cell represents a parabolic, isoparametric triangle More...

#include <vtkBiQuadraticTriangle.h>

Inheritance diagram for vtkBiQuadraticTriangle:

Collaboration diagram for vtkBiQuadraticTriangle:

Public Types
typedef vtkNonLinearCell	Superclass

Public Types inherited from vtkNonLinearCell
typedef vtkCell	Superclass

Public Types inherited from vtkCell
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.

vtkBiQuadraticTriangle *	NewInstance () const

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

int	CellBoundary (int subId, const double pcoords[3], vtkIdList *pts) override
	Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

void	Contour (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd) override
	Generate contouring primitives.

int	EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
	Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

void	EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights) override
	Determine global coordinate (x[3]) from subId and parametric coordinates.

int	TriangulateLocalIds (int index, vtkIdList *ptIds) override
	Generate simplices of proper dimension.

void	Derivatives (int subId, const double pcoords[3], const double values, int dim, double derivs) override
	Compute derivatives given cell subId and parametric coordinates.

double *	GetParametricCoords () override
	Return a contiguous array of parametric coordinates of the points defining this cell.

void	Clip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
	Clip this quadratic triangle using scalar value provided.

int	IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
	Line-edge intersection.

int	GetParametricCenter (double pcoords[3]) override
	Return the center of the quadratic triangle in parametric coordinates.

double	GetParametricDistance (const double pcoords[3]) override
	Return the distance of the parametric coordinate provided to the cell.


int	GetCellType () override
	Implement the vtkCell API.

int	GetCellDimension () override
	Implement the vtkCell API.

int	GetNumberOfEdges () override
	Implement the vtkCell API.

int	GetNumberOfFaces () override
	Implement the vtkCell API.

vtkCell *	GetEdge (int edgeId) override
	Implement the vtkCell API.

vtkCell *	GetFace (int) override
	Implement the vtkCell API.


void	InterpolateFunctions (const double pcoords[3], double weights[7]) override
	Compute the interpolation functions/derivatives (aka shape functions/derivatives)

void	InterpolateDerivs (const double pcoords[3], double derivs[14]) override
	Compute the interpolation functions/derivatives (aka shape functions/derivatives)

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

vtkNonLinearCell *	NewInstance () const

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

int	IsLinear () override
	Non-linear cells require special treatment (tessellation) when converting to graphics primitives (during mapping).

virtual bool	StableClip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray connectivity, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
	Clip the cell based on the input cellScalars and the specified value.

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

vtkCell *	NewInstance () const

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

void	Initialize (int npts, const vtkIdType pts, vtkPoints p)
	Initialize cell from outside with point ids and point coordinates specified.

void	Initialize (int npts, vtkPoints *p)
	Initialize the cell with point coordinates specified.

virtual void	ShallowCopy (vtkCell *c)
	Copy this cell by reference counting the internal data structures.

virtual void	DeepCopy (vtkCell *c)
	Copy this cell by completely copying internal data structures.

virtual int	GetCellType ()=0
	Return the type of cell.

virtual int	GetCellDimension ()=0
	Return the topological dimensional of the cell (0,1,2, or 3).

virtual int	IsLinear ()
	Non-linear cells require special treatment beyond the usual cell type and connectivity list information.

virtual int	RequiresInitialization ()
	Some cells require initialization prior to access.

virtual void	Initialize ()

virtual int	IsExplicitCell ()
	Explicit cells require additional representational information beyond the usual cell type and connectivity list information.

virtual int	RequiresExplicitFaceRepresentation ()
	Determine whether the cell requires explicit face representation, and methods for setting and getting the faces (see vtkPolyhedron for example usage of these methods).

virtual void	SetFaces (vtkIdType *vtkNotUsed(faces))

virtual vtkIdType *	GetFaces ()

vtkPoints *	GetPoints ()
	Get the point coordinates for the cell.

vtkIdType	GetNumberOfPoints () const
	Return the number of points in the cell.

virtual int	GetNumberOfEdges ()=0
	Return the number of edges in the cell.

virtual int	GetNumberOfFaces ()=0
	Return the number of faces in the cell.

