vtkQuadraticTetra Class Reference

cell represents a parabolic, 10-node isoparametric tetrahedron More...

#include <vtkQuadraticTetra.h>

Inheritance diagram for vtkQuadraticTetra:

Collaboration diagram for vtkQuadraticTetra:

Public Types
typedef vtkNonLinearCell	Superclass
Public Types inherited from vtkNonLinearCell
typedef vtkCell	Superclass
Public Types inherited from vtkCell
typedef vtkObject	Superclass
Public Types inherited from vtkObject
typedef vtkObjectBase	Superclass

Public Member Functions
virtual int	IsA (const char *type)
vtkQuadraticTetra *	NewInstance () const
void	PrintSelf (ostream &os, vtkIndent indent)
int	CellBoundary (int subId, double pcoords[3], vtkIdList *pts)
void	Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
int	EvaluatePosition (double x[3], double *closestPoint, int &subId, double pcoords[3], double &dist2, double *weights)
void	EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights)
int	Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
void	Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)
virtual double *	GetParametricCoords ()
int	GetParametricCenter (double pcoords[3])
double	GetParametricDistance (double pcoords[3])
void	JacobianInverse (double pcoords[3], double **inverse, double derivs[30])
int	GetCellType ()
int	GetCellDimension ()
int	GetNumberOfEdges ()
int	GetNumberOfFaces ()
vtkCell *	GetEdge (int)
vtkCell *	GetFace (int)
void	Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *tetras, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
int	IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
virtual void	InterpolateFunctions (double pcoords[3], double weights[10])
virtual void	InterpolateDerivs (double pcoords[3], double derivs[30])
Public Member Functions inherited from vtkNonLinearCell
vtkNonLinearCell *	NewInstance () const
virtual int	IsLinear ()
Public Member Functions inherited from vtkCell
vtkCell *	NewInstance () const
void	Initialize (int npts, vtkIdType *pts, vtkPoints *p)
virtual void	ShallowCopy (vtkCell *c)
virtual void	DeepCopy (vtkCell *c)
virtual int	IsExplicitCell ()
vtkPoints *	GetPoints ()
vtkIdType	GetNumberOfPoints ()
vtkIdList *	GetPointIds ()
vtkIdType	GetPointId (int ptId)
void	GetBounds (double bounds[6])
double *	GetBounds ()
double	GetLength2 ()
virtual int	IsPrimaryCell ()
virtual int	RequiresInitialization ()
virtual void	Initialize ()
virtual int	RequiresExplicitFaceRepresentation ()
virtual void	SetFaces (vtkIdType *vtkNotUsed(faces))
virtual vtkIdType *	GetFaces ()
virtual void	InterpolateFunctions (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
virtual void	InterpolateDerivs (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
Public Member Functions inherited from vtkObject
vtkObject *	NewInstance () const
virtual void	DebugOn ()
virtual void	DebugOff ()
bool	GetDebug ()
void	SetDebug (bool debugFlag)
virtual void	Modified ()
virtual unsigned long	GetMTime ()
unsigned long	AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
unsigned long	AddObserver (const char *event, vtkCommand *, float priority=0.0f)
vtkCommand *	GetCommand (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 vtkQuadraticTetra *	New ()
static int	IsTypeOf (const char *type)
static vtkQuadraticTetra *	SafeDownCast (vtkObjectBase *o)
static void	InterpolationFunctions (double pcoords[3], double weights[10])
static void	InterpolationDerivs (double pcoords[3], double derivs[30])
static int *	GetEdgeArray (int edgeId)
static int *	GetFaceArray (int faceId)
Static Public Member Functions inherited from vtkNonLinearCell
static int	IsTypeOf (const char *type)
static vtkNonLinearCell *	SafeDownCast (vtkObjectBase *o)
Static Public Member Functions inherited from vtkCell
static int	IsTypeOf (const char *type)
static vtkCell *	SafeDownCast (vtkObjectBase *o)
Static Public Member Functions inherited from vtkObject
static int	IsTypeOf (const char *type)
static vtkObject *	SafeDownCast (vtkObjectBase *o)
static vtkObject *	New ()
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 vtkObjectBase *	New ()

Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const
	vtkQuadraticTetra ()
	~vtkQuadraticTetra ()
Protected Member Functions inherited from vtkNonLinearCell
	vtkNonLinearCell ()
	~vtkNonLinearCell ()
Protected Member Functions inherited from vtkCell
	vtkCell ()
	~vtkCell ()
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
vtkQuadraticEdge *	Edge
vtkQuadraticTriangle *	Face
vtkTetra *	Tetra
vtkDoubleArray *	Scalars
Protected Attributes inherited from vtkCell
double	Bounds [6]
Protected Attributes inherited from vtkObject
bool	Debug
vtkTimeStamp	MTime
vtkSubjectHelper *	SubjectHelper
Protected Attributes inherited from vtkObjectBase
vtkAtomicInt32	ReferenceCount
vtkWeakPointerBase **	WeakPointers

Additional Inherited Members
Public Attributes inherited from vtkCell
vtkPoints *	Points
vtkIdList *	PointIds

Detailed Description

cell represents a parabolic, 10-node isoparametric tetrahedron

vtkQuadraticTetra is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 10-node, isoparametric parabolic tetrahedron. The interpolation is the standard finite element, quadratic isoparametric shape function. The cell includes a mid-edge node on each of the size edges of the tetrahedron. The ordering of the ten points defining the cell is point ids (0-3,4-9) where ids 0-3 are the four tetra vertices; and point ids 4-9 are the midedge nodes between (0,1), (1,2), (2,0), (0,3), (1,3), and (2,3).

