cell represents a biquadratic, 24-node isoparametric hexahedron More...
#include <vtkBiQuadraticQuadraticHexahedron.h>
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.
Definition at line 82 of file vtkBiQuadraticQuadraticHexahedron.h.
Member Typedef Documentation
Reimplemented from vtkNonLinearCell.
Definition at line 86 of file vtkBiQuadraticQuadraticHexahedron.h.
Constructor & Destructor Documentation
Member Function Documentation
| static vtkBiQuadraticQuadraticHexahedron* vtkBiQuadraticQuadraticHexahedron::New | ( | ) | [static] |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
Reimplemented from vtkObject.
| static int vtkBiQuadraticQuadraticHexahedron::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 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] |
Reimplemented from vtkNonLinearCell.
| virtual vtkObjectBase* vtkBiQuadraticQuadraticHexahedron::NewInstanceInternal | ( | ) | const [protected, virtual] |
Reimplemented from vtkNonLinearCell.
Reimplemented from vtkNonLinearCell.
| 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 vtkNonLinearCell.
| int vtkBiQuadraticQuadraticHexahedron::GetCellType | ( | ) | [inline, virtual] |
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 | ( | ) | [inline, virtual] |
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 | ( | ) | [inline, virtual] |
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 | ( | ) | [inline, virtual] |
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] |
| vtkCell* vtkBiQuadraticQuadraticHexahedron::GetFace | ( | int | ) | [virtual] |
| 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] |
- Deprecated:
- Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
| static void vtkBiQuadraticQuadraticHexahedron::InterpolationDerivs | ( | double | pcoords[3], |
| double | derivs[72] | ||
| ) | [static] |
- Deprecated:
- Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
| virtual void vtkBiQuadraticQuadraticHexahedron::InterpolateFunctions | ( | double | pcoords[3], |
| double | weights[24] | ||
| ) | [inline, virtual] |
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] | ||
| ) | [inline, virtual] |
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.
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.
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:
- dox/Common/DataModel/vtkBiQuadraticQuadraticHexahedron.h
