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vtkTetra Class Reference

a 3D cell that represents a tetrahedron More...

#include <vtkTetra.h>

Inheritance diagram for vtkTetra:
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Collaboration diagram for vtkTetra:
[legend]

Public Types

typedef vtkCell3D Superclass
 
- Public Types inherited from vtkCell3D
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)
 
vtkTetraNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent)
 
int CellBoundary (int subId, double pcoords[3], vtkIdList *pts)
 
int GetParametricCenter (double pcoords[3])
 
double GetParametricDistance (double pcoords[3])
 
int JacobianInverse (double **inverse, double derivs[12])
 
virtual void GetEdgePoints (int edgeId, int *&pts)
 
virtual void GetFacePoints (int faceId, int *&pts)
 
int GetCellType ()
 
int GetNumberOfEdges ()
 
int GetNumberOfFaces ()
 
vtkCellGetEdge (int edgeId)
 
vtkCellGetFace (int faceId)
 
void Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
 
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
 
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 IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
 
int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
 
void Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)
 
virtual doubleGetParametricCoords ()
 
virtual void InterpolateFunctions (double pcoords[3], double weights[4])
 
virtual void InterpolateDerivs (double pcoords[3], double derivs[12])
 
- Public Member Functions inherited from vtkCell3D
vtkCell3DNewInstance () const
 
virtual int GetCellDimension ()
 
virtual void SetMergeTolerance (double)
 
virtual double GetMergeTolerance ()
 
- Public Member Functions inherited from vtkCell
vtkCellNewInstance () const
 
void Initialize (int npts, vtkIdType *pts, vtkPoints *p)
 
virtual void ShallowCopy (vtkCell *c)
 
virtual void DeepCopy (vtkCell *c)
 
virtual int IsLinear ()
 
virtual int IsExplicitCell ()
 
vtkPointsGetPoints ()
 
vtkIdType GetNumberOfPoints ()
 
vtkIdListGetPointIds ()
 
vtkIdType GetPointId (int ptId)
 
void GetBounds (double bounds[6])
 
doubleGetBounds ()
 
double GetLength2 ()
 
virtual int IsPrimaryCell ()
 
virtual int RequiresInitialization ()
 
virtual void Initialize ()
 
virtual int RequiresExplicitFaceRepresentation ()
 
virtual void SetFaces (vtkIdType *vtkNotUsed(faces))
 
virtual vtkIdTypeGetFaces ()
 
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
vtkObjectNewInstance () 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)
 
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 vtkTetraNew ()
 
static int IsTypeOf (const char *type)
 
static vtkTetraSafeDownCast (vtkObjectBase *o)
 
static void InterpolationFunctions (double pcoords[3], double weights[4])
 
static void InterpolationDerivs (double pcoords[3], double derivs[12])
 
static void TetraCenter (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 
static double Circumsphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 
static double Insphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 
static int BarycentricCoords (double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4])
 
static double ComputeVolume (double p1[3], double p2[3], double p3[3], double p4[3])
 
static intGetEdgeArray (int edgeId)
 
static intGetFaceArray (int faceId)
 
- Static Public Member Functions inherited from vtkCell3D
static int IsTypeOf (const char *type)
 
static vtkCell3DSafeDownCast (vtkObjectBase *o)
 
- Static Public Member Functions inherited from vtkCell
static int IsTypeOf (const char *type)
 
static vtkCellSafeDownCast (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
 
 vtkTetra ()
 
 ~vtkTetra ()
 
- Protected Member Functions inherited from vtkCell3D
 vtkCell3D ()
 
 ~vtkCell3D ()
 
- 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

vtkLineLine
 
vtkTriangleTriangle
 
- Protected Attributes inherited from vtkCell3D
vtkOrderedTriangulatorTriangulator
 
double MergeTolerance
 
vtkTetraClipTetra
 
vtkDoubleArrayClipScalars
 
- 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
vtkPointsPoints
 
vtkIdListPointIds
 

Detailed Description

a 3D cell that represents a tetrahedron

vtkTetra is a concrete implementation of vtkCell to represent a 3D tetrahedron. vtkTetra uses the standard isoparametric shape functions for a linear tetrahedron. The tetrahedron is defined by the four points (0-3); where (0,1,2) is the base of the tetrahedron which, using the right hand rule, forms a triangle whose normal points in the direction of the fourth point.

See also
vtkConvexPointSet vtkHexahedron vtkPyramid vtkVoxel vtkWedge
Examples:
vtkTetra (Examples)
Tests:
vtkTetra (Tests)

Definition at line 46 of file vtkTetra.h.

Member Typedef Documentation

Definition at line 50 of file vtkTetra.h.

Constructor & Destructor Documentation

vtkTetra::vtkTetra ( )
protected
vtkTetra::~vtkTetra ( )
protected

Member Function Documentation

static vtkTetra* vtkTetra::New ( )
static
static int vtkTetra::IsTypeOf ( const char *  type)
static
virtual int vtkTetra::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 vtkCell3D.

