VTK
9.0.20210115
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cell represents a parabolic, 10-node isoparametric tetrahedron More...
#include <vtkQuadraticTetra.h>
Public Types | |
typedef vtkNonLinearCell | Superclass |
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typedef vtkCell | Superclass |
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typedef vtkObject | Superclass |
Public Member Functions | |
virtual vtkTypeBool | IsA (const char *type) |
Return 1 if this class is the same type of (or a subclass of) the named class. More... | |
vtkQuadraticTetra * | NewInstance () const |
void | PrintSelf (ostream &os, vtkIndent indent) override |
Methods invoked by print to print information about the object including superclasses. More... | |
int | GetCellType () override |
Implement the vtkCell API. More... | |
int | GetCellDimension () override |
Return the topological dimensional of the cell (0,1,2, or 3). More... | |
int | GetNumberOfEdges () override |
Return the number of edges in the cell. More... | |
int | GetNumberOfFaces () override |
Return the number of faces in the cell. More... | |
vtkCell * | GetEdge (int) override |
Return the edge cell from the edgeId of the cell. More... | |
vtkCell * | GetFace (int) override |
Return the face cell from the faceId of the cell. More... | |
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. 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 (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. More... | |
void | EvaluateLocation (int &subId, const 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, const double pcoords[3], const 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 edge using scalar value provided. More... | |
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. More... | |
int | GetParametricCenter (double pcoords[3]) override |
Return the center of the quadratic tetra in parametric coordinates. More... | |
double | GetParametricDistance (const double pcoords[3]) override |
Return the distance of the parametric coordinate provided to the cell. More... | |
void | InterpolateFunctions (const double pcoords[3], double weights[10]) override |
Compute the interpolation functions/derivatives (aka shape functions/derivatives) More... | |
void | InterpolateDerivs (const double pcoords[3], double derivs[30]) override |
void | JacobianInverse (const double pcoords[3], double **inverse, double derivs[30]) |
Given parametric coordinates compute inverse Jacobian transformation matrix. More... | |
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vtkNonLinearCell * | NewInstance () const |
int | IsLinear () override |
Non-linear cells require special treatment (tessellation) when converting to graphics primitives (during mapping). More... | |
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vtkCell * | NewInstance () const |
void | Initialize (int npts, const vtkIdType *pts, vtkPoints *p) |
Initialize cell from outside with point ids and point coordinates specified. More... | |
void | Initialize (int npts, vtkPoints *p) |
Initialize the cell with 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... | |
virtual int | Inflate (double dist) |
Inflates the cell. More... | |
virtual double | ComputeBoundingSphere (double center[3]) const |
Computes the bounding sphere of the cell. More... | |
virtual int | IntersectWithCell (vtkCell *other, double tol=0.0) |
Intersects with an other cell. More... | |
virtual int | IntersectWithCell (vtkCell *other, const vtkBoundingBox &boudingBox, const vtkBoundingBox &otherBoundingBox, double tol=0.0) |
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 | 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 (const 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 (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs)) |
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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... | |
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) |
vtkCommand * | GetCommand (unsigned long tag) |
void | RemoveObserver (vtkCommand *) |
void | RemoveObservers (unsigned long event, vtkCommand *) |
void | RemoveObservers (const char *event, vtkCommand *) |
vtkTypeBool | HasObserver (unsigned long event, vtkCommand *) |
vtkTypeBool | HasObserver (const char *event, vtkCommand *) |
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) |
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) |
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) |
int | InvokeEvent (unsigned long event) |
int | InvokeEvent (const char *event) |
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const char * | GetClassName () const |
Return the class name as a string. More... | |
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). 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 | PrintHeader (ostream &os, vtkIndent indent) |
virtual void | PrintTrailer (ostream &os, vtkIndent indent) |
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... | |
bool | GetIsInMemkind () const |
A local state flag that remembers whether this object lives in the normal or extended memory space. More... | |
Static Public Member Functions | |
static vtkQuadraticTetra * | New () |
static vtkTypeBool | IsTypeOf (const char *type) |
static vtkQuadraticTetra * | SafeDownCast (vtkObjectBase *o) |
static void | InterpolationFunctions (const double pcoords[3], double weights[10]) |
static void | InterpolationDerivs (const double pcoords[3], double derivs[30]) |
static const vtkIdType * | GetEdgeArray (vtkIdType edgeId) |
Return the ids of the vertices defining edge/face (edgeId /‘faceId’). More... | |
static const vtkIdType * | GetFaceArray (vtkIdType faceId) |
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static vtkTypeBool | IsTypeOf (const char *type) |
static vtkNonLinearCell * | SafeDownCast (vtkObjectBase *o) |
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static vtkTypeBool | IsTypeOf (const char *type) |
static vtkCell * | SafeDownCast (vtkObjectBase *o) |
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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 () |
static void | GlobalWarningDisplayOff () |
static int | GetGlobalWarningDisplay () |
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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 vtkIdType | GetNumberOfGenerationsFromBaseType (const char *name) |
