spline abstract class for interpolating splines More...

#include <vtkSpline.h>

Inheritance diagram for vtkSpline:

Collaboration diagram for vtkSpline:

Public Types
typedef vtkObject	Superclass

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

vtkSpline *	NewInstance () const

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

virtual void	Compute ()=0
	Compute the coefficients for the spline.

virtual double	Evaluate (double t)=0
	Interpolate the value of the spline at parametric location of t.

int	GetNumberOfPoints ()
	Return the number of points inserted thus far.

void	AddPoint (double t, double x)
	Add a pair of points to be fit with the spline.

void	RemovePoint (double t)
	Remove a point from the data to be fit with the spline.

void	RemoveAllPoints ()
	Remove all points from the data.

vtkMTimeType	GetMTime () override
	Return the MTime also considering the Piecewise function.

virtual void	DeepCopy (vtkSpline *s)
	Deep copy of spline data.


void	SetParametricRange (double tMin, double tMax)
	Set/Get the parametric range.

void	SetParametricRange (double tRange[2])
	Set/Get the parametric range.

void	GetParametricRange (double tRange[2]) const
	Set/Get the parametric range.


virtual void	SetClampValue (vtkTypeBool)
	Set/Get ClampValue.

virtual vtkTypeBool	GetClampValue ()
	Set/Get ClampValue.

virtual void	ClampValueOn ()
	Set/Get ClampValue.

virtual void	ClampValueOff ()
	Set/Get ClampValue.


virtual void	SetClosed (vtkTypeBool)
	Control whether the spline is open or closed.

virtual vtkTypeBool	GetClosed ()
	Control whether the spline is open or closed.

virtual void	ClosedOn ()
	Control whether the spline is open or closed.

virtual void	ClosedOff ()
	Control whether the spline is open or closed.


virtual void	SetLeftConstraint (int)
	Set the type of constraint of the left(right) end points.

virtual int	GetLeftConstraint ()
	Set the type of constraint of the left(right) end points.

virtual void	SetRightConstraint (int)
	Set the type of constraint of the left(right) end points.

virtual int	GetRightConstraint ()
	Set the type of constraint of the left(right) end points.


virtual void	SetLeftValue (double)
	The values of the derivative on the left and right sides.

virtual double	GetLeftValue ()
	The values of the derivative on the left and right sides.

virtual void	SetRightValue (double)
	The values of the derivative on the left and right sides.

virtual double	GetRightValue ()
	The values of the derivative on the left and right sides.

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.

Static Public Member Functions
static vtkTypeBool	IsTypeOf (const char *type)

static vtkSpline *	SafeDownCast (vtkObjectBase *o)

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.

Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkSpline ()

	~vtkSpline () override

double	ComputeLeftDerivative ()

double	ComputeRightDerivative ()

int	FindIndex (int size, double t)

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
vtkMTimeType	ComputeTime

vtkTypeBool	ClampValue

double *	Intervals

double *	Coefficients

int	LeftConstraint

double	LeftValue

int	RightConstraint

double	RightValue

vtkPiecewiseFunction *	PiecewiseFunction

vtkTypeBool	Closed

double	ParametricRange [2]

Protected Attributes inherited from vtkObject
bool	Debug

vtkTimeStamp	MTime

vtkSubjectHelper *	SubjectHelper

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

vtkWeakPointerBase **	WeakPointers

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

static vtkReallocingFunction	GetCurrentReallocFunction ()

static vtkFreeingFunction	GetCurrentFreeFunction ()

static vtkFreeingFunction	GetAlternateFreeFunction ()

Detailed Description

spline abstract class for interpolating splines

vtkSpline interpolates a set of data points (i.e., interpolation means that the spline passes through the points). vtkSpline is an abstract class: its subclasses vtkCardinalSpline and vtkKochanekSpline do the interpolation. Note that this spline maps the 1D parametric coordinate t into a single value x. Thus if you want to use the spline to interpolate points (i.e. x[3]), you have to create three splines for each of the x-y-z coordinates. Fortunately, the vtkParametricSpline class does this for you.

