|
| virtual vtkTypeBool | IsA (const char *type) |
| | Return 1 if this class is the same type of (or a subclass of) the named class.
|
| |
| vtkTriQuadraticPyramid * | NewInstance () const |
| |
| void | PrintSelf (ostream &os, vtkIndent indent) override |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
| int | CellBoundary (int subId, const double pcoords[3], vtkIdList *pts) override |
| | Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.
|
| |
| void | Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override |
| | Generate contouring primitives.
|
| |
| int | EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override |
| | 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.
|
| |
| void | EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights) override |
| | Determine global coordinate (x[3]) from subId and parametric coordinates.
|
| |
| int | IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override |
| | Line-edge intersection.
|
| |
| int | Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts) override |
| | Generate simplices of proper dimension.
|
| |
| void | Derivatives (int subId, const double pcoords[3], const double *values, int dim, double *derivs) override |
| | Compute derivatives given cell subId and parametric coordinates.
|
| |
| double * | GetParametricCoords () override |
| | Return a contiguous array of parametric coordinates of the points defining this cell.
|
| |
| void | Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *tets, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override |
| | Clip this quadratic triangle using scalar value provided.
|
| |
| int | GetParametricCenter (double pcoords[3]) override |
| | Return the center of the tri-quadratic pyramid in parametric coordinates.
|
| |
| double | GetParametricDistance (const double pcoords[3]) override |
| | Return the distance of the parametric coordinate provided to the cell.
|
| |
| void | JacobianInverse (const double pcoords[3], double **inverse, double derivs[57]) |
| | Given parametric coordinates compute inverse Jacobian transformation matrix.
|
| |
|
| int | GetCellType () override |
| | Implement the vtkCell API.
|
| |
| int | GetCellDimension () override |
| | Implement the vtkCell API.
|
| |
| int | GetNumberOfEdges () override |
| | Implement the vtkCell API.
|
| |
| int | GetNumberOfFaces () override |
| | Implement the vtkCell API.
|
| |
| vtkCell * | GetEdge (int edgeId) override |
| | Implement the vtkCell API.
|
| |
| vtkCell * | GetFace (int faceId) override |
| | Implement the vtkCell API.
|
| |
|
| void | InterpolateFunctions (const double pcoords[3], double weights[19]) override |
| | Compute the interpolation functions/derivatives (aka shape functions/derivatives)
|
| |
| void | InterpolateDerivs (const double pcoords[3], double derivs[57]) override |
| | Compute the interpolation functions/derivatives (aka shape functions/derivatives)
|
| |
| virtual vtkTypeBool | IsA (const char *type) |
| | Return 1 if this class is the same type of (or a subclass of) the named class.
|
| |
| vtkNonLinearCell * | NewInstance () const |
| |
| void | PrintSelf (ostream &os, vtkIndent indent) override |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
| int | IsLinear () override |
| | Non-linear cells require special treatment (tessellation) when converting to graphics primitives (during mapping).
|
| |
| virtual vtkTypeBool | IsA (const char *type) |
| | Return 1 if this class is the same type of (or a subclass of) the named class.
|
| |
| vtkCell * | NewInstance () const |
| |
| void | PrintSelf (ostream &os, vtkIndent indent) override |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
| void | Initialize (int npts, const vtkIdType *pts, vtkPoints *p) |
| | Initialize cell from outside with point ids and point coordinates specified.
|
| |
| void | Initialize (int npts, vtkPoints *p) |
| | Initialize the cell with point coordinates specified.
|
| |
| virtual void | ShallowCopy (vtkCell *c) |
| | Copy this cell by reference counting the internal data structures.
|
| |
| virtual void | DeepCopy (vtkCell *c) |
| | Copy this cell by completely copying internal data structures.
|
| |
| virtual int | GetCellType ()=0 |
| | Return the type of cell.
|
| |
| virtual int | GetCellDimension ()=0 |
| | Return the topological dimensional of the cell (0,1,2, or 3).
|
| |
| virtual int | IsLinear () |
| | Non-linear cells require special treatment beyond the usual cell type and connectivity list information.
|
| |
| virtual int | RequiresInitialization () |
| | Some cells require initialization prior to access.
|
| |
| virtual void | Initialize () |
| |
| virtual int | IsExplicitCell () |
| | Explicit cells require additional representational information beyond the usual cell type and connectivity list information.
|
| |
| virtual int | RequiresExplicitFaceRepresentation () |
| | Determine whether the cell requires explicit face representation, and methods for setting and getting the faces (see vtkPolyhedron for example usage of these methods).
|
| |
| virtual void | SetFaces (vtkIdType *vtkNotUsed(faces)) |
| |
| virtual vtkIdType * | GetFaces () |
| |
| vtkPoints * | GetPoints () |
| | Get the point coordinates for the cell.
|
| |
| vtkIdType | GetNumberOfPoints () const |
| | Return the number of points in the cell.
|
| |
| virtual int | GetNumberOfEdges ()=0 |
| | Return the number of edges in the cell.
