vtkQuadraticPyramid Class Reference

#include <vtkQuadraticPyramid.h>

Inheritance diagram for vtkQuadraticPyramid:

[legend]Collaboration diagram for vtkQuadraticPyramid:

[legend]List of all members.

Detailed Description

cell represents a parabolic, 13-node isoparametric pyramid

vtkQuadraticPyramid is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 13-node isoparametric parabolic pyramid. The interpolation is the standard finite element, quadratic isoparametric shape function. The cell includes a mid-edge node. The ordering of the thirteen points defining the cell is point ids (0-4,5-12) where point ids 0-4 are the five corner vertices of the pyramid; followed by eight midedge nodes (5-12). Note that these midedge nodes correspond lie on the edges defined by (0,1), (1,2), (2,3), (3,0), (0,4), (1,4), (2,4), (3,4).

See also:: vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticWedge

Thanks :: The shape functions and derivatives could be implemented thanks to the report Pyramid Solid Elements Linear and Quadratic Iso-P Models From Center For Aerospace Structures

Created by:

Bertel, Francois

CVS contributions (if > 5%):

Bertel, Francois (100%)

CVS logs (CVSweb):

.cxx (/Filtering/vtkQuadraticPyramid.cxx)
.h (/Filtering/vtkQuadraticPyramid.h)

Tests:: vtkQuadraticPyramid (Tests)

Definition at line 64 of file vtkQuadraticPyramid.h.

Public Types

typedef vtkNonLinearCell Superclass

Public Member Functions

virtual const char * GetClassName ()

virtual int IsA (const char *type)

void PrintSelf (ostream &os, vtkIndent indent)

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)

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

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

virtual double * GetParametricCoords ()

int GetParametricCenter (double pcoords[3])

void JacobianInverse (double pcoords[3], double **inverse, double derivs[39])

int GetCellType ()

int GetCellDimension ()

int GetNumberOfEdges ()

int GetNumberOfFaces ()

vtkCell * GetEdge (int edgeId)

vtkCell * GetFace (int faceId)

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

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

Static Public Member Functions

vtkQuadraticPyramid * New ()

int IsTypeOf (const char *type)

vtkQuadraticPyramid * SafeDownCast (vtkObject *o)

void InterpolationFunctions (double pcoords[3], double weights[13])

void InterpolationDerivs (double pcoords[3], double derivs[39])

Protected Member Functions

vtkQuadraticPyramid ()

~vtkQuadraticPyramid ()

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

Protected Attributes

vtkQuadraticEdge * Edge

vtkQuadraticTriangle * TriangleFace

vtkQuadraticQuad * Face

vtkTetra * Tetra

vtkPyramid * Pyramid

vtkPointData * PointData

vtkCellData * CellData

vtkDoubleArray * Scalars

Member Typedef Documentation

typedef vtkNonLinearCell vtkQuadraticPyramid::Superclass

Reimplemented from vtkNonLinearCell.
Definition at line 68 of file vtkQuadraticPyramid.h.

Constructor & Destructor Documentation

vtkQuadraticPyramid::vtkQuadraticPyramid ( ) [protected]

vtkQuadraticPyramid::~vtkQuadraticPyramid ( ) [protected]

Member Function Documentation

vtkQuadraticPyramid* vtkQuadraticPyramid::New ( ) [static]

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

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

Reimplemented from vtkNonLinearCell.

int vtkQuadraticPyramid::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 vtkQuadraticPyramid::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.

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

Reimplemented from vtkNonLinearCell.

void vtkQuadraticPyramid::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 vtkQuadraticPyramid::GetCellType ( ) [inline, virtual]

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 74 of file vtkQuadraticPyramid.h.

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

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 75 of file vtkQuadraticPyramid.h.

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

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 76 of file vtkQuadraticPyramid.h.

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

Implement the vtkCell API. See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 77 of file vtkQuadraticPyramid.h.