Given a 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). More... | |
static vtkObjectBase * | New () |
Create an object with Debug turned off, modified time initialized to zero, and reference counting on. More... | |
static void | SetMemkindDirectory (const char *directoryname) |
The name of a directory, ideally mounted -o dax, to memory map an extended memory space within. More... | |
static bool | GetUsingMemkind () |
A global state flag that controls whether vtkObjects are constructed in the usual way (the default) or within the extended memory space. More... | |
Protected Member Functions | |
virtual vtkObjectBase * | NewInstanceInternal () const |
vtkQuadraticTetra () | |
~vtkQuadraticTetra () override | |
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vtkNonLinearCell () | |
~vtkNonLinearCell () override=default | |
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vtkCell () | |
~vtkCell () override | |
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vtkObject () | |
~vtkObject () override | |
void | RegisterInternal (vtkObjectBase *, vtkTypeBool check) override |
void | UnRegisterInternal (vtkObjectBase *, vtkTypeBool check) override |
void | InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=nullptr) |
These methods allow a command to exclusively grab all events. More... | |
void | InternalReleaseFocus () |
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vtkObjectBase () | |
virtual | ~vtkObjectBase () |
virtual void | ReportReferences (vtkGarbageCollector *) |
vtkObjectBase (const vtkObjectBase &) | |
void | operator= (const vtkObjectBase &) |
Protected Attributes | |
vtkQuadraticEdge * | Edge |
vtkQuadraticTriangle * | Face |
vtkTetra * | Tetra |
vtkDoubleArray * | Scalars |
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double | Bounds [6] |
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bool | Debug |
vtkTimeStamp | MTime |
vtkSubjectHelper * | SubjectHelper |
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std::atomic< int32_t > | ReferenceCount |
vtkWeakPointerBase ** | WeakPointers |
Additional Inherited Members | |
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vtkPoints * | Points |
vtkIdList * | PointIds |
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static vtkMallocingFunction | GetCurrentMallocFunction () |
static vtkReallocingFunction | GetCurrentReallocFunction () |
static vtkFreeingFunction | GetCurrentFreeFunction () |
static vtkFreeingFunction | GetAlternateFreeFunction () |
cell represents a parabolic, 10-node isoparametric tetrahedron
vtkQuadraticTetra is a concrete implementation of vtkNonLinearCell to represent a three-dimensional, 10-node, isoparametric parabolic tetrahedron. The interpolation is the standard finite element, quadratic isoparametric shape function. The cell includes a mid-edge node on each of the size edges of the tetrahedron. The ordering of the ten points defining the cell is point ids (0-3,4-9) where ids 0-3 are the four tetra vertices; and point ids 4-9 are the midedge nodes between (0,1), (1,2), (2,0), (0,3), (1,3), and (2,3).
Note that this class uses an internal linear tessellation for some internal operations (e.g., clipping and contouring). This means that some artifacts may appear trying to represent a non-linear interpolation function with linear tets.
Definition at line 48 of file vtkQuadraticTetra.h.
Definition at line 52 of file vtkQuadraticTetra.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.
vtkQuadraticTetra* vtkQuadraticTetra::NewInstance | ( | ) | const |
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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.
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Implement the vtkCell API.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 60 of file vtkQuadraticTetra.h.
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Return the topological dimensional of the cell (0,1,2, or 3).
Implements vtkCell.
Definition at line 61 of file vtkQuadraticTetra.h.
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Return the number of edges in the cell.
Implements vtkCell.
Definition at line 62 of file vtkQuadraticTetra.h.
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Return the number of faces in the cell.
Implements vtkCell.
Definition at line 63 of file vtkQuadraticTetra.h.
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Return the edge cell from the edgeId of the cell.
Implements vtkCell.
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Return the face cell from the faceId of the cell.
The returned vtkCell is an object owned by this instance, hence the return value must not be deleted by the caller.
Implements vtkCell.
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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 nullptr, then no interpolation is performed. Also, if the output cell data is non-nullptr, 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-nullptr 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 edge using scalar value provided.
Like contouring, except that it cuts the tetra to produce new tetras.
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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Return the center of the quadratic tetra in parametric coordinates.
Reimplemented from vtkCell.
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Return the distance of the parametric coordinate provided to the cell.
If inside the cell, a distance of zero is returned.
Reimplemented from vtkCell.
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Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 113 of file vtkQuadraticTetra.h.
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Definition at line 117 of file vtkQuadraticTetra.h.
void vtkQuadraticTetra::JacobianInverse | ( | const double | pcoords[3], |
double ** | inverse, | ||
double | derivs[30] | ||
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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 145 of file vtkQuadraticTetra.h.
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Definition at line 146 of file vtkQuadraticTetra.h.
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Definition at line 147 of file vtkQuadraticTetra.h.
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Definition at line 148 of file vtkQuadraticTetra.h.