|
| |
| virtual int | GetNumberOfFaces ()=0 |
| | Return the number of faces in the cell.
|
| |
| vtkIdList * | GetPointIds () |
| | Return the list of point ids defining the cell.
|
| |
| vtkIdType | GetPointId (int ptId) |
| | For cell point i, return the actual point id.
|
| |
| virtual vtkCell * | GetEdge (int edgeId)=0 |
| | Return the edge cell from the edgeId of the cell.
|
| |
| virtual vtkCell * | GetFace (int faceId)=0 |
| | Return the face cell from the faceId of the cell.
|
| |
| virtual int | CellBoundary (int subId, const double pcoords[3], vtkIdList *pts)=0 |
| | Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.
|
| |
| virtual int | EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[])=0 |
| | 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.
|
| |
| virtual void | EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights)=0 |
| | Determine global coordinate (x[3]) from subId and parametric coordinates.
|
| |
| virtual void | Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)=0 |
| | Generate contouring primitives.
|
| |
| virtual void | Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0 |
| | Cut (or clip) the cell based on the input cellScalars and the specified value.
|
| |
| virtual int | Inflate (double dist) |
| | Inflates the cell.
|
| |
| virtual double | ComputeBoundingSphere (double center[3]) const |
| | Computes the bounding sphere of the cell.
|
| |
| virtual int | IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0 |
| | Intersect with a ray.
|
| |
| virtual int | Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)=0 |
| | Generate simplices of proper dimension.
|
| |
| virtual void | Derivatives (int subId, const double pcoords[3], const double *values, int dim, double *derivs)=0 |
| | Compute derivatives given cell subId and parametric coordinates.
|
| |
| void | GetBounds (double bounds[6]) |
| | Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).
|
| |
| double * | GetBounds () |
| | Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).
|
| |
| double | GetLength2 () |
| | Compute Length squared of cell (i.e., bounding box diagonal squared).
|
| |
| virtual int | GetParametricCenter (double pcoords[3]) |
| | Return center of the cell in parametric coordinates.
|
| |
| virtual double | GetParametricDistance (const double pcoords[3]) |
| | Return the distance of the parametric coordinate provided to the cell.
|
| |
| virtual int | IsPrimaryCell () |
| | Return whether this cell type has a fixed topology or whether the topology varies depending on the data (e.g., vtkConvexPointSet).
|
| |
| virtual double * | GetParametricCoords () |
| | Return a contiguous array of parametric coordinates of the points defining this cell.
|
| |
| virtual void | InterpolateFunctions (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight)) |
| | Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this level.
|
| |
| virtual void | InterpolateDerivs (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs)) |
| |
| virtual int | IntersectWithCell (vtkCell *other, double tol=0.0) |
| | Intersects with an other cell.
|
| |
| virtual int | IntersectWithCell (vtkCell *other, const vtkBoundingBox &boudingBox, const vtkBoundingBox &otherBoundingBox, double tol=0.0) |
| | Intersects with an other cell.
|
| |
| | vtkBaseTypeMacro (vtkObject, vtkObjectBase) |
| |
| virtual void | DebugOn () |
| | Turn debugging output on.
|
| |
| virtual void | DebugOff () |
| | Turn debugging output off.
|
| |
| bool | GetDebug () |
| | Get the value of the debug flag.
|
| |
| void | SetDebug (bool debugFlag) |
| | Set the value of the debug flag.
|
| |
| virtual void | Modified () |
| | Update the modification time for this object.
|
| |
| virtual vtkMTimeType | GetMTime () |
| | Return this object's modified time.
|
| |
| void | PrintSelf (ostream &os, vtkIndent indent) override |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
| void | RemoveObserver (unsigned long tag) |
| |
| void | RemoveObservers (unsigned long event) |
| |
| void | RemoveObservers (const char *event) |
| |
| void | RemoveAllObservers () |
| |
| vtkTypeBool | HasObserver (unsigned long event) |
| |
| vtkTypeBool | HasObserver (const char *event) |
| |
| int | InvokeEvent (unsigned long event) |
| |
| int | InvokeEvent (const char *event) |
| |
| unsigned long | AddObserver (unsigned long event, vtkCommand *, float priority=0.0f) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| unsigned long | AddObserver (const char *event, vtkCommand *, float priority=0.0f) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| vtkCommand * | GetCommand (unsigned long tag) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| void | RemoveObserver (vtkCommand *) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| void | RemoveObservers (unsigned long event, vtkCommand *) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| void | RemoveObservers (const char *event, vtkCommand *) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| vtkTypeBool | HasObserver (unsigned long event, vtkCommand *) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| vtkTypeBool | HasObserver (const char *event, vtkCommand *) |
| | Allow people to add/remove/invoke observers (callbacks) to any VTK object.
|
| |
| template<class U , class T > |
| unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f) |
| | Overloads to AddObserver that allow developers to add class member functions as callbacks for events.
|
| |
| template<class U , class T > |
| unsigned long | AddObserver (unsigned long event, U observer, void(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f) |
| | Overloads to AddObserver that allow developers to add class member functions as callbacks for events.