vtkIdList *	GetPointIds ()
	Return the list of point ids defining the cell.

vtkIdType	GetPointId (int ptId)
	For cell point i, return the actual point id.

virtual vtkCell *	GetEdge (int edgeId)=0
	Return the edge cell from the edgeId of the cell.

virtual vtkCell *	GetFace (int faceId)=0
	Return the face cell from the faceId of the cell.

virtual int	CellBoundary (int subId, const double pcoords[3], vtkIdList *pts)=0
	Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

virtual int	EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[])=0
	Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

virtual void	EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights)=0
	Determine global coordinate (x[3]) from subId and parametric coordinates.

virtual void	Contour (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd)=0
	Generate contouring primitives.

virtual void	Clip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray connectivity, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0
	Cut (or clip) the cell based on the input cellScalars and the specified value.

virtual int	Inflate (double dist)
	Inflates the cell.

virtual double	ComputeBoundingSphere (double center[3]) const
	Computes the bounding sphere of the cell.

virtual int	IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
	Intersect with a ray.

virtual int	Triangulate (int index, vtkIdList ptIds, vtkPoints pts)
	Generate simplices of proper dimension.

virtual int	TriangulateIds (int index, vtkIdList *ptIds)
	Generate simplices of proper dimension.

virtual int	TriangulateLocalIds (int index, vtkIdList *ptIds)=0
	Generate simplices of proper dimension.

virtual void	Derivatives (int subId, const double pcoords[3], const double values, int dim, double derivs)=0
	Compute derivatives given cell subId and parametric coordinates.

void	GetBounds (double bounds[6])
	Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).

double *	GetBounds ()
	Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).

double	GetLength2 ()
	Compute Length squared of cell (i.e., bounding box diagonal squared).

virtual int	GetParametricCenter (double pcoords[3])
	Return center of the cell in parametric coordinates.

virtual double	GetParametricDistance (const double pcoords[3])
	Return the distance of the parametric coordinate provided to the cell.

virtual int	IsPrimaryCell ()
	Return whether this cell type has a fixed topology or whether the topology varies depending on the data (e.g., vtkConvexPointSet).

virtual double *	GetParametricCoords ()
	Return a contiguous array of parametric coordinates of the points defining this cell.

virtual void	InterpolateFunctions (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
	Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this level.

virtual void	InterpolateDerivs (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))

virtual int	IntersectWithCell (vtkCell *other, double tol=0.0)
	Intersects with an other cell.

virtual int	IntersectWithCell (vtkCell *other, const vtkBoundingBox &boudingBox, const vtkBoundingBox &otherBoundingBox, double tol=0.0)
	Intersects with an other cell.

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)

vtkTypeBool	InvokeEvent (unsigned long event)

vtkTypeBool	InvokeEvent (const char *event)

std::string	GetObjectDescription () const override
	The object description printed in messages and PrintSelf output.

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.

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

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

virtual void	SetObjectName (const std::string &objectName)
	Set/get the name of this object for reporting purposes.

virtual std::string	GetObjectName () const
	Set/get the name of this object for reporting purposes.

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

virtual std::string	GetObjectDescription () const
	The object description printed in messages and PrintSelf output.

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.

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.

virtual bool	UsesGarbageCollector () const
	Indicate whether the class uses `vtkGarbageCollector` or not.

Static Public Member Functions
static vtkBiQuadraticTriangle *	New ()

static vtkTypeBool	IsTypeOf (const char *type)

static vtkBiQuadraticTriangle *	SafeDownCast (vtkObjectBase *o)

static void	InterpolationFunctions (const double pcoords[3], double weights[7])

static void	InterpolationDerivs (const double pcoords[3], double derivs[14])

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

static vtkNonLinearCell *	SafeDownCast (vtkObjectBase *o)

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

static vtkCell *	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 (vtkTypeBool 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 vtkTypeBool	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

	vtkBiQuadraticTriangle ()

	~vtkBiQuadraticTriangle () override

Protected Member Functions inherited from vtkNonLinearCell
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkNonLinearCell ()

	~vtkNonLinearCell () override=default

Protected Member Functions inherited from vtkCell
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkCell ()

