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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 Types inherited from vtkObject
typedef vtkObjectBase Superclass
 

Public Member Functions

virtual int IsA (const char *type)
 
vtkSplineNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent)
 
virtual void Compute ()=0
 
virtual double Evaluate (double t)=0
 
int GetNumberOfPoints ()
 
void AddPoint (double t, double x)
 
void RemovePoint (double t)
 
void RemoveAllPoints ()
 
unsigned long GetMTime ()
 
virtual void DeepCopy (vtkSpline *s)
 
void SetParametricRange (double tMin, double tMax)
 
void SetParametricRange (double tRange[2])
 
void GetParametricRange (double tRange[2]) const
 
virtual void SetClampValue (int)
 
virtual int GetClampValue ()
 
virtual void ClampValueOn ()
 
virtual void ClampValueOff ()
 
virtual void SetClosed (int)
 
virtual int GetClosed ()
 
virtual void ClosedOn ()
 
virtual void ClosedOff ()
 
virtual void SetLeftConstraint (int)
 
virtual int GetLeftConstraint ()
 
virtual void SetRightConstraint (int)
 
virtual int GetRightConstraint ()
 
virtual void SetLeftValue (double)
 
virtual double GetLeftValue ()
 
virtual void SetRightValue (double)
 
virtual double GetRightValue ()
 
- Public Member Functions inherited from vtkObject
vtkObjectNewInstance () const
 
virtual void DebugOn ()
 
virtual void DebugOff ()
 
bool GetDebug ()
 
void SetDebug (bool debugFlag)
 
virtual void Modified ()
 
unsigned long AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
 
unsigned long AddObserver (const char *event, vtkCommand *, float priority=0.0f)
 
vtkCommandGetCommand (unsigned long tag)
 
void RemoveObserver (vtkCommand *)
 
void RemoveObservers (unsigned long event, vtkCommand *)
 
void RemoveObservers (const char *event, vtkCommand *)
 
int HasObserver (unsigned long event, vtkCommand *)
 
int HasObserver (const char *event, vtkCommand *)
 
void RemoveObserver (unsigned long tag)
 
void RemoveObservers (unsigned long event)
 
void RemoveObservers (const char *event)
 
void RemoveAllObservers ()
 
int HasObserver (unsigned long event)
 
int HasObserver (const char *event)
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f)
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, void(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f)
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, bool(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f)
 
int InvokeEvent (unsigned long event, void *callData)
 
int InvokeEvent (const char *event, void *callData)
 
int InvokeEvent (unsigned long event)
 
int InvokeEvent (const char *event)
 
- Public Member Functions inherited from vtkObjectBase
const char * GetClassName () const
 
virtual void Delete ()
 
virtual void FastDelete ()
 
void Print (ostream &os)
 
virtual void Register (vtkObjectBase *o)
 
virtual void UnRegister (vtkObjectBase *o)
 
void SetReferenceCount (int)
 
void PrintRevisions (ostream &)
 
virtual void PrintHeader (ostream &os, vtkIndent indent)
 
virtual void PrintTrailer (ostream &os, vtkIndent indent)
 
int GetReferenceCount ()
 

Static Public Member Functions

static int IsTypeOf (const char *type)
 
static vtkSplineSafeDownCast (vtkObjectBase *o)
 
- Static Public Member Functions inherited from vtkObject
static int IsTypeOf (const char *type)
 
static vtkObjectSafeDownCast (vtkObjectBase *o)
 
static vtkObjectNew ()
 
static void BreakOnError ()
 
static void SetGlobalWarningDisplay (int val)
 
static void GlobalWarningDisplayOn ()
 
static void GlobalWarningDisplayOff ()
 
static int GetGlobalWarningDisplay ()
 
- Static Public Member Functions inherited from vtkObjectBase
static int IsTypeOf (const char *name)
 
static vtkObjectBaseNew ()
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkSpline ()
 
 ~vtkSpline ()
 
double ComputeLeftDerivative ()
 
double ComputeRightDerivative ()
 
int FindIndex (int size, double t)
 
- Protected Member Functions inherited from vtkObject
 vtkObject ()
 
virtual ~vtkObject ()
 
virtual void RegisterInternal (vtkObjectBase *, int check)
 
virtual void UnRegisterInternal (vtkObjectBase *, int check)
 
void InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=NULL)
 
void InternalReleaseFocus ()
 
