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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 Member Functions

virtual int IsA (const char *type)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
vtkTetraNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
void GetEdgePoints (int edgeId, int *&pts) override
 See vtkCell3D API for description of these methods. More...
 
void GetFacePoints (int faceId, int *&pts) override
 Get the list of vertices that define a face. More...
 
int GetCellType () override
 See the vtkCell API for descriptions of these methods. More...
 
int GetNumberOfEdges () override
 Return the number of edges in the cell. More...
 
int GetNumberOfFaces () override
 Return the number of faces in the cell. More...
 
vtkCellGetEdge (int edgeId) override
 Return the edge cell from the edgeId of the cell. More...
 
vtkCellGetFace (int faceId) override
 Return the face cell from the faceId of the cell. More...
 
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. More...
 
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
 Cut (or clip) the cell based on the input cellScalars and the specified value. More...
 
int EvaluatePosition (double x[3], double *closestPoint, 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. More...
 
void EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights) override
 Determine global coordinate (x[3]) from subId and parametric coordinates. More...
 
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
 Intersect with a ray. More...
 
int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts) override
 Generate simplices of proper dimension. More...
 
void Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs) override
 Compute derivatives given cell subId and parametric coordinates. More...
 
doubleGetParametricCoords () override
 Return a contiguous array of parametric coordinates of the points defining this cell. More...
 
int CellBoundary (int subId, double pcoords[3], vtkIdList *pts) override
 Returns the set of points that are on the boundary of the tetrahedron that are closest parametrically to the point specified. More...
 
int GetParametricCenter (double pcoords[3]) override
 Return the center of the tetrahedron in parametric coordinates. More...
 
double GetParametricDistance (double pcoords[3]) override
 Return the distance of the parametric coordinate provided to the cell. More...
 
int JacobianInverse (double **inverse, double derivs[12])
 Given parametric coordinates compute inverse Jacobian transformation matrix. More...
 
void InterpolateFunctions (double pcoords[3], double weights[4]) override
 Compute the interpolation functions/derivatives (aka shape functions/derivatives) More...
 
void InterpolateDerivs (double pcoords[3], double derivs[12]) override
 
- Public Member Functions inherited from vtkCell3D
virtual int IsA (const char *type)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
vtkCell3DNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void GetEdgePoints (int edgeId, int *&pts)=0
 Get the pair of vertices that define an edge. More...
 
virtual void GetFacePoints (int faceId, int *&pts)=0
 Get the list of vertices that define a face. More...
 
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. More...
 
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
 Cut (or clip) the cell based on the input cellScalars and the specified value. More...
 
int GetCellDimension () override
 The topological dimension of the cell. More...
 
virtual void SetMergeTolerance (double)
 Set the tolerance for merging clip intersection points that are near the vertices of cells. More...
 
virtual double GetMergeTolerance ()
 
- Public Member Functions inherited from vtkCell
virtual int IsA (const char *type)
 Return 1 if this class is the same type of (or a subclass of) the named class. More...
 
vtkCellNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent) override
 Methods invoked by print to print information about the object including superclasses. More...
 
void Initialize (int npts, vtkIdType *pts, vtkPoints *p)
 Initialize cell from outside with point ids and point coordinates specified. More...
 
virtual void ShallowCopy (vtkCell *c)
 Copy this cell by reference counting the internal data structures. More...
 
virtual void DeepCopy (vtkCell *c)
 Copy this cell by completely copying internal data structures. More...
 
virtual int GetCellType ()=0
 Return the type of cell. More...
 
virtual int GetCellDimension ()=0
 Return the topological dimensional of the cell (0,1,2, or 3). More...
 
virtual int IsLinear ()
 Non-linear cells require special treatment beyond the usual cell type and connectivity list information. More...
 
virtual int RequiresInitialization ()
 Some cells require initialization prior to access. More...
 
virtual void Initialize ()
 
virtual int IsExplicitCell ()
 Explicit cells require additional representational information beyond the usual cell type and connectivity list information. More...
 