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

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

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

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

int vtkQuadraticPyramid::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 vtkQuadraticPyramid::Contour ( double 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 vtkQuadraticPyramid::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 vtkQuadraticPyramid::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 vtkQuadraticPyramid::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 vtkQuadraticPyramid::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* vtkQuadraticPyramid::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 vtkQuadraticPyramid::Clip ( double value,

vtkDataArray * cellScalars,

vtkPointLocator * locator,

vtkCellArray * tets,

vtkPointData * inPd,

vtkPointData * outPd,

vtkCellData * inCd,

vtkIdType cellId,

vtkCellData * outCd,

int insideOut

) [virtual]

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

int vtkQuadraticPyramid::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.

int vtkQuadraticPyramid::GetParametricCenter ( double pcoords[3] ) [virtual]

Return the center of the quadratic pyramid in parametric coordinates.
Reimplemented from vtkCell.

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

double weights[13]

) [static]

Quadratic pyramid specific methods.

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

double derivs[39]

) [static]

Quadratic pyramid specific methods.

void vtkQuadraticPyramid::JacobianInverse ( double pcoords[3],

double ** inverse,

double derivs[39]

)

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

void vtkQuadraticPyramid::Subdivide ( vtkPointData * inPd,

vtkCellData * inCd,

vtkIdType cellId

) [protected]

Member Data Documentation

vtkQuadraticEdge* vtkQuadraticPyramid::Edge [protected]

Definition at line 135 of file vtkQuadraticPyramid.h.

vtkQuadraticTriangle* vtkQuadraticPyramid::TriangleFace [protected]

Definition at line 136 of file vtkQuadraticPyramid.h.

vtkQuadraticQuad* vtkQuadraticPyramid::Face [protected]

Definition at line 137 of file vtkQuadraticPyramid.h.

vtkTetra* vtkQuadraticPyramid::Tetra [protected]

Definition at line 138 of file vtkQuadraticPyramid.h.

vtkPyramid* vtkQuadraticPyramid::Pyramid [protected]

Definition at line 139 of file vtkQuadraticPyramid.h.

vtkPointData* vtkQuadraticPyramid::PointData [protected]

Definition at line 140 of file vtkQuadraticPyramid.h.

vtkCellData* vtkQuadraticPyramid::CellData [protected]

Definition at line 141 of file vtkQuadraticPyramid.h.

vtkDoubleArray* vtkQuadraticPyramid::Scalars [protected]

Definition at line 142 of file vtkQuadraticPyramid.h.

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

dox/Filtering/vtkQuadraticPyramid.h


Public Types
typedef vtkNonLinearCell	Superclass
Public Member Functions
virtual const char *	GetClassName ()
virtual int	IsA (const char *type)
void	PrintSelf (ostream &os, vtkIndent indent)
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)
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	Triangulate (int index, vtkIdList ptIds, vtkPoints pts)
void	Derivatives (int subId, double pcoords[3], double values, int dim, double derivs)
virtual double *	GetParametricCoords ()
int	GetParametricCenter (double pcoords[3])
void	JacobianInverse (double pcoords[3], double **inverse, double derivs[39])

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

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

int	IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
Static Public Member Functions
vtkQuadraticPyramid *	New ()
int	IsTypeOf (const char *type)
vtkQuadraticPyramid *	SafeDownCast (vtkObject *o)

void	InterpolationFunctions (double pcoords[3], double weights[13])
void	InterpolationDerivs (double pcoords[3], double derivs[39])
Protected Member Functions
	vtkQuadraticPyramid ()
	~vtkQuadraticPyramid ()
void	Subdivide (vtkPointData inPd, vtkCellData inCd, vtkIdType cellId)
Protected Attributes
vtkQuadraticEdge *	Edge
vtkQuadraticTriangle *	TriangleFace
vtkQuadraticQuad *	Face
vtkTetra *	Tetra
vtkPyramid *	Pyramid
vtkPointData *	PointData
vtkCellData *	CellData
vtkDoubleArray *	Scalars