VTK
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cell represents a biquadratic, 24-node isoparametric hexahedron More...
#include <vtkBiQuadraticQuadraticHexahedron.h>
Public Types | |
typedef vtkNonLinearCell | Superclass |
Public Types inherited from vtkNonLinearCell | |
typedef vtkCell | Superclass |
Public Types inherited from vtkCell | |
typedef vtkObject | Superclass |
Public Member Functions | |
virtual int | IsA (const char *type) |
Return 1 if this class is the same type of (or a subclass of) the named class. More... | |
vtkBiQuadraticQuadraticHexahedron * | NewInstance () const |
void | PrintSelf (ostream &os, vtkIndent indent) override |
Methods invoked by print to print information about the object including superclasses. More... | |
int | CellBoundary (int subId, 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. More... | |
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. More... | |
int | EvaluatePosition (double x[3], double *closestPoint, 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. More... | |
void | EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights) override |
Determine global coordinate (x[3]) from subId and parametric coordinates. More... | |
int | Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts) override |
Generate simplices of proper dimension. More... | |
void | Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs) override |
Compute derivatives given cell subId and parametric coordinates. More... | |
double * | GetParametricCoords () override |
Return a contiguous array of parametric coordinates of the points defining this cell. More... | |
void | Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *tetras, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override |
Clip this biquadratic hexahedron using scalar value provided. More... | |
int | IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override |
Line-edge intersection. More... | |
void | JacobianInverse (double pcoords[3], double **inverse, double derivs[72]) |
Given parametric coordinates compute inverse Jacobian transformation matrix. More... | |
int | GetCellType () override |
Implement the vtkCell API. More... | |
int | GetCellDimension () override |
Implement the vtkCell API. More... | |
int | GetNumberOfEdges () override |
Implement the vtkCell API. More... | |
int | GetNumberOfFaces () override |
Implement the vtkCell API. More... | |
vtkCell * | GetEdge (int) override |
Implement the vtkCell API. More... | |
vtkCell * | GetFace (int) override |
Implement the vtkCell API. More... | |
void | InterpolateFunctions (double pcoords[3], double weights[24]) override |
Compute the interpolation functions/derivatives (aka shape functions/derivatives) More... | |
void | InterpolateDerivs (double pcoords[3], double derivs[72]) override |
Compute the interpolation functions/derivatives (aka shape functions/derivatives) More... | |
Public Member Functions inherited from vtkNonLinearCell | |
vtkNonLinearCell * | NewInstance () const |
void | PrintSelf (ostream &os, vtkIndent indent) override |
Methods invoked by print to print information about the object including superclasses. More... | |
int | IsLinear () override |
Non-linear cells require special treatment (tessellation) when converting to graphics primitives (during mapping). More... | |
Public Member Functions inherited from vtkCell | |
vtkCell * | NewInstance () const |
void | Initialize (int npts, vtkIdType *pts, vtkPoints *p) |
Initialize cell from outside with point ids and point coordinates specified. More... | |
virtual void | ShallowCopy (vtkCell *c) |
Copy this cell by reference counting the internal data structures. More... | |
virtual void | DeepCopy (vtkCell *c) |
Copy this cell by completely copying internal data structures. More... | |
virtual int | RequiresInitialization () |
Some cells require initialization prior to access. More... | |
virtual void | Initialize () |
virtual int | IsExplicitCell () |
Explicit cells require additional representational information beyond the usual cell type and connectivity list information. More... | |
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). More... | |
virtual void | SetFaces (vtkIdType *vtkNotUsed(faces)) |
virtual vtkIdType * | GetFaces () |
vtkPoints * | GetPoints () |
Get the point coordinates for the cell. More... | |
vtkIdType | GetNumberOfPoints () |
Return the number of points in the cell. More... | |
vtkIdList * | GetPointIds () |
Return the list of point ids defining the cell. More... | |
vtkIdType | GetPointId (int ptId) |
For cell point i, return the actual point id. More... | |
void | GetBounds (double bounds[6]) |
Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax). More... | |
double * | GetBounds () |
Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax). More... | |
double | GetLength2 () |
Compute Length squared of cell (i.e., bounding box diagonal squared). More... | |
virtual int | GetParametricCenter (double pcoords[3]) |
Return center of the cell in parametric coordinates. More... | |
virtual double | GetParametricDistance (double pcoords[3]) |
Return the distance of the parametric coordinate provided to the cell. More... | |
virtual int | IsPrimaryCell () |
Return whether this cell type has a fixed topology or whether the topology varies depending on the data (e.g., vtkConvexPointSet). More... | |
virtual void | InterpolateFunctions (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight)) |
Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this level. More... | |
virtual void | InterpolateDerivs (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs)) |