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). More...
 
virtual void SetFaces (vtkIdType *vtkNotUsed(faces))
 
virtual vtkIdTypeGetFaces ()
 
vtkPointsGetPoints ()
 Get the point coordinates for the cell. More...
 
vtkIdType GetNumberOfPoints ()
 Return the number of points in the cell. More...
 
virtual int GetNumberOfEdges ()=0
 Return the number of edges in the cell. More...
 
virtual int GetNumberOfFaces ()=0
 Return the number of faces in the cell. More...
 
vtkIdListGetPointIds ()
 Return the list of point ids defining the cell. More...
 
vtkIdType GetPointId (int ptId)
 For cell point i, return the actual point id. More...
 
virtual vtkCellGetEdge (int edgeId)=0
 Return the edge cell from the edgeId of the cell. More...
 
virtual vtkCellGetFace (int faceId)=0
 Return the face cell from the faceId of the cell. More...
 
virtual int CellBoundary (int subId, 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. More...
 
virtual int EvaluatePosition (double x[3], double *closestPoint, 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. More...
 
virtual void EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights)=0
 Determine global coordinate (x[3]) from subId and parametric coordinates. More...
 
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. More...
 
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. More...
 
virtual int IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
 Intersect with a ray. More...
 
virtual int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)=0
 Generate simplices of proper dimension. More...
 
virtual void Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)=0
 Compute derivatives given cell subId and parametric coordinates. More...
 
void GetBounds (double bounds[6])
 Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax). More...
 
doubleGetBounds ()
 Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax). More...
 
double GetLength2 ()
 Compute Length squared of cell (i.e., bounding box diagonal squared). More...
 
virtual int GetParametricCenter (double pcoords[3])
 Return center of the cell in parametric coordinates. More...
 
virtual double GetParametricDistance (double pcoords[3])
 Return the distance of the parametric coordinate provided to the cell. More...
 
virtual int IsPrimaryCell ()
 Return whether this cell type has a fixed topology or whether the topology varies depending on the data (e.g., vtkConvexPointSet). More...
 
virtual doubleGetParametricCoords ()
 Return a contiguous array of parametric coordinates of the points defining this cell. More...
 
virtual void InterpolateFunctions (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
 Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this level. More...
 
virtual void InterpolateDerivs (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
 
- 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...
 
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)
 
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)
 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)
 
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)
 
int InvokeEvent (unsigned long event)
 
int InvokeEvent (const char *event)
 
- 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 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 PrintSelf (ostream &os, vtkIndent indent)
 Methods invoked by print to print information about the object including superclasses. More...
 
virtual void PrintHeader (ostream &os, vtkIndent indent)
 
virtual void PrintTrailer (ostream &os, vtkIndent indent)
 
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...
 
void PrintRevisions (ostream &)
 Legacy. More...
 

Static Public Member Functions

static vtkTetraNew ()
 
static int IsTypeOf (const char *type)
 
static vtkTetraSafeDownCast (vtkObjectBase *o)
 
static void TetraCenter (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 Compute the center of the tetrahedron,. More...
 
static double Circumsphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 Compute the circumcenter (center[3]) and radius squared (method return value) of a tetrahedron defined by the four points x1, x2, x3, and x4. More...
 
static double Insphere (double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
 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. More...
 
static int BarycentricCoords (double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4])
 Given a 3D point x[3], determine the barycentric coordinates of the point. More...
 
static double ComputeVolume (double p1[3], double p2[3], double p3[3], double p4[3])
 Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4. More...
 
static void InterpolationFunctions (double pcoords[3], double weights[4])
 
static void InterpolationDerivs (double pcoords[3], double derivs[12])
 
static intGetEdgeArray (int edgeId)
 Return the ids of the vertices defining edge/face (edgeId/‘faceId’). More...
 
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 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 ()
 
static void GlobalWarningDisplayOff ()
 
static int GetGlobalWarningDisplay ()
 
- 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 vtkObjectBaseNew ()
 Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More...
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkTetra ()
 
 ~vtkTetra () override
 
- Protected Member Functions inherited from vtkCell3D
virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkCell3D ()
 
 ~vtkCell3D () override
 
- Protected Member Functions inherited from vtkCell
virtual vtkObjectBaseNewInstanceInternal () 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=NULL)
 These methods allow a command to exclusively grab all events. More...
 
void InternalReleaseFocus ()
 
- Protected Member Functions inherited from vtkObjectBase
 vtkObjectBase ()
 
virtual ~vtkObjectBase ()
 
virtual void CollectRevisions (ostream &)
 
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

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 47 of file vtkTetra.h.

Member Typedef Documentation

◆ Superclass

Definition at line 51 of file vtkTetra.h.

Constructor & Destructor Documentation

◆ vtkTetra()

vtkTetra::vtkTetra ( )
protected

◆ ~vtkTetra()

vtkTetra::~vtkTetra ( )
overrideprotected

Member Function Documentation

◆ New()

static vtkTetra * vtkTetra::New ( )
static

◆ IsTypeOf()

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

◆ IsA()

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.

◆ SafeDownCast()

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

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkTetra::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkCell3D.

