Main Page | Class Hierarchy | Alphabetical List | Class List | Directories | File List | Class Members | File Members | Related Pages

vtkQuadraticTetra Class Reference

#include <vtkQuadraticTetra.h>

Inheritance diagram for vtkQuadraticTetra:

Inheritance graph
Collaboration diagram for vtkQuadraticTetra:

Collaboration graph
List of all members.

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).

See also:
vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticWedge vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticPyramid
vtkQuadraticTetra (Tests)

Definition at line 46 of file vtkQuadraticTetra.h.
double GetParametricDistance (double pcoords[3])
static void InterpolationFunctions (double pcoords[3], double weights[10])
static void InterpolationDerivs (double pcoords[3], double derivs[30])

Public Types

typedef vtkNonLinearCell Superclass

Public Member Functions

virtual const char * GetClassName ()
virtual int IsA (const char *type)
int CellBoundary (int subId, double pcoords[3], vtkIdList *pts)
void Contour (double value, vtkDataArray *cellScalars, vtkPointLocator *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)
int GetParametricCenter (double pcoords[3])
void JacobianInverse (double pcoords[3], double **inverse, double derivs[30])
void PrintSelf (ostream &os, vtkIndent indent)
int GetCellType ()
int GetCellDimension ()
int GetNumberOfEdges ()
int GetNumberOfFaces ()
vtkCellGetEdge (int)
vtkCellGetFace (int)
virtual double * GetParametricCoords ()
void Clip (double value, vtkDataArray *cellScalars, vtkPointLocator *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)

Static Public Member Functions

static vtkQuadraticTetraNew ()
static int IsTypeOf (const char *type)
static vtkQuadraticTetraSafeDownCast (vtkObject *o)

Protected Member Functions

 vtkQuadraticTetra ()
 ~vtkQuadraticTetra ()

Protected Attributes


Member Typedef Documentation

typedef vtkNonLinearCell vtkQuadraticTetra::Superclass

Reimplemented from vtkNonLinearCell.

Definition at line 50 of file vtkQuadraticTetra.h.

Constructor & Destructor Documentation

vtkQuadraticTetra::vtkQuadraticTetra  )  [protected]

vtkQuadraticTetra::~vtkQuadraticTetra  )  [protected]

Member Function Documentation

static vtkQuadraticTetra* vtkQuadraticTetra::New  )  [static]

Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

Reimplemented from vtkObject.

virtual const char* vtkQuadraticTetra::GetClassName  )  [virtual]

Reimplemented from vtkNonLinearCell.

static int vtkQuadraticTetra::IsTypeOf const char *  type  )  [static]

Return 1 if this class type is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkNonLinearCell.

virtual int vtkQuadraticTetra::IsA const char *  type  )  [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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkNonLinearCell.

static vtkQuadraticTetra* vtkQuadraticTetra::SafeDownCast vtkObject o  )  [static]

Reimplemented from vtkNonLinearCell.

void vtkQuadraticTetra::PrintSelf ostream &  os,
vtkIndent  indent

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  )  [inline, virtual]

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

Implements vtkCell.

Definition at line 56 of file vtkQuadraticTetra.h.


int vtkQuadraticTetra::GetCellDimension  )  [inline, virtual]

Return the topological dimensional of the cell (0,1,2, or 3).

Implements vtkCell.

Definition at line 57 of file vtkQuadraticTetra.h.

int vtkQuadraticTetra::GetNumberOfEdges  )  [inline, virtual]

Return the number of edges in the cell.

Implements vtkCell.

Definition at line 58 of file vtkQuadraticTetra.h.

int vtkQuadraticTetra::GetNumberOfFaces  )  [inline, virtual]

Return the number of faces in the cell.

Implements vtkCell.

Definition at line 59 of file vtkQuadraticTetra.h.

vtkCell* vtkQuadraticTetra::GetEdge int   )  [virtual]

Return the edge cell from the edgeId of the cell.

Implements vtkCell.

vtkCell* vtkQuadraticTetra::GetFace int   )  [virtual]

Return the face cell from the faceId of the cell.

Implements vtkCell.

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

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,
vtkPointLocator locator,
vtkCellArray verts,
vtkCellArray lines,
vtkCellArray polys,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd

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

Given a point x[3] return inside(=1) or outside(=0) cell; 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

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

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

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,
vtkPointLocator locator,
vtkCellArray tetras,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd,
int  insideOut

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

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]

Quadratic tetra specific methods.

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

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

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 120 of file vtkQuadraticTetra.h.

vtkQuadraticTriangle* vtkQuadraticTetra::Face [protected]

Definition at line 121 of file vtkQuadraticTetra.h.

vtkTetra* vtkQuadraticTetra::Tetra [protected]

Definition at line 122 of file vtkQuadraticTetra.h.

vtkDoubleArray* vtkQuadraticTetra::Scalars [protected]

Definition at line 123 of file vtkQuadraticTetra.h.

The documentation for this class was generated from the following file:
Generated on Tue Jan 22 00:12:14 2008 for VTK by  doxygen 1.4.3-20050530