- Protected Member Functions inherited from vtkObjectBase
 vtkObjectBase ()
 
virtual ~vtkObjectBase ()
 
virtual void CollectRevisions (ostream &)
 
virtual void ReportReferences (vtkGarbageCollector *)
 
 vtkObjectBase (const vtkObjectBase &)
 
void operator= (const vtkObjectBase &)
 

Protected Attributes

unsigned long ComputeTime
 
int ClampValue
 
doubleIntervals
 
doubleCoefficients
 
int LeftConstraint
 
double LeftValue
 
int RightConstraint
 
double RightValue
 
vtkPiecewiseFunctionPiecewiseFunction
 
int Closed
 
double ParametricRange [2]
 
- Protected Attributes inherited from vtkObject
bool Debug
 
vtkTimeStamp MTime
 
vtkSubjectHelper * SubjectHelper
 
- Protected Attributes inherited from vtkObjectBase
vtkAtomicInt32 ReferenceCount
 
vtkWeakPointerBase ** WeakPointers
 

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 vtkKochenekSpline 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 vtkKochenekSpline vtkParametricSpline vtkParametricFunctionSource

Definition at line 61 of file vtkSpline.h.

Member Typedef Documentation

Definition at line 64 of file vtkSpline.h.

Constructor & Destructor Documentation

vtkSpline::vtkSpline ( )
protected
vtkSpline::~vtkSpline ( )
protected

Member Function Documentation

static int vtkSpline::IsTypeOf ( const char *  type)
static
virtual int 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 vtkObject.

Reimplemented in vtkKochanekSpline, vtkCardinalSpline, and vtkSCurveSpline.

static vtkSpline* vtkSpline::SafeDownCast ( vtkObjectBase o)
static
virtual vtkObjectBase* vtkSpline::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkObject.

Reimplemented in vtkKochanekSpline, vtkCardinalSpline, and vtkSCurveSpline.

vtkSpline* vtkSpline::NewInstance ( ) const
void vtkSpline::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 vtkSCurveSpline.

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.

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 73 of file vtkSpline.h.

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.

virtual void vtkSpline::SetClampValue ( int  )
virtual

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

virtual int vtkSpline::GetClampValue ( )
virtual

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

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.

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.

virtual void vtkSpline::Compute ( )
pure virtual

Compute the coefficients for the spline.

Implemented in vtkKochanekSpline, vtkCardinalSpline, and vtkSCurveSpline.

virtual double vtkSpline::Evaluate ( double  t)
pure virtual

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

Implemented in vtkKochanekSpline, vtkCardinalSpline, and vtkSCurveSpline.

int vtkSpline::GetNumberOfPoints ( )

Return the number of points inserted thus far.

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

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

void vtkSpline::RemovePoint ( double  t)

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

void vtkSpline::RemoveAllPoints ( )

Remove all points from the data.

virtual void vtkSpline::SetClosed ( int  )
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.

virtual int 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

unsigned long vtkSpline::GetMTime ( )
virtual

Return the MTime also considering the Piecewise function.

Reimplemented from vtkObject.

virtual void vtkSpline::DeepCopy ( vtkSpline s)
virtual

Deep copy of spline data.

Reimplemented in vtkKochanekSpline, vtkCardinalSpline, and vtkSCurveSpline.

double vtkSpline::ComputeLeftDerivative ( )
protected
double vtkSpline::ComputeRightDerivative ( )
protected
int vtkSpline::FindIndex ( int  size,
double  t 
)
protected

Member Data Documentation

unsigned long vtkSpline::ComputeTime
protected

Definition at line 147 of file vtkSpline.h.

int vtkSpline::ClampValue
protected

Definition at line 148 of file vtkSpline.h.

double* vtkSpline::Intervals
protected

Definition at line 149 of file vtkSpline.h.

double* vtkSpline::Coefficients
protected

Definition at line 150 of file vtkSpline.h.

int vtkSpline::LeftConstraint
protected

Definition at line 151 of file vtkSpline.h.

double vtkSpline::LeftValue
protected

Definition at line 152 of file vtkSpline.h.

int vtkSpline::RightConstraint
protected

Definition at line 153 of file vtkSpline.h.

double vtkSpline::RightValue
protected

Definition at line 154 of file vtkSpline.h.

vtkPiecewiseFunction* vtkSpline::PiecewiseFunction
protected

Definition at line 155 of file vtkSpline.h.

int vtkSpline::Closed
protected

Definition at line 156 of file vtkSpline.h.

double vtkSpline::ParametricRange[2]
protected

Definition at line 159 of file vtkSpline.h.


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