Public Member Functions inherited from vtkObject | |
vtkBaseTypeMacro (vtkObject, vtkObjectBase) | |
virtual void | DebugOn () |
Turn debugging output on. More... | |
virtual void | DebugOff () |
Turn debugging output off. More... | |
bool | GetDebug () |
Get the value of the debug flag. More... | |
void | SetDebug (bool debugFlag) |
Set the value of the debug flag. More... | |
virtual void | Modified () |
Update the modification time for this object. More... | |
virtual vtkMTimeType | GetMTime () |
Return this object's modified time. More... | |
void | RemoveObserver (unsigned long tag) |
void | RemoveObservers (unsigned long event) |
void | RemoveObservers (const char *event) |
void | RemoveAllObservers () |
int | HasObserver (unsigned long event) |
int | 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. More... | |
unsigned long | AddObserver (const char *event, vtkCommand *, float priority=0.0f) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
vtkCommand * | GetCommand (unsigned long tag) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
void | RemoveObserver (vtkCommand *) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
void | RemoveObservers (unsigned long event, vtkCommand *) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
void | RemoveObservers (const char *event, vtkCommand *) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
int | HasObserver (unsigned long event, vtkCommand *) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
int | HasObserver (const char *event, vtkCommand *) |
Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
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. More... | |
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. More... | |
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. More... | |
int | InvokeEvent (unsigned long event, void *callData) |
This method invokes an event and return whether the event was aborted or not. More... | |
int | InvokeEvent (const char *event, void *callData) |
This method invokes an event and return whether the event was aborted or not. More... | |
Public Member Functions inherited from vtkObjectBase | |
const char * | GetClassName () const |
Return the class name as a string. More... | |
virtual void | Delete () |
Delete a VTK object. More... | |
virtual void | FastDelete () |
Delete a reference to this object. More... | |
void | InitializeObjectBase () |
void | Print (ostream &os) |
Print an object to an ostream. More... | |
virtual void | Register (vtkObjectBase *o) |
Increase the reference count (mark as used by another object). More... | |
virtual void | UnRegister (vtkObjectBase *o) |
Decrease the reference count (release by another object). More... | |
int | GetReferenceCount () |
Return the current reference count of this object. More... | |
void | SetReferenceCount (int) |
Sets the reference count. More... | |
void | PrintRevisions (ostream &) |
Legacy. More... | |
virtual void | PrintHeader (ostream &os, vtkIndent indent) |
Methods invoked by print to print information about the object including superclasses. More... | |
virtual void | PrintTrailer (ostream &os, vtkIndent indent) |
Methods invoked by print to print information about the object including superclasses. More... | |
Static Public Member Functions | |
static vtkBiQuadraticQuadraticHexahedron * | New () |
static int | IsTypeOf (const char *type) |
static vtkBiQuadraticQuadraticHexahedron * | SafeDownCast (vtkObjectBase *o) |
static void | InterpolationFunctions (double pcoords[3], double weights[24]) |
static void | InterpolationDerivs (double pcoords[3], double derivs[72]) |
static int * | GetEdgeArray (int edgeId) |
Return the ids of the vertices defining edge/face (edgeId /`faceId'). More... | |
static int * | GetFaceArray (int faceId) |
Return the ids of the vertices defining edge/face (edgeId /`faceId'). More... | |
Static Public Member Functions inherited from vtkNonLinearCell | |
static int | IsTypeOf (const char *type) |
static vtkNonLinearCell * | SafeDownCast (vtkObjectBase *o) |
Static Public Member Functions inherited from vtkCell | |
static int | IsTypeOf (const char *type) |
static vtkCell * | SafeDownCast (vtkObjectBase *o) |
Static Public Member Functions inherited from vtkObject | |
static vtkObject * | New () |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More... | |
static void | BreakOnError () |
This method is called when vtkErrorMacro executes. More... | |
static void | SetGlobalWarningDisplay (int val) |
This is a global flag that controls whether any debug, warning or error messages are displayed. More... | |
static void | GlobalWarningDisplayOn () |
This is a global flag that controls whether any debug, warning or error messages are displayed. More... | |
static void | GlobalWarningDisplayOff () |
This is a global flag that controls whether any debug, warning or error messages are displayed. More... | |
static int | GetGlobalWarningDisplay () |
This is a global flag that controls whether any debug, warning or error messages are displayed. More... | |
Static Public Member Functions inherited from vtkObjectBase | |
static vtkTypeBool | IsTypeOf (const char *name) |
Return 1 if this class type is the same type of (or a subclass of) the named class. More... | |
static vtkObjectBase * | New () |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More... | |
Protected Member Functions | |
virtual vtkObjectBase * | NewInstanceInternal () const |
vtkBiQuadraticQuadraticHexahedron () | |
~vtkBiQuadraticQuadraticHexahedron () override | |
void | Subdivide (vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId, vtkDataArray *cellScalars) |