	~vtkCell () override

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 *)

virtual void	ObjectFinalize ()

	vtkObjectBase (const vtkObjectBase &)

void	operator= (const vtkObjectBase &)

Protected Attributes
vtkQuadraticEdge *	Edge

vtkTriangle *	Face

vtkDoubleArray *	Scalars

Protected Attributes inherited from vtkCell
double	Bounds [6]

Protected Attributes inherited from vtkObject
bool	Debug

vtkTimeStamp	MTime

vtkSubjectHelper *	SubjectHelper

std::string	ObjectName

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

vtkWeakPointerBase **	WeakPointers

Additional Inherited Members
Public Attributes inherited from vtkCell
vtkPoints *	Points

vtkIdList *	PointIds

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

static vtkReallocingFunction	GetCurrentReallocFunction ()

static vtkFreeingFunction	GetCurrentFreeFunction ()

static vtkFreeingFunction	GetAlternateFreeFunction ()

Detailed Description

cell represents a parabolic, isoparametric triangle

vtkBiQuadraticTriangle is a concrete implementation of vtkNonLinearCell to represent a two-dimensional, 7-node, isoparametric parabolic triangle. The interpolation is the standard finite element, bi-quadratic isoparametric shape function. The cell includes three mid-edge nodes besides the three triangle vertices and a center node. The ordering of the three points defining the cell is point ids (0-2,3-6) where id #3 is the midedge node between points (0,1); id #4 is the midedge node between points (1,2); and id #5 is the midedge node between points (2,0). id #6 is the center node of the cell.

See also: vtkTriangle vtkQuadraticTriangle vtkBiQuadraticQuad vtkBiQuadraticQuadraticWedge vtkBiQuadraticQuadraticHexahedron

Thanks:

* This file has been developed by Oxalya - www.oxalya.com
*

Online Examples:

IsoparametricCellsDemo

Tests:: vtkBiQuadraticTriangle (Tests)

Definition at line 59 of file vtkBiQuadraticTriangle.h.

Member Typedef Documentation

◆ Superclass

typedef vtkNonLinearCell vtkBiQuadraticTriangle::Superclass

Definition at line 63 of file vtkBiQuadraticTriangle.h.

Constructor & Destructor Documentation

◆ vtkBiQuadraticTriangle()

vtkBiQuadraticTriangle::vtkBiQuadraticTriangle ( )

protected

◆ ~vtkBiQuadraticTriangle()

vtkBiQuadraticTriangle::~vtkBiQuadraticTriangle ( )

overrideprotected

Member Function Documentation

◆ New()

static vtkBiQuadraticTriangle * vtkBiQuadraticTriangle::New ( )

static

◆ IsTypeOf()

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

static

◆ IsA()

virtual vtkTypeBool vtkBiQuadraticTriangle::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 vtkNonLinearCell.

◆ SafeDownCast()

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

static

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkBiQuadraticTriangle::NewInstanceInternal ( ) const

protectedvirtual

Reimplemented from vtkNonLinearCell.

◆ NewInstance()

vtkBiQuadraticTriangle * vtkBiQuadraticTriangle::NewInstance ( ) const

◆ PrintSelf()

void vtkBiQuadraticTriangle::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 vtkObjectBase.

◆ GetCellType()

int vtkBiQuadraticTriangle::GetCellType ( )

inlineoverridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 71 of file vtkBiQuadraticTriangle.h.

◆ GetCellDimension()

int vtkBiQuadraticTriangle::GetCellDimension ( )

inlineoverridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 72 of file vtkBiQuadraticTriangle.h.

◆ GetNumberOfEdges()

int vtkBiQuadraticTriangle::GetNumberOfEdges ( )

inlineoverridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 73 of file vtkBiQuadraticTriangle.h.

◆ GetNumberOfFaces()

int vtkBiQuadraticTriangle::GetNumberOfFaces ( )

inlineoverridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 74 of file vtkBiQuadraticTriangle.h.

◆ GetEdge()

vtkCell * vtkBiQuadraticTriangle::GetEdge ( int edgeId )

overridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

◆ GetFace()

vtkCell * vtkBiQuadraticTriangle::GetFace ( int )

inlineoverridevirtual

Implement the vtkCell API.

