vtkHexahedron Class Reference

#include <vtkHexahedron.h>

Inheritance diagram for vtkHexahedron:

[legend]Collaboration diagram for vtkHexahedron:

[legend]List of all members.

Detailed Description

a cell that represents a linear 3D hexahedron

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).

See also:: vtkConvexPointSet vtkPyramid vtkTetra vtkVoxel vtkWedge

Created by:

Bertel, Francois

CVS contributions (if > 5%):

Bertel, Francois (100%)

CVS logs (CVSweb):

.cxx (/Filtering/vtkHexahedron.cxx)
.h (/Filtering/vtkHexahedron.h)

Examples:: vtkHexahedron (Examples)

Tests:: vtkHexahedron (Tests)

Definition at line 54 of file vtkHexahedron.h.

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

Static Public Member Functions

vtkHexahedron * New ()

int IsTypeOf (const char *type)

vtkHexahedron * SafeDownCast (vtkObject *o)

void InterpolationFunctions (double pcoords[3], double weights[8])

void InterpolationDerivs (double pcoords[3], double derivs[24])

int * GetEdgeArray (int edgeId)

int * GetFaceArray (int faceId)

Protected Member Functions

vtkHexahedron ()

~vtkHexahedron ()

Protected Attributes

vtkLine * Line

vtkQuad * Quad

Member Typedef Documentation

typedef vtkCell3D vtkHexahedron::Superclass

Reimplemented from vtkCell3D.
Definition at line 58 of file vtkHexahedron.h.

Constructor & Destructor Documentation

vtkHexahedron::vtkHexahedron ( ) [protected]

vtkHexahedron::~vtkHexahedron ( ) [protected]

Member Function Documentation

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.

int vtkHexahedron::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 vtkCell3D.

virtual int vtkHexahedron::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 vtkCell3D.

vtkHexahedron* vtkHexahedron::SafeDownCast ( vtkObject * o ) [static]

Reimplemented from vtkCell3D.

void vtkHexahedron::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 vtkCell3D.

virtual void vtkHexahedron::GetEdgePoints ( int edgeId,

int *& pts

) [virtual]

See vtkCell3D API for description of these methods.
Implements vtkCell3D.

virtual void vtkHexahedron::GetFacePoints ( int faceId,

int *& pts

) [virtual]

See vtkCell3D API for description of these methods.
Implements vtkCell3D.

int vtkHexahedron::GetCellType ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 69 of file vtkHexahedron.h.

int vtkHexahedron::GetNumberOfEdges ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 70 of file vtkHexahedron.h.

int vtkHexahedron::GetNumberOfFaces ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 71 of file vtkHexahedron.h.

vtkCell* vtkHexahedron::GetEdge ( int edgeId ) [virtual]

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

vtkCell* vtkHexahedron::GetFace ( int faceId ) [virtual]

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

int vtkHexahedron::CellBoundary ( int subId,

double pcoords[3],

vtkIdList * pts

) [virtual]

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

void vtkHexahedron::Contour ( double value,

vtkDataArray * cellScalars,

vtkPointLocator * locator,

vtkCellArray * verts,

vtkCellArray * lines,

vtkCellArray * polys,

vtkPointData * inPd,

vtkPointData * outPd,

vtkCellData * inCd,

vtkIdType cellId,

vtkCellData * outCd

) [virtual]

See the vtkCell API for descriptions of these methods.
Reimplemented from vtkCell3D.

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) 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 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.

int vtkHexahedron::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.
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.

void vtkHexahedron::InterpolationFunctions ( double pcoords[3],

double weights[8]

) [static]

Hexahedron specific.

void vtkHexahedron::InterpolationDerivs ( double pcoords[3],

double derivs[24]

) [static]

Hexahedron specific.

int* vtkHexahedron::GetEdgeArray ( int edgeId ) [static]

Hexahedron specific.

int* vtkHexahedron::GetFaceArray ( int faceId ) [static]

Hexahedron specific.

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.

Member Data Documentation

vtkLine* vtkHexahedron::Line [protected]

Definition at line 111 of file vtkHexahedron.h.

vtkQuad* vtkHexahedron::Quad [protected]

Definition at line 112 of file vtkHexahedron.h.

The documentation for this class was generated from the following file:

dox/Filtering/vtkHexahedron.h


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, vtkPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd)
Static Public Member Functions
vtkHexahedron *	New ()
int	IsTypeOf (const char *type)
vtkHexahedron *	SafeDownCast (vtkObject *o)

void	InterpolationFunctions (double pcoords[3], double weights[8])
void	InterpolationDerivs (double pcoords[3], double derivs[24])
int *	GetEdgeArray (int edgeId)
int *	GetFaceArray (int faceId)
Protected Member Functions
	vtkHexahedron ()
	~vtkHexahedron ()
Protected Attributes
vtkLine *	Line
vtkQuad *	Quad