Typically a spline is used by adding a sequence of parametric coordinate / data (t,x) values followed by use of an evaluation function (e.g., vtkCardinalSpline::Evaluate()). Since these splines are 1D, a point in this context is an independent / dependent variable pair.

Splines can also be set up to be closed or open. Closed splines continue from the last point to the first point with continuous function and derivative values. (You don't need to duplicate the first point to close the spline, just set ClosedOn.)

This implementation of splines does not use a normalized parametric coordinate. If the spline is open, then the parameter space is (tMin <= t <= tMax) where tMin and tMax are the minimum and maximum parametric values seen when performing AddPoint(). If the spline is closed, then the parameter space is (tMin <= t <= (tMax+1)) where tMin and tMax are the minimum and maximum parametric values seen when performing AddPoint(). Note, however, that this behavior can be changed by explicitly setting the ParametricRange(tMin,tMax). If set, the parameter space remains (tMin <= t <= tMax), except that additions of data with parametric values outside this range are clamped within this range.

See also: vtkCardinalSpline vtkKochanekSpline vtkParametricSpline vtkParametricFunctionSource

Online Examples:

FitSplineToCutterOutput

Definition at line 81 of file vtkSpline.h.

Member Typedef Documentation

◆ Superclass

typedef vtkObject vtkSpline::Superclass

Definition at line 84 of file vtkSpline.h.

Constructor & Destructor Documentation

◆ vtkSpline()

vtkSpline::vtkSpline ( )

protected

◆ ~vtkSpline()

vtkSpline::~vtkSpline ( )

overrideprotected

Member Function Documentation

◆ IsTypeOf()

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

static

◆ IsA()

virtual vtkTypeBool vtkSpline::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 vtkObjectBase.

Reimplemented in vtkCardinalSpline, vtkKochanekSpline, and vtkSCurveSpline.

◆ SafeDownCast()

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

static

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkSpline::NewInstanceInternal ( ) const

protectedvirtual

Reimplemented in vtkCardinalSpline, vtkKochanekSpline, and vtkSCurveSpline.

◆ NewInstance()

vtkSpline * vtkSpline::NewInstance ( ) const

◆ PrintSelf()

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

overridevirtual

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 vtkSCurveSpline.

◆ SetParametricRange() [1/2]

void vtkSpline::SetParametricRange	(	double	tMin,
		double	tMax
	)

Set/Get the parametric range.

If not set, the range is determined implicitly by keeping track of the (min,max) parameter values for t. If set, the AddPoint() method will clamp the t value to lie within the specified range.

◆ SetParametricRange() [2/2]

void vtkSpline::SetParametricRange ( double tRange[2] )

inline

Set/Get the parametric range.

If not set, the range is determined implicitly by keeping track of the (min,max) parameter values for t. If set, the AddPoint() method will clamp the t value to lie within the specified range.

Definition at line 95 of file vtkSpline.h.

◆ GetParametricRange()

void vtkSpline::GetParametricRange ( double tRange[2] ) const

Set/Get the parametric range.

If not set, the range is determined implicitly by keeping track of the (min,max) parameter values for t. If set, the AddPoint() method will clamp the t value to lie within the specified range.

◆ SetClampValue()

virtual void vtkSpline::SetClampValue ( vtkTypeBool )

virtual

Set/Get ClampValue.

If On, results of the interpolation will be clamped to the min/max of the input data.

◆ GetClampValue()

virtual vtkTypeBool vtkSpline::GetClampValue ( )

virtual

Set/Get ClampValue.

If On, results of the interpolation will be clamped to the min/max of the input data.

◆ ClampValueOn()

virtual void vtkSpline::ClampValueOn ( )

virtual

Set/Get ClampValue.

If On, results of the interpolation will be clamped to the min/max of the input data.

◆ ClampValueOff()

virtual void vtkSpline::ClampValueOff ( )

virtual

Set/Get ClampValue.

If On, results of the interpolation will be clamped to the min/max of the input data.

◆ Compute()

virtual void vtkSpline::Compute ( )

pure virtual

Compute the coefficients for the spline.

