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vtkBiQuadraticQuadraticHexahedron Class Reference

cell represents a biquadratic, 24-node isoparametric hexahedron More...

#include <vtkBiQuadraticQuadraticHexahedron.h>

Inheritance diagram for vtkBiQuadraticQuadraticHexahedron:
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Collaboration diagram for vtkBiQuadraticQuadraticHexahedron:
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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)
 
vtkBiQuadraticQuadraticHexahedronNewInstance () 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 doubleGetParametricCoords ()
 
void JacobianInverse (double pcoords[3], double **inverse, double derivs[72])
 
int GetCellType ()
 
int GetCellDimension ()
 
int GetNumberOfEdges ()
 
int GetNumberOfFaces ()
 
vtkCellGetEdge (int)
 
vtkCellGetFace (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[24])
 
virtual void InterpolateDerivs (double pcoords[3], double derivs[72])
 
- Public Member Functions inherited from vtkNonLinearCell
vtkNonLinearCellNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent)
 
virtual int IsLinear ()
 
- 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 IsExplicitCell ()
 
vtkPointsGetPoints ()
 
vtkIdType GetNumberOfPoints ()
 
vtkIdListGetPointIds ()
 
vtkIdType GetPointId (int ptId)
 
void GetBounds (double bounds[6])
 
doubleGetBounds ()
 
double GetLength2 ()
 
virtual int GetParametricCenter (double pcoords[3])
 
virtual double GetParametricDistance (double pcoords[3])
 
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 vtkBiQuadraticQuadraticHexahedronNew ()
 
static int IsTypeOf (const char *type)
 
static vtkBiQuadraticQuadraticHexahedronSafeDownCast (vtkObjectBase *o)
 
static void InterpolationFunctions (double pcoords[3], double weights[24])
 
static void InterpolationDerivs (double pcoords[3], double derivs[72])
 
static intGetEdgeArray (int edgeId)
 
static intGetFaceArray (int faceId)
 
- Static Public Member Functions inherited from vtkNonLinearCell
static int IsTypeOf (const char *type)
 
static vtkNonLinearCellSafeDownCast (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
 
 vtkBiQuadraticQuadraticHexahedron ()
 
 ~vtkBiQuadraticQuadraticHexahedron ()
 
void Subdivide (vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId, vtkDataArray *cellScalars)
 
- 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

vtkQuadraticEdgeEdge
 
vtkQuadraticQuadFace
 
vtkBiQuadraticQuadBiQuadFace
 
vtkHexahedronHex
 
vtkPointDataPointData
 
vtkCellDataCellData
 
vtkDoubleArrayCellScalars
 
vtkDoubleArrayScalars
 
- 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

cell represents a biquadratic, 24-node isoparametric hexahedron

vtkBiQuadraticQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 24-node isoparametric biquadratic hexahedron. The interpolation is the standard finite element, biquadratic-quadratic isoparametric shape function. The cell includes mid-edge and center-face nodes. The ordering of the 24 points defining the cell is point ids (0-7,8-19, 20-23) where point ids 0-7 are the eight corner vertices of the cube; followed by twelve midedge nodes (8-19), nodes 20-23 are the center-face nodes. Note that these midedge nodes correspond lie on the edges defined by (0,1), (1,2), (2,3), (3,0), (4,5), (5,6), (6,7), (7,4), (0,4), (1,5), (2,6), (3,7). The center face nodes laying in quad 22-(0,1,5,4), 21-(1,2,6,5), 23-(2,3,7,6) and 22-(3,0,4,7)

top
 7--14--6
 |      |
15      13
 |      |
 4--12--5

 middle
19--23--18
 |      |
20      21
 |      |
16--22--17

bottom
 3--10--2
 |      |
11      9
 |      |
 0-- 8--1
See also
vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge
Thanks:
Thanks to Soeren Gebbert who developed this class and integrated it into VTK 5.0.
Tests:
vtkBiQuadraticQuadraticHexahedron (Tests)

Definition at line 82 of file vtkBiQuadraticQuadraticHexahedron.h.

Member Typedef Documentation

Definition at line 86 of file vtkBiQuadraticQuadraticHexahedron.h.

