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vtkQuadraticHexahedron Class Reference

#include <vtkQuadraticHexahedron.h>

Inheritance diagram for vtkQuadraticHexahedron:

[legend]Collaboration diagram for vtkQuadraticHexahedron:

[legend]List of all members.

Detailed Description

cell represents a parabolic, 20-node isoparametric hexahedron

Date:: 2002/11/12 18:55:41

Revision:: 1.9

vtkQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 20-node isoparametric parabolic hexahedron. The interpolation is the standard finite element, quadratic isoparametric shape function. The cell includes a mid-edge node. The ordering of the twenty points defining the cell is point ids (0-7,8-19) where point ids 0-7 are the eight corner vertices of the cube; followed by twelve midedge nodes (8-19). 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).

See also:: vtkQuadraticEdge vtkQUadraticTriangle vtkQuadraticTetra vtQuadraticQuad

Created by:

Schroeder, Will

CVS contributions (if > 5%):

Schroeder, Will (97%)

CVS logs (CVSweb):

.cxx (/Common/vtkQuadraticHexahedron.cxx)
.h (/Common/vtkQuadraticHexahedron.h)

Tests:: vtkQuadraticHexahedron (Tests)

Definition at line 60 of file vtkQuadraticHexahedron.h.

Public Types

typedef vtkNonLinearCell Superclass

Public Methods

virtual const char * GetClassName ()

virtual int IsA (const char *type)

int CellBoundary (int subId, float pcoords[3], vtkIdList *pts)

void Contour (float value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)

int EvaluatePosition (float x[3], float *closestPoint, int &subId, float pcoords[3], float &dist2, float *weights)

void EvaluateLocation (int &subId, float pcoords[3], float x[3], float *weights)

int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)

void Derivatives (int subId, float pcoords[3], float *values, int dim, float *derivs)

void JacobianInverse (float pcoords[3], double **inverse, float derivs[60])

int GetCellType ()

int GetCellDimension ()

int GetNumberOfEdges ()

int GetNumberOfFaces ()

vtkCell * GetEdge (int)

vtkCell * GetFace (int)

void Clip (float value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *tetras, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)

int IntersectWithLine (float p1[3], float p2[3], float tol, float &t, float x[3], float pcoords[3], int &subId)

Static Public Methods

vtkQuadraticHexahedron * New ()

int IsTypeOf (const char *type)

vtkQuadraticHexahedron * SafeDownCast (vtkObject *o)

void InterpolationFunctions (float pcoords[3], float weights[3])

void InterpolationDerivs (float pcoords[3], float derivs[3])

Protected Methods

vtkQuadraticHexahedron ()

~vtkQuadraticHexahedron ()

void Subdivide (vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId)

Protected Attributes

vtkQuadraticEdge * Edge

vtkQuadraticQuad * Face

vtkHexahedron * Hex

vtkPointData * PointData

vtkCellData * CellData

vtkFloatArray * Scalars

Member Typedef Documentation

typedef vtkNonLinearCell vtkQuadraticHexahedron::Superclass

Reimplemented from vtkNonLinearCell.
Definition at line 64 of file vtkQuadraticHexahedron.h.

Constructor & Destructor Documentation

vtkQuadraticHexahedron::vtkQuadraticHexahedron ( ) [protected]

vtkQuadraticHexahedron::~vtkQuadraticHexahedron ( ) [protected]

Member Function Documentation

vtkQuadraticHexahedron* vtkQuadraticHexahedron::New ( ) [static]

Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
Reimplemented from vtkObject.

virtual const char* vtkQuadraticHexahedron::GetClassName ( ) [virtual]

Reimplemented from vtkNonLinearCell.

int vtkQuadraticHexahedron::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 vtkNonLinearCell.

virtual int vtkQuadraticHexahedron::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 vtkNonLinearCell.

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

Reimplemented from vtkNonLinearCell.

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

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 69 of file vtkQuadraticHexahedron.h.
References VTK_QUADRATIC_HEXAHEDRON.

int vtkQuadraticHexahedron::GetCellDimension ( ) [inline, virtual]

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

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

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

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

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 72 of file vtkQuadraticHexahedron.h.

vtkCell* vtkQuadraticHexahedron::GetEdge ( int ) [virtual]

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

vtkCell* vtkQuadraticHexahedron::GetFace ( int ) [virtual]

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

int vtkQuadraticHexahedron::CellBoundary ( int subId,

float 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 vtkQuadraticHexahedron::Contour ( float value,

vtkDataArray * cellScalars,

vtkPointLocator * 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 vtkQuadraticHexahedron::EvaluatePosition ( float x[3],

float * closestPoint,

int & subId,

float pcoords[3],

float & dist2,

float * 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 vtkQuadraticHexahedron::EvaluateLocation ( int & subId,

float pcoords[3],

float x[3],

float * 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 vtkQuadraticHexahedron::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 vtkQuadraticHexahedron::Derivatives ( int subId,

float pcoords[3],

float * values,

int dim,

float * 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.