Implemented in vtkCardinalSpline, vtkKochanekSpline, and vtkSCurveSpline.

◆ Evaluate()

virtual double vtkSpline::Evaluate ( double t )

pure virtual

Interpolate the value of the spline at parametric location of t.

Implemented in vtkCardinalSpline, vtkKochanekSpline, and vtkSCurveSpline.

◆ GetNumberOfPoints()

int vtkSpline::GetNumberOfPoints ( )

Return the number of points inserted thus far.

◆ AddPoint()

void vtkSpline::AddPoint	(	double	t,
		double	x
	)

Add a pair of points to be fit with the spline.

◆ RemovePoint()

void vtkSpline::RemovePoint ( double t )

Remove a point from the data to be fit with the spline.

◆ RemoveAllPoints()

void vtkSpline::RemoveAllPoints ( )

Remove all points from the data.

◆ SetClosed()

virtual void vtkSpline::SetClosed ( vtkTypeBool )

virtual

Control whether the spline is open or closed.

A closed spline forms a continuous loop: the first and last points are the same, and derivatives are continuous.

◆ GetClosed()

virtual vtkTypeBool vtkSpline::GetClosed ( )

virtual

Control whether the spline is open or closed.

A closed spline forms a continuous loop: the first and last points are the same, and derivatives are continuous.

◆ ClosedOn()

virtual void vtkSpline::ClosedOn ( )

virtual

Control whether the spline is open or closed.

A closed spline forms a continuous loop: the first and last points are the same, and derivatives are continuous.

◆ ClosedOff()

virtual void vtkSpline::ClosedOff ( )

virtual

Control whether the spline is open or closed.

A closed spline forms a continuous loop: the first and last points are the same, and derivatives are continuous.

◆ SetLeftConstraint()

virtual void vtkSpline::SetLeftConstraint ( int )

virtual

Set the type of constraint of the left(right) end points.

Four constraints are available:

0: the first derivative at left(right) most point is determined from the line defined from the first(last) two points.

1: the first derivative at left(right) most point is set to Left(Right)Value.

2: the second derivative at left(right) most point is set to Left(Right)Value.

3: the second derivative at left(right)most points is Left(Right)Value times second derivative at first interior point.

◆ GetLeftConstraint()

virtual int vtkSpline::GetLeftConstraint ( )

virtual

Set the type of constraint of the left(right) end points.

Four constraints are available:

0: the first derivative at left(right) most point is determined from the line defined from the first(last) two points.

1: the first derivative at left(right) most point is set to Left(Right)Value.

2: the second derivative at left(right) most point is set to Left(Right)Value.

3: the second derivative at left(right)most points is Left(Right)Value times second derivative at first interior point.

◆ SetRightConstraint()

virtual void vtkSpline::SetRightConstraint ( int )

virtual

Set the type of constraint of the left(right) end points.

Four constraints are available:

0: the first derivative at left(right) most point is determined from the line defined from the first(last) two points.

1: the first derivative at left(right) most point is set to Left(Right)Value.

2: the second derivative at left(right) most point is set to Left(Right)Value.

3: the second derivative at left(right)most points is Left(Right)Value times second derivative at first interior point.

◆ GetRightConstraint()

virtual int vtkSpline::GetRightConstraint ( )

virtual

Set the type of constraint of the left(right) end points.

Four constraints are available:

0: the first derivative at left(right) most point is determined from the line defined from the first(last) two points.

1: the first derivative at left(right) most point is set to Left(Right)Value.

2: the second derivative at left(right) most point is set to Left(Right)Value.

3: the second derivative at left(right)most points is Left(Right)Value times second derivative at first interior point.

◆ SetLeftValue()

virtual void vtkSpline::SetLeftValue ( double )

virtual

The values of the derivative on the left and right sides.

The value is used only if the left(right) constraint is type 1-3.

◆ GetLeftValue()

virtual double vtkSpline::GetLeftValue ( )

virtual

The values of the derivative on the left and right sides.

The value is used only if the left(right) constraint is type 1-3.