Constructor & Destructor Documentation

vtkBiQuadraticQuadraticHexahedron::vtkBiQuadraticQuadraticHexahedron ( )
protected
vtkBiQuadraticQuadraticHexahedron::~vtkBiQuadraticQuadraticHexahedron ( )
protected

Member Function Documentation

static vtkBiQuadraticQuadraticHexahedron* vtkBiQuadraticQuadraticHexahedron::New ( )
static
static int vtkBiQuadraticQuadraticHexahedron::IsTypeOf ( const char *  type)
static
virtual int vtkBiQuadraticQuadraticHexahedron::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 vtkBiQuadraticQuadraticHexahedron* vtkBiQuadraticQuadraticHexahedron::SafeDownCast ( vtkObjectBase o)
static
virtual vtkObjectBase* vtkBiQuadraticQuadraticHexahedron::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkNonLinearCell.

vtkBiQuadraticQuadraticHexahedron* vtkBiQuadraticQuadraticHexahedron::NewInstance ( ) const
void vtkBiQuadraticQuadraticHexahedron::PrintSelf ( ostream &  os,
vtkIndent  indent 
)
virtual

Methods invoked by print to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from vtkObject.

int vtkBiQuadraticQuadraticHexahedron::GetCellType ( )
inlinevirtual

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

Implements vtkCell.

Definition at line 92 of file vtkBiQuadraticQuadraticHexahedron.h.

int vtkBiQuadraticQuadraticHexahedron::GetCellDimension ( )
inlinevirtual

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

Implements vtkCell.

Definition at line 93 of file vtkBiQuadraticQuadraticHexahedron.h.

int vtkBiQuadraticQuadraticHexahedron::GetNumberOfEdges ( )
inlinevirtual

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

Implements vtkCell.

Definition at line 94 of file vtkBiQuadraticQuadraticHexahedron.h.

int vtkBiQuadraticQuadraticHexahedron::GetNumberOfFaces ( )
inlinevirtual

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

Implements vtkCell.

Definition at line 95 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkCell* vtkBiQuadraticQuadraticHexahedron::GetEdge ( int  )
virtual

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

Implements vtkCell.

vtkCell* vtkBiQuadraticQuadraticHexahedron::GetFace ( int  )
virtual

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

Implements vtkCell.

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

Clip this biquadratic hexahedron using scalar value provided. Like contouring, except that it cuts the hex to produce linear tetrahedron.

Implements vtkCell.

int vtkBiQuadraticQuadraticHexahedron::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.

static void vtkBiQuadraticQuadraticHexahedron::InterpolationFunctions ( double  pcoords[3],
double  weights[24] 
)
static
static void vtkBiQuadraticQuadraticHexahedron::InterpolationDerivs ( double  pcoords[3],
double  derivs[72] 
)
static
virtual void vtkBiQuadraticQuadraticHexahedron::InterpolateFunctions ( double  pcoords[3],
double  weights[24] 
)
inlinevirtual

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

Definition at line 143 of file vtkBiQuadraticQuadraticHexahedron.h.

virtual void vtkBiQuadraticQuadraticHexahedron::InterpolateDerivs ( double  pcoords[3],
double  derivs[72] 
)
inlinevirtual

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

Definition at line 147 of file vtkBiQuadraticQuadraticHexahedron.h.

static int* vtkBiQuadraticQuadraticHexahedron::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* vtkBiQuadraticQuadraticHexahedron::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 vtkBiQuadraticQuadraticHexahedron::JacobianInverse ( double  pcoords[3],
double **  inverse,
double  derivs[72] 
)

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

void vtkBiQuadraticQuadraticHexahedron::Subdivide ( vtkPointData inPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkDataArray cellScalars 
)
protected

Member Data Documentation

vtkQuadraticEdge* vtkBiQuadraticQuadraticHexahedron::Edge
protected

Definition at line 168 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkQuadraticQuad* vtkBiQuadraticQuadraticHexahedron::Face
protected

Definition at line 169 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkBiQuadraticQuad* vtkBiQuadraticQuadraticHexahedron::BiQuadFace
protected

Definition at line 170 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkHexahedron* vtkBiQuadraticQuadraticHexahedron::Hex
protected

Definition at line 171 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkPointData* vtkBiQuadraticQuadraticHexahedron::PointData
protected

Definition at line 172 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkCellData* vtkBiQuadraticQuadraticHexahedron::CellData
protected

Definition at line 173 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkDoubleArray* vtkBiQuadraticQuadraticHexahedron::CellScalars
protected

Definition at line 174 of file vtkBiQuadraticQuadraticHexahedron.h.

vtkDoubleArray* vtkBiQuadraticQuadraticHexahedron::Scalars
protected

Definition at line 175 of file vtkBiQuadraticQuadraticHexahedron.h.


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