|
| |
| template<class U , class T > |
| unsigned long | AddObserver (unsigned long event, U observer, bool(T::*callback)(vtkObject *, unsigned long, void *), float priority=0.0f) |
| | Allow user to set the AbortFlagOn() with the return value of the callback method.
|
| |
| int | InvokeEvent (unsigned long event, void *callData) |
| | This method invokes an event and return whether the event was aborted or not.
|
| |
| int | InvokeEvent (const char *event, void *callData) |
| | This method invokes an event and return whether the event was aborted or not.
|
| |
| const char * | GetClassName () const |
| | Return the class name as a string.
|
| |
| virtual vtkTypeBool | IsA (const char *name) |
| | Return 1 if this class is the same type of (or a subclass of) the named class.
|
| |
| virtual vtkIdType | GetNumberOfGenerationsFromBase (const char *name) |
| | Given the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class).
|
| |
| virtual void | Delete () |
| | Delete a VTK object.
|
| |
| virtual void | FastDelete () |
| | Delete a reference to this object.
|
| |
| void | InitializeObjectBase () |
| |
| void | Print (ostream &os) |
| | Print an object to an ostream.
|
| |
| virtual void | Register (vtkObjectBase *o) |
| | Increase the reference count (mark as used by another object).
|
| |
| virtual void | UnRegister (vtkObjectBase *o) |
| | Decrease the reference count (release by another object).
|
| |
| int | GetReferenceCount () |
| | Return the current reference count of this object.
|
| |
| void | SetReferenceCount (int) |
| | Sets the reference count.
|
| |
| bool | GetIsInMemkind () const |
| | A local state flag that remembers whether this object lives in the normal or extended memory space.
|
| |
| virtual void | PrintHeader (ostream &os, vtkIndent indent) |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
| virtual void | PrintTrailer (ostream &os, vtkIndent indent) |
| | Methods invoked by print to print information about the object including superclasses.
|
| |
cell represents a parabolic, 13-node isoparametric pyramid
vtkTriQuadraticPyramid is a concrete implementation of vtkNonLinearCell to represent a second order three-dimensional isoparametric 19-node pyramid. The interpolation is the standard finite element, tri-quadratic isoparametric shape function. The cell includes 5 corner nodes, 8 mid-edge nodes, 5 mid-face nodes, and 1 volumetric centroid node. The ordering of the nineteen points defining the cell is point ids (0-4, 5-12, 13-17, 18), where point ids 0-4 are the five corner vertices of the pyramid; followed by 8 mid-edge nodes (5-12); followed by 5 mid-face nodes (13-17), and the last node (19) is the volumetric centroid node. Note that these mid-edge nodes lie on the edges defined by (0, 1), (1, 2), (2, 3), (3, 0), (0, 4), (1, 4), (2, 4), (3, 4), respectively. The mid-face nodes lie on the faces defined by (first corner nodes id's, then mid-edge node id's): quadrilateral face: (0, 3, 2, 1, 8, 7, 6, 5), triangle face 1: (0, 1, 4, 5, 10, 9), triangle face 2: (1, 2, 4, 6, 11, 10), triangle face 3: (2, 3, 4, 7, 12, 11), triangle face 5: (3, 0, 4, 8, 9, 12). The last point lies in the center of the cell (0, 1, 2, 3, 4). The parametric location of vertex #4 is [0.5, 0.5, 1].
- Note
- It should be noted that the parametric coordinates that describe this cell are not distorted like in vtkPyramid and vtkQuadraticPyramid, which are a collapsed hexahedron. They are the actual uniform isoparametric coordinates, which are described in Browning's dissertation (see thanks section), but they are converted to [0, 1] space, and the nodes are rotated so that node-0 has x = 0, y = 0, while maintaining the CCW order.
* Description of 19-node pyramid from bottom to top (based on the z-axis).
*
* base quadrilateral including mid-edge nodes and mid-face node:
* 3-- 7--2
* | |
* 8 13 6
* | |
* 0-- 5--1
*
* volumetric centroid node:
*
*
* 18
*
*
* mid-face nodes of triangular faces:
*
* 16
* / \
* 17 15
* \ /
* 14
*
* mid-edge nodes of triangular faces:
*
* 12--11
* | |
* 9--10
*
* top corner(apex):
*
*
* 4
*
*
*
- See also
- vtkQuadraticEdge vtkBiQuadraticTriangle vtkQuadraticTetra vtkQuadraticHexahedron vtkBiQuadraticQuad vtkQuadraticWedge
- Thanks:
- The shape functions and derivatives could be implemented thanks to the doctoral dissertation: R.S. Browning. A Second-Order 19-Node Pyramid Finite Element Suitable for Lumped Mass Explicit Dynamic methods in Nonlinear Solid Mechanics, University of Alabama at Birmingham.
Definition at line 104 of file vtkTriQuadraticPyramid.h.
Public Types inherited from vtkNonLinearCell
1.9.6