VTK
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
vtkTriQuadraticHexahedron Class Reference

cell represents a parabolic, 27-node isoparametric hexahedron More...

#include <vtkTriQuadraticHexahedron.h>

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

Public Types

typedef vtkNonLinearCell Superclass
 
- Public Types inherited from vtkNonLinearCell
typedef vtkCell Superclass
 

Public Member Functions

virtual const char * GetClassName ()
 
virtual int IsA (const char *type)
 
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 ()
 
void JacobianInverse (double pcoords[3], double **inverse, double derivs[81])
 
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)
 
- Public Member Functions inherited from vtkNonLinearCell
void PrintSelf (ostream &os, vtkIndent indent)
 
virtual int IsLinear ()
 

Static Public Member Functions

static vtkTriQuadraticHexahedronNew ()
 
static int IsTypeOf (const char *type)
 
static vtkTriQuadraticHexahedronSafeDownCast (vtkObject *o)
 
- Static Public Member Functions inherited from vtkNonLinearCell
static int IsTypeOf (const char *type)
 
static vtkNonLinearCellSafeDownCast (vtkObject *o)
 

Protected Member Functions

 vtkTriQuadraticHexahedron ()
 
 ~vtkTriQuadraticHexahedron ()
 
- Protected Member Functions inherited from vtkNonLinearCell
 vtkNonLinearCell ()
 
 ~vtkNonLinearCell ()
 

Protected Attributes

vtkQuadraticEdgeEdge
 
vtkBiQuadraticQuadFace
 
vtkHexahedronHex
 
vtkDoubleArrayScalars
 
static void InterpolationFunctions (double pcoords[3], double weights[27])
 
static void InterpolationDerivs (double pcoords[3], double derivs[81])
 
static int * GetEdgeArray (int edgeId)
 
static int * GetFaceArray (int faceId)
 
virtual void InterpolateFunctions (double pcoords[3], double weights[27])
 
virtual void InterpolateDerivs (double pcoords[3], double derivs[81])
 

Detailed Description

cell represents a parabolic, 27-node isoparametric hexahedron

vtkTriQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 27-node isoparametric triquadratic hexahedron. The interpolation is the standard finite element, triquadratic isoparametric shape function. The cell includes 8 edge nodes, 12 mid-edge nodes, 6 mid-face nodes and one mid-volume node. The ordering of the 27 points defining the cell is point ids (0-7,8-19, 20-25, 26) where point ids 0-7 are the eight corner vertices of the cube; followed by twelve midedge nodes (8-19); followed by 6 mid-face nodes (20-25) and the last node (26) is the mid-volume node. 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 mid-surface nodes lies on the faces defined by (first edge nodes id's, than mid-edge nodes id's): (0,1,5,4;8,17,12,16), (1,2,6,5;9,18,13,17), (2,3,7,6,10,19,14,18), (3,0,4,7;11,16,15,19), (0,1,2,3;8,9,10,11), (4,5,6,7;12,13,14,15). The last point lies in the center of the cell (0,1,2,3,4,5,6,7).

top 
 7--14--6
 |      |
15  25  13
 |      |
 4--12--5

 middle
19--23--18
 |      |
20  26  21
 |      |
16--22--17

bottom
 3--10--2
 |      |
11  24  9 
 |      |
 0-- 8--1
See Also
vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge vtkBiQuadraticQuad
Thanks:
Thanks to Soeren Gebbert who developed this class and integrated it into VTK 5.0.
Tests:
vtkTriQuadraticHexahedron (Tests)

Definition at line 83 of file vtkTriQuadraticHexahedron.h.

Member Typedef Documentation

Definition at line 87 of file vtkTriQuadraticHexahedron.h.