Protected Member Functions inherited from vtkNonLinearCell | |
vtkNonLinearCell () | |
~vtkNonLinearCell () override | |
Protected Member Functions inherited from vtkCell | |
vtkCell () | |
~vtkCell () override | |
Protected Member Functions inherited from vtkObject | |
vtkObject () | |
~vtkObject () override | |
void | RegisterInternal (vtkObjectBase *, vtkTypeBool check) override |
void | UnRegisterInternal (vtkObjectBase *, vtkTypeBool check) override |
void | InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=NULL) |
These methods allow a command to exclusively grab all events. More... | |
void | InternalReleaseFocus () |
These methods allow a command to exclusively grab all events. More... | |
Protected Member Functions inherited from vtkObjectBase | |
vtkObjectBase () | |
virtual | ~vtkObjectBase () |
virtual void | CollectRevisions (ostream &) |
virtual void | ReportReferences (vtkGarbageCollector *) |
vtkObjectBase (const vtkObjectBase &) | |
void | operator= (const vtkObjectBase &) |
Protected Attributes | |
vtkQuadraticEdge * | Edge |
vtkQuadraticQuad * | Face |
vtkBiQuadraticQuad * | BiQuadFace |
vtkHexahedron * | Hex |
vtkPointData * | PointData |
vtkCellData * | CellData |
vtkDoubleArray * | CellScalars |
vtkDoubleArray * | Scalars |
Protected Attributes inherited from vtkCell | |
double | Bounds [6] |
Protected Attributes inherited from vtkObject | |
bool | Debug |
vtkTimeStamp | MTime |
vtkSubjectHelper * | SubjectHelper |
Protected Attributes inherited from vtkObjectBase | |
vtkAtomicInt32 | ReferenceCount |
vtkWeakPointerBase ** | WeakPointers |
Additional Inherited Members | |
Public Attributes inherited from vtkCell | |
vtkPoints * | Points |
vtkIdList * | PointIds |
cell represents a biquadratic, 24-node isoparametric hexahedron
vtkBiQuadraticQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 24-node isoparametric biquadratic hexahedron. The interpolation is the standard finite element, biquadratic-quadratic isoparametric shape function. The cell includes mid-edge and center-face nodes. The ordering of the 24 points defining the cell is point ids (0-7,8-19, 20-23) where point ids 0-7 are the eight corner vertices of the cube; followed by twelve midedge nodes (8-19), nodes 20-23 are the center-face nodes. 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). The center face nodes laying in quad 22-(0,1,5,4), 21-(1,2,6,5), 23-(2,3,7,6) and 22-(3,0,4,7)
* * top * 7--14--6 * | | * 15 13 * | | * 4--12--5 * * middle * 19--23--18 * | | * 20 21 * | | * 16--22--17 * * bottom * 3--10--2 * | | * 11 9 * | | * 0-- 8--1 * *
Definition at line 83 of file vtkBiQuadraticQuadraticHexahedron.h.
Definition at line 87 of file vtkBiQuadraticQuadraticHexahedron.h.
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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 vtkNonLinearCell.
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Reimplemented from vtkNonLinearCell.
vtkBiQuadraticQuadraticHexahedron* vtkBiQuadraticQuadraticHexahedron::NewInstance | ( | ) | const |
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Implement the vtkCell API.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 95 of file vtkBiQuadraticQuadraticHexahedron.h.
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Implement the vtkCell API.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 96 of file vtkBiQuadraticQuadraticHexahedron.h.
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Implement the vtkCell API.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 97 of file vtkBiQuadraticQuadraticHexahedron.h.
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Implement the vtkCell API.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 98 of file vtkBiQuadraticQuadraticHexahedron.h.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Clip this biquadratic hexahedron using scalar value provided.
Like contouring, except that it cuts the hex to produce linear tetrahedron.
Implements vtkCell.
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Line-edge intersection.
Intersection has to occur within [0,1] parametric coordinates and with specified tolerance.
Implements vtkCell.
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Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 150 of file vtkBiQuadraticQuadraticHexahedron.h.
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Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 154 of file vtkBiQuadraticQuadraticHexahedron.h.
Return the ids of the vertices defining edge/face (edgeId
/`faceId').
Ids are related to the cell, not to the dataset.
Return the ids of the vertices defining edge/face (edgeId
/`faceId').
Ids are related to the cell, not to the dataset.
void vtkBiQuadraticQuadraticHexahedron::JacobianInverse | ( | double | pcoords[3], |
double ** | inverse, | ||
double | derivs[72] | ||
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Given parametric coordinates compute inverse Jacobian transformation matrix.
Returns 9 elements of 3x3 inverse Jacobian plus interpolation function derivatives.
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Definition at line 179 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 180 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 181 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 182 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 183 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 184 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 185 of file vtkBiQuadraticQuadraticHexahedron.h.
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Definition at line 186 of file vtkBiQuadraticQuadraticHexahedron.h.