#include <vtkHexahedron.h>
vtkHexahedron is a concrete implementation of vtkCell to represent a linear, 3D rectangular hexahedron (e.g., "brick" topology). vtkHexahedron uses the standard isoparametric shape functions for a linear hexahedron. The hexahedron is defined by the eight points (0-7) where (0,1,2,3) is the base of the hexahedron which, using the right hand rule, forms a quadrilaterial whose normal points in the direction of the opposite face (4,5,6,7).
Definition at line 45 of file vtkHexahedron.h.
static void | InterpolationFunctions (double pcoords[3], double weights[8]) |
static void | InterpolationDerivs (double pcoords[3], double derivs[24]) |
virtual void | InterpolateFunctions (double pcoords[3], double weights[8]) |
virtual void | InterpolateDerivs (double pcoords[3], double derivs[24]) |
Public Types | |
typedef vtkCell3D | Superclass |
Public Member Functions | |
virtual const char * | GetClassName () |
virtual int | IsA (const char *type) |
void | PrintSelf (ostream &os, vtkIndent indent) |
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 | IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) |
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[24]) |
virtual void | GetEdgePoints (int edgeId, int *&pts) |
virtual void | GetFacePoints (int faceId, int *&pts) |
int | GetCellType () |
int | GetNumberOfEdges () |
int | GetNumberOfFaces () |
vtkCell * | GetEdge (int edgeId) |
vtkCell * | GetFace (int faceId) |
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) |
Static Public Member Functions | |
static vtkHexahedron * | New () |
static int | IsTypeOf (const char *type) |
static vtkHexahedron * | SafeDownCast (vtkObject *o) |
static int * | GetEdgeArray (int edgeId) |
static int * | GetFaceArray (int faceId) |
Protected Member Functions | |
vtkHexahedron () | |
~vtkHexahedron () | |
Protected Attributes | |
vtkLine * | Line |
vtkQuad * | Quad |
typedef vtkCell3D vtkHexahedron::Superclass |
vtkHexahedron::vtkHexahedron | ( | ) | [protected] |
vtkHexahedron::~vtkHexahedron | ( | ) | [protected] |
static vtkHexahedron* vtkHexahedron::New | ( | ) | [static] |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
Reimplemented from vtkObject.
virtual const char* vtkHexahedron::GetClassName | ( | ) | [virtual] |
Reimplemented from vtkCell3D.
static int vtkHexahedron::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 vtkCell3D.
virtual int vtkHexahedron::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 vtkCell3D.
static vtkHexahedron* vtkHexahedron::SafeDownCast | ( | vtkObject * | o | ) | [static] |
Reimplemented from vtkCell3D.
void vtkHexahedron::PrintSelf | ( | ostream & | os, | |
vtkIndent | indent | |||
) | [virtual] |
virtual void vtkHexahedron::GetEdgePoints | ( | int | edgeId, | |
int *& | pts | |||
) | [virtual] |
virtual void vtkHexahedron::GetFacePoints | ( | int | faceId, | |
int *& | pts | |||
) | [virtual] |
int vtkHexahedron::GetCellType | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 60 of file vtkHexahedron.h.
int vtkHexahedron::GetNumberOfEdges | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 61 of file vtkHexahedron.h.
int vtkHexahedron::GetNumberOfFaces | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 62 of file vtkHexahedron.h.
vtkCell* vtkHexahedron::GetEdge | ( | int | edgeId | ) | [virtual] |
vtkCell* vtkHexahedron::GetFace | ( | int | faceId | ) | [virtual] |
int vtkHexahedron::CellBoundary | ( | int | subId, | |
double | pcoords[3], | |||
vtkIdList * | pts | |||
) | [virtual] |
void vtkHexahedron::Contour | ( | double | value, | |
vtkDataArray * | cellScalars, | |||
vtkIncrementalPointLocator * | locator, | |||
vtkCellArray * | verts, | |||
vtkCellArray * | lines, | |||
vtkCellArray * | polys, | |||
vtkPointData * | inPd, | |||
vtkPointData * | outPd, | |||
vtkCellData * | inCd, | |||
vtkIdType | cellId, | |||
vtkCellData * | outCd | |||
) | [virtual] |
int vtkHexahedron::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 vtkHexahedron::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 vtkHexahedron::IntersectWithLine | ( | double | p1[3], | |
double | p2[3], | |||
double | tol, | |||
double & | t, | |||
double | x[3], | |||
double | pcoords[3], | |||
int & | subId | |||
) | [virtual] |
Intersect with a ray. Return parametric coordinates (both line and cell) and global intersection coordinates, given ray definition and tolerance. The method returns non-zero value if intersection occurs.
Implements vtkCell.
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 vtkHexahedron::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* vtkHexahedron::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.
static void vtkHexahedron::InterpolationFunctions | ( | double | pcoords[3], | |
double | weights[8] | |||
) | [static] |
static void vtkHexahedron::InterpolationDerivs | ( | double | pcoords[3], | |
double | derivs[24] | |||
) | [static] |
virtual void vtkHexahedron::InterpolateFunctions | ( | double | pcoords[3], | |
double | weights[8] | |||
) | [inline, virtual] |
Definition at line 95 of file vtkHexahedron.h.
virtual void vtkHexahedron::InterpolateDerivs | ( | double | pcoords[3], | |
double | derivs[24] | |||
) | [inline, virtual] |
Definition at line 99 of file vtkHexahedron.h.
static int* vtkHexahedron::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* vtkHexahedron::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 vtkHexahedron::JacobianInverse | ( | double | pcoords[3], | |
double ** | inverse, | |||
double | derivs[24] | |||
) |
Given parametric coordinates compute inverse Jacobian transformation matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives.
vtkLine* vtkHexahedron::Line [protected] |
Definition at line 121 of file vtkHexahedron.h.
vtkQuad* vtkHexahedron::Quad [protected] |
Definition at line 122 of file vtkHexahedron.h.