weights array are provided by the caller of the method, and may be dynamically resized as necessary. The method returns the number of weights (pIds may be resized in some cases). Typically this method is called after ComputeBasis(), although advanced users can invoke ComputeWeights() and provide the interpolation basis points pIds directly. The probably weighting prob are numbers 0<=prob<=1 which are multiplied against the interpolation weights before normalization. They are estimates of local confidence of weights. The prob may be nullptr in which all probabilities are considered =1.

Implemented in vtkEllipsoidalGaussianKernel, vtkGaussianKernel, vtkLinearKernel, vtkProbabilisticVoronoiKernel, vtkShepardKernel, vtkEllipsoidalGaussianKernel, vtkGaussianKernel, vtkLinearKernel, vtkProbabilisticVoronoiKernel, and vtkShepardKernel.

◆ ComputeWeights() [2/2]

vtkIdType vtkGeneralizedKernel::ComputeWeights	(	double	x[3],
		vtkIdList *	pIds,
		vtkDoubleArray *	weights
	)

inlineoverridevirtual

Given a point x, and a list of basis points pIds, compute interpolation weights associated with these basis points.

Note that both the nearby basis points list pIds and the weights array are provided by the caller of the method, and may be dynamically resized as necessary. Typically this method is called after ComputeBasis(), although advanced users can invoke ComputeWeights() and provide the interpolation basis points pIds directly.

Implements vtkInterpolationKernel.

Reimplemented in vtkEllipsoidalGaussianKernel, vtkGaussianKernel, vtkLinearKernel, vtkProbabilisticVoronoiKernel, and vtkShepardKernel.

Definition at line 118 of file vtkGeneralizedKernel.h.

◆ SetKernelFootprint()

virtual void vtkGeneralizedKernel::SetKernelFootprint ( int )

virtual

Specify the interpolation basis style.

By default, a Radius style is used (i.e., the basis is defined from all points within a specified radius). However, it is also possible to select the N closest points (NClosest). Note that in most formulations the Radius style is assumed as it provides better mathematical properties. However, for convenience some bases are easier to use when the N closest points are taken.

◆ GetKernelFootprint()

virtual int vtkGeneralizedKernel::GetKernelFootprint ( )

virtual

Specify the interpolation basis style.

By default, a Radius style is used (i.e., the basis is defined from all points within a specified radius). However, it is also possible to select the N closest points (NClosest). Note that in most formulations the Radius style is assumed as it provides better mathematical properties. However, for convenience some bases are easier to use when the N closest points are taken.

◆ SetKernelFootprintToRadius()

void vtkGeneralizedKernel::SetKernelFootprintToRadius ( )

inline

Specify the interpolation basis style.

By default, a Radius style is used (i.e., the basis is defined from all points within a specified radius). However, it is also possible to select the N closest points (NClosest). Note that in most formulations the Radius style is assumed as it provides better mathematical properties. However, for convenience some bases are easier to use when the N closest points are taken.

Definition at line 146 of file vtkGeneralizedKernel.h.

◆ SetKernelFootprintToNClosest()

void vtkGeneralizedKernel::SetKernelFootprintToNClosest ( )

inline

Specify the interpolation basis style.

By default, a Radius style is used (i.e., the basis is defined from all points within a specified radius). However, it is also possible to select the N closest points (NClosest). Note that in most formulations the Radius style is assumed as it provides better mathematical properties. However, for convenience some bases are easier to use when the N closest points are taken.

Definition at line 147 of file vtkGeneralizedKernel.h.

◆ SetRadius()

virtual void vtkGeneralizedKernel::SetRadius ( double )

virtual

If the interpolation basis style is Radius, then this method specifies the radius within which the basis points must lie.

◆ GetRadius()

virtual double vtkGeneralizedKernel::GetRadius ( )

virtual

If the interpolation basis style is Radius, then this method specifies the radius within which the basis points must lie.

◆ SetNumberOfPoints()

virtual void vtkGeneralizedKernel::SetNumberOfPoints ( int )

virtual

If the interpolation basis style is NClosest, then this method specifies the number of the closest points used to form the interpolation basis.

◆ GetNumberOfPoints()

virtual int vtkGeneralizedKernel::GetNumberOfPoints ( )

virtual

If the interpolation basis style is NClosest, then this method specifies the number of the closest points used to form the interpolation basis.

◆ SetNormalizeWeights()

virtual void vtkGeneralizedKernel::SetNormalizeWeights ( bool )

virtual

Indicate whether the interpolation weights should be normalized after they are computed.

Generally this is left on as it results in more reasonable behavior.

◆ GetNormalizeWeights()

virtual bool vtkGeneralizedKernel::GetNormalizeWeights ( )

virtual

Indicate whether the interpolation weights should be normalized after they are computed.

Generally this is left on as it results in more reasonable behavior.

◆ NormalizeWeightsOn()

virtual void vtkGeneralizedKernel::NormalizeWeightsOn ( )

virtual

Indicate whether the interpolation weights should be normalized after they are computed.

Generally this is left on as it results in more reasonable behavior.

◆ NormalizeWeightsOff()

virtual void vtkGeneralizedKernel::NormalizeWeightsOff ( )

virtual

Indicate whether the interpolation weights should be normalized after they are computed.

Generally this is left on as it results in more reasonable behavior.

Member Data Documentation

◆ KernelFootprint

int vtkGeneralizedKernel::KernelFootprint

protected

Definition at line 183 of file vtkGeneralizedKernel.h.

◆ Radius

double vtkGeneralizedKernel::Radius

protected

Definition at line 184 of file vtkGeneralizedKernel.h.

◆ NumberOfPoints

int vtkGeneralizedKernel::NumberOfPoints

protected

Definition at line 185 of file vtkGeneralizedKernel.h.

◆ NormalizeWeights

bool vtkGeneralizedKernel::NormalizeWeights

protected

Definition at line 186 of file vtkGeneralizedKernel.h.

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

Filters/Points/vtkGeneralizedKernel.h

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Superclass

Member Enumeration Documentation

◆ KernelStyle

Constructor & Destructor Documentation

◆ vtkGeneralizedKernel()

◆ ~vtkGeneralizedKernel()

Member Function Documentation

◆ IsTypeOf()

◆ IsA()

◆ SafeDownCast()

◆ NewInstanceInternal()

◆ NewInstance()

◆ PrintSelf()

◆ ComputeBasis()

◆ ComputeWeights() [1/2]

◆ ComputeWeights() [2/2]

◆ SetKernelFootprint()

◆ GetKernelFootprint()

◆ SetKernelFootprintToRadius()

◆ SetKernelFootprintToNClosest()

◆ SetRadius()

◆ GetRadius()

◆ SetNumberOfPoints()

◆ GetNumberOfPoints()

◆ SetNormalizeWeights()

◆ GetNormalizeWeights()

◆ NormalizeWeightsOn()

◆ NormalizeWeightsOff()

Member Data Documentation

◆ KernelFootprint

◆ Radius

◆ NumberOfPoints

◆ NormalizeWeights