◆ SetRightValue()

virtual void vtkSpline::SetRightValue ( double )

virtual

The values of the derivative on the left and right sides.

The value is used only if the left(right) constraint is type 1-3.

◆ GetRightValue()

virtual double vtkSpline::GetRightValue ( )

virtual

The values of the derivative on the left and right sides.

The value is used only if the left(right) constraint is type 1-3.

◆ GetMTime()

vtkMTimeType vtkSpline::GetMTime ( )

overridevirtual

Return the MTime also considering the Piecewise function.

Reimplemented from vtkObject.

◆ DeepCopy()

virtual void vtkSpline::DeepCopy ( vtkSpline * s )

virtual

Deep copy of spline data.

Reimplemented in vtkCardinalSpline, vtkKochanekSpline, and vtkSCurveSpline.

◆ ComputeLeftDerivative()

double vtkSpline::ComputeLeftDerivative ( )

protected

◆ ComputeRightDerivative()

double vtkSpline::ComputeRightDerivative ( )

protected

◆ FindIndex()

int vtkSpline::FindIndex	(	int	size,
		double	t
	)

protected

Member Data Documentation

◆ ComputeTime

vtkMTimeType vtkSpline::ComputeTime

protected

Definition at line 198 of file vtkSpline.h.

◆ ClampValue

vtkTypeBool vtkSpline::ClampValue

protected

Definition at line 199 of file vtkSpline.h.

◆ Intervals

double* vtkSpline::Intervals

protected

Definition at line 200 of file vtkSpline.h.

◆ Coefficients

double* vtkSpline::Coefficients

protected

Definition at line 201 of file vtkSpline.h.

◆ LeftConstraint

int vtkSpline::LeftConstraint

protected

Definition at line 202 of file vtkSpline.h.

◆ LeftValue

double vtkSpline::LeftValue

protected

Definition at line 203 of file vtkSpline.h.

◆ RightConstraint

int vtkSpline::RightConstraint

protected

Definition at line 204 of file vtkSpline.h.

◆ RightValue

double vtkSpline::RightValue

protected

Definition at line 205 of file vtkSpline.h.

◆ PiecewiseFunction

vtkPiecewiseFunction* vtkSpline::PiecewiseFunction

protected

Definition at line 206 of file vtkSpline.h.

◆ Closed

vtkTypeBool vtkSpline::Closed

protected

Definition at line 207 of file vtkSpline.h.

◆ ParametricRange

double vtkSpline::ParametricRange[2]

protected

Definition at line 210 of file vtkSpline.h.

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

Common/DataModel/vtkSpline.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Superclass

Constructor & Destructor Documentation

◆ vtkSpline()

◆ ~vtkSpline()

Member Function Documentation

◆ IsTypeOf()

◆ IsA()

◆ SafeDownCast()

◆ NewInstanceInternal()

◆ NewInstance()

◆ PrintSelf()

◆ SetParametricRange() [1/2]

◆ SetParametricRange() [2/2]

◆ GetParametricRange()

◆ SetClampValue()

◆ GetClampValue()

◆ ClampValueOn()

◆ ClampValueOff()

◆ Compute()

◆ Evaluate()

◆ GetNumberOfPoints()

◆ AddPoint()

◆ RemovePoint()

◆ RemoveAllPoints()

◆ SetClosed()

◆ GetClosed()

◆ ClosedOn()

◆ ClosedOff()

◆ SetLeftConstraint()

◆ GetLeftConstraint()

◆ SetRightConstraint()

◆ GetRightConstraint()

◆ SetLeftValue()

◆ GetLeftValue()

◆ SetRightValue()

◆ GetRightValue()

◆ GetMTime()

◆ DeepCopy()

◆ ComputeLeftDerivative()

◆ ComputeRightDerivative()

◆ FindIndex()

Member Data Documentation

◆ ComputeTime

◆ ClampValue

◆ Intervals

◆ Coefficients

◆ LeftConstraint

◆ LeftValue

◆ RightConstraint

◆ RightValue

◆ PiecewiseFunction

◆ Closed

◆ ParametricRange