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 76 of file vtkBiQuadraticTriangle.h.

◆ CellBoundary()

int vtkBiQuadraticTriangle::CellBoundary	(	int	subId,
		const double	pcoords[3],
		vtkIdList *	pts
	)

overridevirtual

Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

The cell boundary is defined by a list of points (pts) that specify a face (3D cell), edge (2D cell), or vertex (1D cell). If the return value of the method is != 0, then the point is inside the cell.

Implements vtkCell.

◆ Contour()

void vtkBiQuadraticTriangle::Contour	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	verts,
		vtkCellArray *	lines,
		vtkCellArray *	polys,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd
	)

overridevirtual

Generate contouring primitives.

The scalar list cellScalars are scalar values at each cell point. The point locator is essentially a points list that merges points as they are inserted (i.e., prevents duplicates). Contouring primitives can be vertices, lines, or polygons. It is possible to interpolate point data along the edge by providing input and output point data - if outPd is nullptr, then no interpolation is performed. Also, if the output cell data is non-nullptr, the cell data from the contoured cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.)

Implements vtkCell.

◆ EvaluatePosition()

int vtkBiQuadraticTriangle::EvaluatePosition	(	const double	x[3],
		double	closestPoint[3],
		int &	subId,
		double	pcoords[3],
		double &	dist2,
		double	weights[]
	)

overridevirtual

Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

(The number of weights is equal to the number of points defining the cell). Note: on rare occasions a -1 is returned from the method. This means that numerical error has occurred and all data returned from this method should be ignored. Also, inside/outside is determine parametrically. That is, a point is inside if it satisfies parametric limits. This can cause problems for cells of topological dimension 2 or less, since a point in 3D can project onto the cell within parametric limits but be "far" from the cell. Thus the value dist2 may be checked to determine true in/out.

Implements vtkCell.

◆ EvaluateLocation()

void vtkBiQuadraticTriangle::EvaluateLocation	(	int &	subId,
		const double	pcoords[3],
		double	x[3],
		double *	weights
	)

overridevirtual

Determine global coordinate (x[3]) from subId and parametric coordinates.

Also returns interpolation weights. (The number of weights is equal to the number of points in the cell.)

Implements vtkCell.

◆ TriangulateLocalIds()

int vtkBiQuadraticTriangle::TriangulateLocalIds	(	int	index,
		vtkIdList *	ptIds
	)

overridevirtual

Generate simplices of proper dimension.

If cell is 3D, tetrahedra are generated; if 2D triangles; if 1D lines; if 0D points. The form of the output is a sequence of points, each n+1 points (where n is topological cell dimension) defining a simplex. The index is a parameter that controls which triangulation to use (if more than one is possible). If numerical degeneracy encountered, 0 is returned, otherwise 1 is returned. This method does not insert new points: all the points that define the simplices are the points that define the cell. ptIds are the local indices with respect to the cell

Implements vtkCell.

◆ Derivatives()

void vtkBiQuadraticTriangle::Derivatives	(	int	subId,
		const double	pcoords[3],
		const double *	values,
		int	dim,
		double *	derivs
	)

overridevirtual

Compute derivatives given cell subId and parametric coordinates.

The values array is a series of data value(s) at the cell points. There is a one-to-one correspondence between cell point and data value(s). Dim is the number of data values per cell point. Derivs are derivatives in the x-y-z coordinate directions for each data value. Thus, if computing derivatives for a scalar function in a hexahedron, dim=1, 8 values are supplied, and 3 deriv values are returned (i.e., derivatives in x-y-z directions). On the other hand, if computing derivatives of velocity (vx,vy,vz) dim=3, 24 values are supplied ((vx,vy,vz)1, (vx,vy,vz)2, ....()8), and 9 deriv values are returned ((d(vx)/dx),(d(vx)/dy),(d(vx)/dz), (d(vy)/dx),(d(vy)/dy), (d(vy)/dz), (d(vz)/dx),(d(vz)/dy),(d(vz)/dz)).

Implements vtkCell.

