cell represents a parabolic, 27-node isoparametric hexahedron More...
#include <vtkTriQuadraticHexahedron.h>
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.
Definition at line 84 of file vtkTriQuadraticHexahedron.h.
Member Typedef Documentation
Reimplemented from vtkNonLinearCell.
Definition at line 88 of file vtkTriQuadraticHexahedron.h.
Constructor & Destructor Documentation
| vtkTriQuadraticHexahedron::vtkTriQuadraticHexahedron | ( | ) | [protected] |
| vtkTriQuadraticHexahedron::~vtkTriQuadraticHexahedron | ( | ) | [protected] |
Member Function Documentation
| static vtkTriQuadraticHexahedron* vtkTriQuadraticHexahedron::New | ( | ) | [static] |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
Reimplemented from vtkObject.
| static int vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron* vtkTriQuadraticHexahedron::SafeDownCast | ( | vtkObjectBase * | o | ) | [static] |
Reimplemented from vtkNonLinearCell.
| virtual vtkObjectBase* vtkTriQuadraticHexahedron::NewInstanceInternal | ( | ) | const [protected, virtual] |
Reimplemented from vtkNonLinearCell.
Reimplemented from vtkNonLinearCell.
| void vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::GetCellType | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 94 of file vtkTriQuadraticHexahedron.h.
| int vtkTriQuadraticHexahedron::GetCellDimension | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 95 of file vtkTriQuadraticHexahedron.h.
| int vtkTriQuadraticHexahedron::GetNumberOfEdges | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 96 of file vtkTriQuadraticHexahedron.h.
| int vtkTriQuadraticHexahedron::GetNumberOfFaces | ( | ) | [inline, virtual] |
Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 97 of file vtkTriQuadraticHexahedron.h.
| vtkCell* vtkTriQuadraticHexahedron::GetEdge | ( | int | ) | [virtual] |
| vtkCell* vtkTriQuadraticHexahedron::GetFace | ( | int | ) | [virtual] |
| int vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::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* vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::Clip | ( | double | value, |
| vtkDataArray * | cellScalars, | ||
| vtkIncrementalPointLocator * | locator, | ||
| vtkCellArray * | tetras, | ||
| vtkPointData * | inPd, | ||
| vtkPointData * | outPd, | ||
| vtkCellData * | inCd, | ||
| vtkIdType | cellId, | ||
| vtkCellData * | outCd, | ||
| int | insideOut | ||
| ) | [virtual] |
Clip this triquadratic hexahedron using scalar value provided. Like contouring, except that it cuts the hex to produce linear tetrahedron.
Implements vtkCell.
| int vtkTriQuadraticHexahedron::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 vtkTriQuadraticHexahedron::InterpolationFunctions | ( | double | pcoords[3], |
| double | weights[27] | ||
| ) | [static] |
- Deprecated:
- Replaced by vtkTriQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
| static void vtkTriQuadraticHexahedron::InterpolationDerivs | ( | double | pcoords[3], |
| double | derivs[81] | ||
| ) | [static] |
- Deprecated:
- Replaced by vtkTriQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
| virtual void vtkTriQuadraticHexahedron::InterpolateFunctions | ( | double | pcoords[3], |
| double | weights[27] | ||
| ) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 141 of file vtkTriQuadraticHexahedron.h.
| virtual void vtkTriQuadraticHexahedron::InterpolateDerivs | ( | double | pcoords[3], |
| double | derivs[81] | ||
| ) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 145 of file vtkTriQuadraticHexahedron.h.
| static int* vtkTriQuadraticHexahedron::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* vtkTriQuadraticHexahedron::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 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 166 of file vtkTriQuadraticHexahedron.h.
vtkBiQuadraticQuad* vtkTriQuadraticHexahedron::Face [protected] |
Definition at line 167 of file vtkTriQuadraticHexahedron.h.
vtkHexahedron* vtkTriQuadraticHexahedron::Hex [protected] |
Definition at line 168 of file vtkTriQuadraticHexahedron.h.
vtkDoubleArray* vtkTriQuadraticHexahedron::Scalars [protected] |
Definition at line 169 of file vtkTriQuadraticHexahedron.h.
The documentation for this class was generated from the following file:
- dox/Common/DataModel/vtkTriQuadraticHexahedron.h