void vtkQuadraticHexahedron::Clip ( float value,

vtkDataArray * cellScalars,

vtkPointLocator * locator,

vtkCellArray * tetras,

vtkPointData * inPd,

vtkPointData * outPd,

vtkCellData * inCd,

vtkIdType cellId,

vtkCellData * outCd,

int insideOut

) [virtual]

Clip this quadratic hexahedron using scalar value provided. Like contouring, except that it cuts the hex to produce linear tetrahedron.
Implements vtkCell.

int vtkQuadraticHexahedron::IntersectWithLine ( float p1[3],

float p2[3],

float tol,

float & t,

float x[3],

float pcoords[3],

int & subId

) [virtual]

Line-edge intersection. Intersection has to occur within [0,1] parametric coordinates and with specified tolerance.
Implements vtkCell.

void vtkQuadraticHexahedron::InterpolationFunctions ( float pcoords[3],

float weights[3]

) [static]

Quadratic hexahedron specific methods.

void vtkQuadraticHexahedron::InterpolationDerivs ( float pcoords[3],

float derivs[3]

) [static]

Quadratic hexahedron specific methods.

void vtkQuadraticHexahedron::JacobianInverse ( float pcoords[3],

double ** inverse,

float derivs[60]

)

Given parametric coordinates compute inverse Jacobian transformation matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives.

void vtkQuadraticHexahedron::Subdivide ( vtkPointData * inPd,

vtkCellData * inCd,

vtkIdType cellId

) [protected]

Member Data Documentation

vtkQuadraticEdge* vtkQuadraticHexahedron::Edge [protected]

Definition at line 126 of file vtkQuadraticHexahedron.h.

vtkQuadraticQuad* vtkQuadraticHexahedron::Face [protected]

Definition at line 127 of file vtkQuadraticHexahedron.h.

vtkHexahedron* vtkQuadraticHexahedron::Hex [protected]

Definition at line 128 of file vtkQuadraticHexahedron.h.

vtkPointData* vtkQuadraticHexahedron::PointData [protected]

Definition at line 129 of file vtkQuadraticHexahedron.h.

vtkCellData* vtkQuadraticHexahedron::CellData [protected]

Definition at line 130 of file vtkQuadraticHexahedron.h.

vtkFloatArray* vtkQuadraticHexahedron::Scalars [protected]

Definition at line 131 of file vtkQuadraticHexahedron.h.

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

Common/vtkQuadraticHexahedron.h


Public Types
typedef vtkNonLinearCell	Superclass
Public Methods
virtual const char *	GetClassName ()
virtual int	IsA (const char *type)
int	CellBoundary (int subId, float pcoords[3], vtkIdList *pts)
void	Contour (float value, vtkDataArray cellScalars, vtkPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd)
int	EvaluatePosition (float x[3], float closestPoint, int &subId, float pcoords[3], float &dist2, float weights)
void	EvaluateLocation (int &subId, float pcoords[3], float x[3], float *weights)
int	Triangulate (int index, vtkIdList ptIds, vtkPoints pts)
void	Derivatives (int subId, float pcoords[3], float values, int dim, float derivs)
void	JacobianInverse (float pcoords[3], double **inverse, float derivs[60])

int	GetCellType ()
int	GetCellDimension ()
int	GetNumberOfEdges ()
int	GetNumberOfFaces ()
vtkCell *	GetEdge (int)
vtkCell *	GetFace (int)

void	Clip (float value, vtkDataArray cellScalars, vtkPointLocator locator, vtkCellArray tetras, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)

int	IntersectWithLine (float p1[3], float p2[3], float tol, float &t, float x[3], float pcoords[3], int &subId)
Static Public Methods
vtkQuadraticHexahedron *	New ()
int	IsTypeOf (const char *type)
vtkQuadraticHexahedron *	SafeDownCast (vtkObject *o)

void	InterpolationFunctions (float pcoords[3], float weights[3])
void	InterpolationDerivs (float pcoords[3], float derivs[3])
Protected Methods
	vtkQuadraticHexahedron ()
	~vtkQuadraticHexahedron ()
void	Subdivide (vtkPointData inPd, vtkCellData inCd, vtkIdType cellId)
Protected Attributes
vtkQuadraticEdge *	Edge
vtkQuadraticQuad *	Face
vtkHexahedron *	Hex
vtkPointData *	PointData
vtkCellData *	CellData
vtkFloatArray *	Scalars