◆ GetParametricCoords()

double * vtkBiQuadraticTriangle::GetParametricCoords ( )

overridevirtual

Return a contiguous array of parametric coordinates of the points defining this cell.

In other words, (px,py,pz, px,py,pz, etc..) The coordinates are ordered consistent with the definition of the point ordering for the cell. This method returns a non-nullptr pointer when the cell is a primary type (i.e., IsPrimaryCell() is true). Note that 3D parametric coordinates are returned no matter what the topological dimension of the cell.

Reimplemented from vtkCell.

◆ Clip()

void vtkBiQuadraticTriangle::Clip	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	polys,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd,
		int	insideOut
	)

overridevirtual

Clip this quadratic triangle using scalar value provided.

Like contouring, except that it cuts the triangle to produce linear triangles.

Implements vtkCell.

◆ IntersectWithLine()

int vtkBiQuadraticTriangle::IntersectWithLine	(	const double	p1[3],
		const double	p2[3],
		double	tol,
		double &	t,
		double	x[3],
		double	pcoords[3],
		int &	subId
	)

overridevirtual

Line-edge intersection.

Intersection has to occur within [0,1] parametric coordinates and with specified tolerance.

Implements vtkCell.

◆ GetParametricCenter()

int vtkBiQuadraticTriangle::GetParametricCenter ( double pcoords[3] )

inlineoverridevirtual

Return the center of the quadratic triangle in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 148 of file vtkBiQuadraticTriangle.h.

◆ GetParametricDistance()

double vtkBiQuadraticTriangle::GetParametricDistance ( const double pcoords[3] )

overridevirtual

Return the distance of the parametric coordinate provided to the cell.

If inside the cell, a distance of zero is returned.

Reimplemented from vtkCell.

◆ InterpolationFunctions()

static void vtkBiQuadraticTriangle::InterpolationFunctions	(	const double	pcoords[3],
		double	weights[7]
	)

static

◆ InterpolationDerivs()

static void vtkBiQuadraticTriangle::InterpolationDerivs	(	const double	pcoords[3],
		double	derivs[14]
	)

static

◆ InterpolateFunctions()

void vtkBiQuadraticTriangle::InterpolateFunctions	(	const double	pcoords[3],
		double	weights[7]
	)

inlineoverride

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 125 of file vtkBiQuadraticTriangle.h.

◆ InterpolateDerivs()

void vtkBiQuadraticTriangle::InterpolateDerivs	(	const double	pcoords[3],
		double	derivs[14]
	)

inlineoverride

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 129 of file vtkBiQuadraticTriangle.h.

Member Data Documentation

◆ Edge

vtkQuadraticEdge* vtkBiQuadraticTriangle::Edge

protected

Definition at line 139 of file vtkBiQuadraticTriangle.h.

◆ Face

vtkTriangle* vtkBiQuadraticTriangle::Face

protected

Definition at line 140 of file vtkBiQuadraticTriangle.h.

◆ Scalars

vtkDoubleArray* vtkBiQuadraticTriangle::Scalars

protected

Definition at line 141 of file vtkBiQuadraticTriangle.h.

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

Common/DataModel/vtkBiQuadraticTriangle.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

◆ vtkBiQuadraticTriangle()

◆ ~vtkBiQuadraticTriangle()

Member Function Documentation

◆ New()

◆ IsTypeOf()

◆ IsA()

◆ SafeDownCast()

◆ NewInstanceInternal()

◆ NewInstance()

◆ PrintSelf()

◆ GetCellType()

◆ GetCellDimension()

◆ GetNumberOfEdges()

◆ GetNumberOfFaces()

◆ GetEdge()

◆ GetFace()

◆ CellBoundary()

◆ Contour()

◆ EvaluatePosition()

◆ EvaluateLocation()

◆ TriangulateLocalIds()

◆ Derivatives()

◆ GetParametricCoords()

◆ Clip()

◆ IntersectWithLine()

◆ GetParametricCenter()

◆ GetParametricDistance()

◆ InterpolationFunctions()

◆ InterpolationDerivs()

◆ InterpolateFunctions()

◆ InterpolateDerivs()

Member Data Documentation

◆ Edge

◆ Face

◆ Scalars