◆ NewInstance()

vtkTetra * vtkTetra::NewInstance ( ) const

◆ PrintSelf()

void vtkTetra::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 vtkCell3D.

◆ GetEdgePoints()

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

See vtkCell3D API for description of these methods.

Implements vtkCell3D.

◆ GetFacePoints()

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

Get the list of vertices that define a face.

The list is terminated with a negative number. Note that the vertices are 0-offset; that is, they refer to the ids of the cell, not the point ids of the mesh that the cell belongs to. The faceId must range between 0<=faceId<this->GetNumberOfFaces().

Implements vtkCell3D.

◆ GetCellType()

int vtkTetra::GetCellType ( )
inlineoverridevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 66 of file vtkTetra.h.

◆ GetNumberOfEdges()

int vtkTetra::GetNumberOfEdges ( )
inlineoverridevirtual

Return the number of edges in the cell.

Implements vtkCell.

Definition at line 67 of file vtkTetra.h.

◆ GetNumberOfFaces()

int vtkTetra::GetNumberOfFaces ( )
inlineoverridevirtual

Return the number of faces in the cell.

Implements vtkCell.

Definition at line 68 of file vtkTetra.h.

◆ GetEdge()

vtkCell * vtkTetra::GetEdge ( int  edgeId)
overridevirtual

Return the edge cell from the edgeId of the cell.

Implements vtkCell.

◆ GetFace()

vtkCell * vtkTetra::GetFace ( int  faceId)
overridevirtual

Return the face cell from the faceId of the cell.

Implements vtkCell.

◆ Contour()

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 
)
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 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.)

Reimplemented from vtkCell3D.

◆ Clip()

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

Cut (or clip) the cell based on the input cellScalars and the specified value.

The output of the clip operation will be one or more cells of the same topological dimension as the original cell. The flag insideOut controls what part of the cell is considered inside - normally cell points whose scalar value is greater than "value" are considered inside. If insideOut is on, this is reversed. Also, if the output cell data is non-NULL, the cell data from the clipped 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.) (Satisfies vtkCell API.)

Reimplemented from vtkCell3D.

◆ EvaluatePosition()

int vtkTetra::EvaluatePosition ( double  x[3],
double closestPoint,
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 vtkTetra::EvaluateLocation ( int subId,
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.

◆ IntersectWithLine()

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

Intersect with a ray.

Return parametric coordinates (both line and cell) and global intersection coordinates, given ray definition p1[3], p2[3] and tolerance tol. The method returns non-zero value if intersection occurs. A parametric distance t between 0 and 1 along the ray representing the intersection point, the point coordinates x[3] in data coordinates and also pcoords[3] in parametric coordinates. subId is the index within the cell if a composed cell like a triangle strip.

Implements vtkCell.

◆ Triangulate()

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

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.

◆ Derivatives()

void vtkTetra::Derivatives ( int  subId,
double  pcoords[3],
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 * vtkTetra::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-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.

◆ CellBoundary()

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

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.

◆ GetParametricCenter()

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

Return the center of the tetrahedron in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 207 of file vtkTetra.h.

◆ GetParametricDistance()

double vtkTetra::GetParametricDistance ( 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.

◆ TetraCenter()

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,.

◆ Circumsphere()

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.

◆ Insphere()

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.

◆ BarycentricCoords()

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.

◆ ComputeVolume()

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.

◆ JacobianInverse()

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.

◆ InterpolationFunctions()

static void vtkTetra::InterpolationFunctions ( double  pcoords[3],
double  weights[4] 
)
static
Deprecated:
Replaced by vtkTetra::InterpolateFunctions as of VTK 5.2

◆ InterpolationDerivs()

static void vtkTetra::InterpolationDerivs ( double  pcoords[3],
double  derivs[12] 
)
static
Deprecated:
Replaced by vtkTetra::InterpolateDerivs as of VTK 5.2

◆ InterpolateFunctions()

void vtkTetra::InterpolateFunctions ( double  pcoords[3],
double  weights[4] 
)
inlineoverride

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

Definition at line 176 of file vtkTetra.h.

◆ InterpolateDerivs()

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

Definition at line 180 of file vtkTetra.h.

◆ GetEdgeArray()

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.

◆ GetFaceArray()

static int * vtkTetra::GetFaceArray ( int  faceId)
static

Member Data Documentation

◆ Line

vtkLine* vtkTetra::Line
protected

Definition at line 199 of file vtkTetra.h.

◆ Triangle

vtkTriangle* vtkTetra::Triangle
protected

Definition at line 200 of file vtkTetra.h.


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