cell represents a parabolic, 10-node isoparametric tetrahedron More...
#include <vtkQuadraticTetra.h>
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
Definition at line 46 of file vtkQuadraticTetra.h.
Member Typedef Documentation
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.
| static int vtkQuadraticTetra::IsTypeOf | ( | const char * | name | ) | [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 vtkTypeMacro found in vtkSetGet.h.
Reimplemented from vtkNonLinearCell.
| virtual int vtkQuadraticTetra::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 vtkQuadraticTetra* vtkQuadraticTetra::SafeDownCast | ( | vtkObjectBase * | o | ) | [static] |
Reimplemented from vtkNonLinearCell.
| virtual vtkObjectBase* vtkQuadraticTetra::NewInstanceInternal | ( | ) | const [protected, virtual] |
Reimplemented from vtkNonLinearCell.
| vtkQuadraticTetra* vtkQuadraticTetra::NewInstance | ( | ) | const |
Reimplemented from vtkNonLinearCell.
| void vtkQuadraticTetra::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 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] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 57 of file vtkQuadraticTetra.h.
| int vtkQuadraticTetra::GetNumberOfEdges | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 58 of file vtkQuadraticTetra.h.
| int vtkQuadraticTetra::GetNumberOfFaces | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 59 of file vtkQuadraticTetra.h.
| vtkCell* vtkQuadraticTetra::GetEdge | ( | int | ) | [virtual] |
| vtkCell* vtkQuadraticTetra::GetFace | ( | int | ) | [virtual] |
| int vtkQuadraticTetra::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 vtkQuadraticTetra::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 vtkQuadraticTetra::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 vtkQuadraticTetra::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 vtkQuadraticTetra::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 vtkQuadraticTetra::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* 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, | ||
| vtkIncrementalPointLocator * | locator, | ||
| vtkCellArray * | tetras, | ||
| vtkPointData * | inPd, | ||
| vtkPointData * | outPd, | ||
| vtkCellData * | inCd, | ||
| vtkIdType | cellId, | ||
| vtkCellData * | outCd, | ||
| int | insideOut | ||
| ) | [virtual] |
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 | ||
| ) | [virtual] |
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] | ||
| ) | [static] |
- Deprecated:
- Replaced by vtkQuadraticTetra::InterpolateFunctions as of VTK 5.2
| static void vtkQuadraticTetra::InterpolationDerivs | ( | double | pcoords[3], |
| double | derivs[30] | ||
| ) | [static] |
- Deprecated:
- Replaced by vtkQuadraticTetra::InterpolateDerivs as of VTK 5.2
| virtual void vtkQuadraticTetra::InterpolateFunctions | ( | double | pcoords[3], |
| double | weights[10] | ||
| ) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 114 of file vtkQuadraticTetra.h.
| virtual void vtkQuadraticTetra::InterpolateDerivs | ( | double | pcoords[3], |
| double | derivs[30] | ||
| ) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 118 of file vtkQuadraticTetra.h.
| static int* vtkQuadraticTetra::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* vtkQuadraticTetra::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 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 139 of file vtkQuadraticTetra.h.
vtkQuadraticTriangle* vtkQuadraticTetra::Face [protected] |
Definition at line 140 of file vtkQuadraticTetra.h.
vtkTetra* vtkQuadraticTetra::Tetra [protected] |
Definition at line 141 of file vtkQuadraticTetra.h.
vtkDoubleArray* vtkQuadraticTetra::Scalars [protected] |
Definition at line 142 of file vtkQuadraticTetra.h.
The documentation for this class was generated from the following file:
- dox/Common/DataModel/vtkQuadraticTetra.h