Constructor & Destructor Documentation

vtkTriQuadraticHexahedron::vtkTriQuadraticHexahedron ( )
protected
vtkTriQuadraticHexahedron::~vtkTriQuadraticHexahedron ( )
protected

Member Function Documentation

static vtkTriQuadraticHexahedron* vtkTriQuadraticHexahedron::New ( )
static
virtual const char* vtkTriQuadraticHexahedron::GetClassName ( )
virtual

Reimplemented from vtkNonLinearCell.

static int vtkTriQuadraticHexahedron::IsTypeOf ( const char *  type)
static
virtual int vtkTriQuadraticHexahedron::IsA ( const char *  type)
virtual

Reimplemented from vtkNonLinearCell.

static vtkTriQuadraticHexahedron* vtkTriQuadraticHexahedron::SafeDownCast ( vtkObject o)
static
void vtkTriQuadraticHexahedron::PrintSelf ( ostream &  os,
vtkIndent  indent 
)
int vtkTriQuadraticHexahedron::GetCellType ( )
inline

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

Definition at line 93 of file vtkTriQuadraticHexahedron.h.

int vtkTriQuadraticHexahedron::GetCellDimension ( )
inline

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

Definition at line 94 of file vtkTriQuadraticHexahedron.h.

int vtkTriQuadraticHexahedron::GetNumberOfEdges ( )
inline

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

Definition at line 95 of file vtkTriQuadraticHexahedron.h.

int vtkTriQuadraticHexahedron::GetNumberOfFaces ( )
inline

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

Definition at line 96 of file vtkTriQuadraticHexahedron.h.

vtkCell* vtkTriQuadraticHexahedron::GetEdge ( int  )

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

vtkCell* vtkTriQuadraticHexahedron::GetFace ( int  )

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

int vtkTriQuadraticHexahedron::CellBoundary ( int  subId,
double  pcoords[3],
vtkIdList pts 
)
void vtkTriQuadraticHexahedron::Contour ( double  value,
vtkDataArray cellScalars,
vtkIncrementalPointLocator locator,
vtkCellArray verts,
vtkCellArray lines,
vtkCellArray polys,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd 
)
int vtkTriQuadraticHexahedron::EvaluatePosition ( double  x[3],
double *  closestPoint,
int &  subId,
double  pcoords[3],
double &  dist2,
double *  weights 
)
void vtkTriQuadraticHexahedron::EvaluateLocation ( int &  subId,
double  pcoords[3],
double  x[3],
double *  weights 
)
int vtkTriQuadraticHexahedron::Triangulate ( int  index,
vtkIdList ptIds,
vtkPoints pts 
)
void vtkTriQuadraticHexahedron::Derivatives ( int  subId,
double  pcoords[3],
double *  values,
int  dim,
double *  derivs 
)
virtual double* vtkTriQuadraticHexahedron::GetParametricCoords ( )
virtual
void vtkTriQuadraticHexahedron::Clip ( double  value,
vtkDataArray cellScalars,
vtkIncrementalPointLocator locator,
vtkCellArray tetras,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd,
int  insideOut 
)

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

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

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

static void vtkTriQuadraticHexahedron::InterpolationFunctions ( double  pcoords[3],
double  weights[27] 
)
static
static void vtkTriQuadraticHexahedron::InterpolationDerivs ( double  pcoords[3],
double  derivs[81] 
)
static
virtual void vtkTriQuadraticHexahedron::InterpolateFunctions ( double  pcoords[3],
double  weights[27] 
)
inlinevirtual
virtual void vtkTriQuadraticHexahedron::InterpolateDerivs ( double  pcoords[3],
double  derivs[81] 
)
inlinevirtual
static int* vtkTriQuadraticHexahedron::GetEdgeArray ( int  edgeId)
static
static int* vtkTriQuadraticHexahedron::GetFaceArray ( int  faceId)
static
void vtkTriQuadraticHexahedron::JacobianInverse ( double  pcoords[3],
double **  inverse,
double  derivs[81] 
)

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

Member Data Documentation

vtkQuadraticEdge* vtkTriQuadraticHexahedron::Edge
protected

Definition at line 165 of file vtkTriQuadraticHexahedron.h.

vtkBiQuadraticQuad* vtkTriQuadraticHexahedron::Face
protected

Definition at line 166 of file vtkTriQuadraticHexahedron.h.

vtkHexahedron* vtkTriQuadraticHexahedron::Hex
protected

Definition at line 167 of file vtkTriQuadraticHexahedron.h.

vtkDoubleArray* vtkTriQuadraticHexahedron::Scalars
protected

Definition at line 168 of file vtkTriQuadraticHexahedron.h.


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