Note that this class uses an internal linear tesselation for some internal operations (e.g., clipping and contouring). This means that some artifacts may appear trying to represent a non-linear interpolation function with linear tets.

See also

vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticWedge vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticPyramid

Tests:

vtkQuadraticTetra (Tests)

Definition at line 50 of file vtkQuadraticTetra.h.

Member Typedef Documentation

typedef vtkNonLinearCell vtkQuadraticTetra::Superclass

Definition at line 54 of file vtkQuadraticTetra.h.

Constructor & Destructor Documentation

vtkQuadraticTetra::vtkQuadraticTetra ( )

protected

vtkQuadraticTetra::~vtkQuadraticTetra ( )

protected

Member Function Documentation

static vtkQuadraticTetra* vtkQuadraticTetra::New ( )

static

static int vtkQuadraticTetra::IsTypeOf ( const char *  type )

static

virtual int vtkQuadraticTetra::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.

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

static

virtual vtkObjectBase* vtkQuadraticTetra::NewInstanceInternal ( ) const

protectedvirtual

Reimplemented from vtkNonLinearCell.

vtkQuadraticTetra* vtkQuadraticTetra::NewInstance

(

)

const

void vtkQuadraticTetra::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 vtkNonLinearCell.

int vtkQuadraticTetra::GetCellType ( )

inlinevirtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 60 of file vtkQuadraticTetra.h.

int vtkQuadraticTetra::GetCellDimension ( )

inlinevirtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 61 of file vtkQuadraticTetra.h.

int vtkQuadraticTetra::GetNumberOfEdges ( )

inlinevirtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 62 of file vtkQuadraticTetra.h.

int vtkQuadraticTetra::GetNumberOfFaces ( )

inlinevirtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 63 of file vtkQuadraticTetra.h.

vtkCell* vtkQuadraticTetra::GetEdge ( int  )

virtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

vtkCell* vtkQuadraticTetra::GetFace ( int  )

virtual

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

virtual

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.

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

virtual

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 NULL, then no interpolation is performed. Also, if the output cell data is non-NULL, 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.

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

virtual

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.

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

virtual

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.

int vtkQuadraticTetra::Triangulate ( int  index, vtkIdList *  ptIds, vtkPoints *  pts  )

virtual

Generate simplices of proper dimension. If cell is 3D, tetrahedron 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.

Implements vtkCell.

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

virtual

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.

virtual double* vtkQuadraticTetra::GetParametricCoords ( )

virtual

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-NULL 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.

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

virtual

Clip this edge using scalar value provided. Like contouring, except that it cuts the tetra to produce new tetras.

Implements vtkCell.

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

virtual

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

Implements vtkCell.

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

virtual

Return the center of the quadratic tetra in parametric coordinates.

Reimplemented from vtkCell.

double vtkQuadraticTetra::GetParametricDistance ( double  pcoords[3] )

virtual

Return the distance of the parametric coordinate provided to the cell. If inside the cell, a distance of zero is returned.

Reimplemented from vtkCell.

static void vtkQuadraticTetra::InterpolationFunctions ( double  pcoords[3], double  weights[10]  )

static

Deprecated:

Replaced by vtkQuadraticTetra::InterpolateFunctions as of VTK 5.2

static void vtkQuadraticTetra::InterpolationDerivs ( double  pcoords[3], double  derivs[30]  )

static

Deprecated:

Replaced by vtkQuadraticTetra::InterpolateDerivs as of VTK 5.2

virtual void vtkQuadraticTetra::InterpolateFunctions ( double  pcoords[3], double  weights[10]  )

inlinevirtual

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

Definition at line 118 of file vtkQuadraticTetra.h.

virtual void vtkQuadraticTetra::InterpolateDerivs ( double  pcoords[3], double  derivs[30]  )

inlinevirtual

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

Definition at line 122 of file vtkQuadraticTetra.h.

static int* vtkQuadraticTetra::GetEdgeArray ( int  edgeId )

static

Return the ids of the vertices defining edge/face (edgeId/`faceId'). Ids are related to the cell, not to the dataset.

static int* vtkQuadraticTetra::GetFaceArray ( int  faceId )

static

Return the ids of the vertices defining edge/face (edgeId/`faceId'). Ids are related to the cell, not to the dataset.

void vtkQuadraticTetra::JacobianInverse	(	double	pcoords[3],
		double **	inverse,
		double	derivs[30]
	)

Given parametric coordinates compute inverse Jacobian transformation matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives.

Member Data Documentation

vtkQuadraticEdge* vtkQuadraticTetra::Edge

protected

Definition at line 143 of file vtkQuadraticTetra.h.

vtkQuadraticTriangle* vtkQuadraticTetra::Face

protected

Definition at line 144 of file vtkQuadraticTetra.h.

vtkTetra* vtkQuadraticTetra::Tetra

protected

Definition at line 145 of file vtkQuadraticTetra.h.

vtkDoubleArray* vtkQuadraticTetra::Scalars

protected

Definition at line 146 of file vtkQuadraticTetra.h.

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

• /home/boeckb/code/depot/group-kitware/vtk/build-release/Utilities/Doxygen/dox/Common/DataModel/vtkQuadraticTetra.h