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

Reimplemented from vtkCell3D.

vtkTetra* vtkTetra::NewInstance ( ) const
void vtkTetra::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 vtkCell3D.

virtual void vtkTetra::GetEdgePoints ( int  edgeId,
int *&  pts 
)
virtual

See vtkCell3D API for description of these methods.

Implements vtkCell3D.

virtual void vtkTetra::GetFacePoints ( int  faceId,
int *&  pts 
)
virtual

See vtkCell3D API for description of these methods.

Implements vtkCell3D.

int vtkTetra::GetCellType ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 61 of file vtkTetra.h.

int vtkTetra::GetNumberOfEdges ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 62 of file vtkTetra.h.

int vtkTetra::GetNumberOfFaces ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 63 of file vtkTetra.h.

vtkCell* vtkTetra::GetEdge ( int  edgeId)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

vtkCell* vtkTetra::GetFace ( int  faceId)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell3D.

void vtkTetra::Clip ( double  value,
vtkDataArray cellScalars,
vtkIncrementalPointLocator locator,
vtkCellArray connectivity,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd,
int  insideOut 
)
virtual

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell3D.

int vtkTetra::EvaluatePosition ( double  x[3],
double closestPoint,
int subId,
double  pcoords[3],
double dist2,
double weights 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTetra::EvaluateLocation ( int subId,
double  pcoords[3],
double  x[3],
double weights 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkTetra::Triangulate ( int  index,
vtkIdList ptIds,
vtkPoints pts 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

virtual double* vtkTetra::GetParametricCoords ( )
virtual

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell.

int vtkTetra::CellBoundary ( int  subId,
double  pcoords[3],
vtkIdList pts 
)
virtual

Returns the set of points that are on the boundary of the tetrahedron that are closest parametrically to the point specified. This may include faces, edges, or vertices.

Implements vtkCell.

int vtkTetra::GetParametricCenter ( double  pcoords[3])
inlinevirtual

Return the center of the tetrahedron in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 187 of file vtkTetra.h.

double vtkTetra::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 vtkTetra::TetraCenter ( double  p1[3],
double  p2[3],
double  p3[3],
double  p4[3],
double  center[3] 
)
static

Compute the center of the tetrahedron,

static double vtkTetra::Circumsphere ( double  p1[3],
double  p2[3],
double  p3[3],
double  p4[3],
double  center[3] 
)
static

Compute the circumcenter (center[3]) and radius squared (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4.

static double vtkTetra::Insphere ( double  p1[3],
double  p2[3],
double  p3[3],
double  p4[3],
double  center[3] 
)
static

Compute the center (center[3]) and radius (method return value) of a sphere that just fits inside the faces of a tetrahedron defined by the four points x1, x2, x3, and x4.

static int vtkTetra::BarycentricCoords ( double  x[3],
double  x1[3],
double  x2[3],
double  x3[3],
double  x4[3],
double  bcoords[4] 
)
static

Given a 3D point x[3], determine the barycentric coordinates of the point. Barycentric coordinates are a natural coordinate system for simplices that express a position as a linear combination of the vertices. For a tetrahedron, there are four barycentric coordinates (because there are four vertices), and the sum of the coordinates must equal 1. If a point x is inside a simplex, then all four coordinates will be strictly positive. If three coordinates are zero (so the fourth =1), then the point x is on a vertex. If two coordinates are zero, the point x is on an edge (and so on). In this method, you must specify the vertex coordinates x1->x4. Returns 0 if tetrahedron is degenerate.

static double vtkTetra::ComputeVolume ( double  p1[3],
double  p2[3],
double  p3[3],
double  p4[3] 
)
static

Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4.

int vtkTetra::JacobianInverse ( double **  inverse,
double  derivs[12] 
)

Given parametric coordinates compute inverse Jacobian transformation matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives. Returns 0 if no inverse exists.

static void vtkTetra::InterpolationFunctions ( double  pcoords[3],
double  weights[4] 
)
static
Deprecated:
Replaced by vtkTetra::InterpolateFunctions as of VTK 5.2
static void vtkTetra::InterpolationDerivs ( double  pcoords[3],
double  derivs[12] 
)
static
Deprecated:
Replaced by vtkTetra::InterpolateDerivs as of VTK 5.2
virtual void vtkTetra::InterpolateFunctions ( double  pcoords[3],
double  weights[4] 
)
inlinevirtual

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

Definition at line 158 of file vtkTetra.h.

virtual void vtkTetra::InterpolateDerivs ( double  pcoords[3],
double  derivs[12] 
)
inlinevirtual

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

Definition at line 162 of file vtkTetra.h.

static int* vtkTetra::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* vtkTetra::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.

Member Data Documentation

vtkLine* vtkTetra::Line
protected

Definition at line 179 of file vtkTetra.h.

vtkTriangle* vtkTetra::Triangle
protected

Definition at line 180 of file vtkTetra.h.


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