VTK  9.1.0
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
vtkSpline Class Referenceabstract

spline abstract class for interpolating splines More...

#include <vtkSpline.h>

Inheritance diagram for vtkSpline:
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Collaboration diagram for vtkSpline:
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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. More...
 
vtkSplineNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void Compute ()=0
 Compute the coefficients for the spline. More...
 
virtual double Evaluate (double t)=0
 Interpolate the value of the spline at parametric location of t. More...
 
int GetNumberOfPoints ()
 Return the number of points inserted thus far. More...
 
void AddPoint (double t, double x)
 Add a pair of points to be fit with the spline. More...
 
void RemovePoint (double t)
 Remove a point from the data to be fit with the spline. More...
 
void RemoveAllPoints ()
 Remove all points from the data. More...
 
vtkMTimeType GetMTime () override
 Return the MTime also considering the Piecewise function. More...
 
virtual void DeepCopy (vtkSpline *s)
 Deep copy of spline data. More...
 
void SetParametricRange (double tMin, double tMax)
 Set/Get the parametric range. More...
 
void SetParametricRange (double tRange[2])
 Set/Get the parametric range. More...
 
void GetParametricRange (double tRange[2]) const
 Set/Get the parametric range. More...
 
virtual void SetClampValue (vtkTypeBool)
 Set/Get ClampValue. More...
 
virtual vtkTypeBool GetClampValue ()
 Set/Get ClampValue. More...
 
virtual void ClampValueOn ()
 Set/Get ClampValue. More...
 
virtual void ClampValueOff ()
 Set/Get ClampValue. More...
 
virtual void SetClosed (vtkTypeBool)
 Control whether the spline is open or closed. More...
 
virtual vtkTypeBool GetClosed ()
 Control whether the spline is open or closed. More...
 
virtual void ClosedOn ()
 Control whether the spline is open or closed. More...
 
virtual void ClosedOff ()
 Control whether the spline is open or closed. More...
 
virtual void SetLeftConstraint (int)
 Set the type of constraint of the left(right) end points. More...
 
virtual int GetLeftConstraint ()
 Set the type of constraint of the left(right) end points. More...
 
virtual void SetRightConstraint (int)
 Set the type of constraint of the left(right) end points. More...
 
virtual int GetRightConstraint ()
 Set the type of constraint of the left(right) end points. More...
 
virtual void SetLeftValue (double)
 The values of the derivative on the left and right sides. More...
 
virtual double GetLeftValue ()
 The values of the derivative on the left and right sides. More...
 
virtual void SetRightValue (double)
 The values of the derivative on the left and right sides. More...
 
virtual double GetRightValue ()
 The values of the derivative on the left and right sides. More...
 
- Public Member Functions inherited from vtkObject
 vtkBaseTypeMacro (vtkObject, vtkObjectBase)
 
virtual void DebugOn ()
 Turn debugging output on. More...
 
virtual void DebugOff ()
 Turn debugging output off. More...
 
bool GetDebug ()
 Get the value of the debug flag. More...
 
void SetDebug (bool debugFlag)
 Set the value of the debug flag. More...
 
virtual void Modified ()
 Update the modification time for this object. More...
 
virtual vtkMTimeType GetMTime ()
 Return this object's modified time. More...
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
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. More...
 
unsigned long AddObserver (const char *event, vtkCommand *, float priority=0.0f)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
vtkCommandGetCommand (unsigned long tag)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObserver (vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObservers (unsigned long event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
void RemoveObservers (const char *event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
vtkTypeBool HasObserver (unsigned long event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
vtkTypeBool HasObserver (const char *event, vtkCommand *)
 Allow people to add/remove/invoke observers (callbacks) to any VTK object. More...
 
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. More...
 
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. More...
 
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. More...
 
int InvokeEvent (unsigned long event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
int InvokeEvent (const char *event, void *callData)
 This method invokes an event and return whether the event was aborted or not. More...
 
- Public Member Functions inherited from vtkObjectBase
const char * GetClassName () const
 Return the class name as a string. More...
 
virtual vtkTypeBool IsA (const char *name)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
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). More...
 
virtual void Delete ()
 Delete a VTK object. More...
 
virtual void FastDelete ()
 Delete a reference to this object. More...
 
void InitializeObjectBase ()
 
void Print (ostream &os)
 Print an object to an ostream. More...
 
virtual void Register (vtkObjectBase *o)
 Increase the reference count (mark as used by another object). More...
 
virtual void UnRegister (vtkObjectBase *o)
 Decrease the reference count (release by another object). More...
 
int GetReferenceCount ()
 Return the current reference count of this object. More...
 
void SetReferenceCount (int)
 Sets the reference count. More...
 
bool GetIsInMemkind () const
 A local state flag that remembers whether this object lives in the normal or extended memory space. More...
 
virtual void PrintHeader (ostream &os, vtkIndent indent)
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void PrintTrailer (ostream &os, vtkIndent indent)
 Methods invoked by print to print information about the object including superclasses. More...
 

Static Public Member Functions

static vtkTypeBool IsTypeOf (const char *type)
 
static vtkSplineSafeDownCast (vtkObjectBase *o)
 
- Static Public Member Functions inherited from vtkObject
static vtkObjectNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 
static void BreakOnError ()
 This method is called when vtkErrorMacro executes. More...
 
static void SetGlobalWarningDisplay (int val)
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static void GlobalWarningDisplayOn ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static void GlobalWarningDisplayOff ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
static int GetGlobalWarningDisplay ()
 This is a global flag that controls whether any debug, warning or error messages are displayed. More...
 
- 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. More...
 
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). More...
 
static vtkObjectBaseNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 
static void SetMemkindDirectory (const char *directoryname)
 The name of a directory, ideally mounted -o dax, to memory map an extended memory space within. More...
 
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. More...
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () 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. More...
 
void InternalReleaseFocus ()
 These methods allow a command to exclusively grab all events. More...
 
- 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
 
vtkPiecewiseFunctionPiecewiseFunction
 
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:

Definition at line 81 of file vtkSpline.h.

Member Typedef Documentation

◆ 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

◆ 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: