A 2D cell that represents an arbitrary order Lagrange triangle. More...
#include <vtkLagrangeTriangle.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 vtkTypeBool | IsA (const char *type) |
| Return 1 if this class is the same type of (or a subclass of) the named class. More... | |
| vtkLagrangeTriangle * | 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 |
| Return the type of cell. More... | |
| int | GetCellDimension () override |
| Return the topological dimensional of the cell (0,1,2, or 3). More... | |
| int | RequiresInitialization () override |
| Some cells require initialization prior to access. 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 edgeId) 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... | |
| void | Initialize () override |
| 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... | |
| 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... | |
| 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... | |
| void | Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override |
| Cut (or clip) the cell based on the input cellScalars and the specified value. More... | |
| int | IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override |
| Intersect with a ray. More... | |
| int | Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts) override |
| Generate simplices of proper dimension. More... | |
| void | JacobianInverse (const double pcoords[3], double **inverse, double *derivs) |
| 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... | |
| int | GetParametricCenter (double pcoords[3]) override |
| Return center of the cell 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) override |
| void | InterpolateDerivs (const double pcoords[3], double *derivs) override |
| vtkIdType | GetOrder () const |
| vtkIdType | ComputeOrder () |
| void | ToBarycentricIndex (vtkIdType index, vtkIdType *bindex) |
| vtkIdType | ToIndex (const vtkIdType *bindex) |
| 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... | |
| 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 | 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 | 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)) |
| 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 () |
| 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. 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... | |
| vtkTypeBool | HasObserver (unsigned long event, vtkCommand *) |
| Allow people to add/remove/invoke observers (callbacks) to any VTK object. More... | |
| vtkTypeBool | 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 vtkLagrangeTriangle * | New () |
| static vtkTypeBool | IsTypeOf (const char *type) |
| static vtkLagrangeTriangle * | SafeDownCast (vtkObjectBase *o) |
| static int | MaximumOrder () |
| static int | MaximumNumberOfPoints () |
| static void | ComputeParametricCoords (double *, vtkIdType) |
| static void | BarycentricIndex (vtkIdType index, vtkIdType *bindex, vtkIdType order) |
| static vtkIdType | Index (const vtkIdType *bindex, vtkIdType order) |
| static double | eta (vtkIdType n, vtkIdType chi, double sigma) |
| static double | d_eta (vtkIdType n, vtkIdType chi, double sigma) |
| Static Public Member Functions inherited from vtkNonLinearCell | |
| static vtkTypeBool | IsTypeOf (const char *type) |
| static vtkNonLinearCell * | SafeDownCast (vtkObjectBase *o) |
| Static Public Member Functions inherited from vtkCell | |
| static vtkTypeBool | 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 |
| vtkLagrangeTriangle () | |
| ~vtkLagrangeTriangle () override | |
| vtkIdType | GetNumberOfSubtriangles () const |
| vtkIdType | ComputeNumberOfSubtriangles () |
| void | SubtriangleBarycentricPointIndices (vtkIdType cellIndex, vtkIdType(&pointBIndices)[3][3]) |
| 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=nullptr) |
| 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 | |
| vtkLagrangeCurve * | Edge |
| vtkTriangle * | Face |
| vtkDoubleArray * | Scalars |
| vtkIdType | Order |
| vtkIdType | NumberOfSubtriangles |
| double * | ParametricCoordinates |
| vtkIdType | EdgeIds [VTK_LAGRANGE_TRIANGLE_MAX_ORDER+1] |
| vtkIdType | BarycentricIndexMap [3 *MAX_POINTS] |
| vtkIdType | IndexMap [(VTK_LAGRANGE_TRIANGLE_MAX_ORDER+1)*(VTK_LAGRANGE_TRIANGLE_MAX_ORDER+1)] |
| vtkIdType | SubtriangleIndexMap [9 *MAX_SUBTRIANGLES] |
| 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 |
Detailed Description
A 2D cell that represents an arbitrary order Lagrange triangle.
vtkLagrangeTriangle is a concrete implementation of vtkCell to represent a 2D triangle using Lagrange shape functions of user specified order.
The number of points in a Lagrange cell determines the order over which they are iterated relative to the parametric coordinate system of the cell. The first points that are reported are vertices. They appear in the same order in which they would appear in linear cells. Mid-edge points are reported next. They are reported in sequence. For two- and three-dimensional (3D) cells, the following set of points to be reported are face points. Finally, 3D cells report points interior to their volume.
Definition at line 52 of file vtkLagrangeTriangle.h.
Member Typedef Documentation
Definition at line 56 of file vtkLagrangeTriangle.h.
Constructor & Destructor Documentation
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Member Function Documentation
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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.
| vtkLagrangeTriangle* vtkLagrangeTriangle::NewInstance | ( | ) | const |
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Return the topological dimensional of the cell (0,1,2, or 3).
Implements vtkCell.
Definition at line 60 of file vtkLagrangeTriangle.h.
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Some cells require initialization prior to access.
For example, they may have to triangulate themselves or set up internal data structures.
Reimplemented from vtkCell.
Definition at line 61 of file vtkLagrangeTriangle.h.
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Return the number of edges in the cell.
Implements vtkCell.
Definition at line 62 of file vtkLagrangeTriangle.h.
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Return the number of faces in the cell.
Implements vtkCell.
Definition at line 63 of file vtkLagrangeTriangle.h.
Return the edge cell from the edgeId of the cell.
Implements vtkCell.
Return the face cell from the faceId of the cell.
Implements vtkCell.
Definition at line 65 of file vtkLagrangeTriangle.h.
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Reimplemented from vtkCell.
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Definition at line 69 of file vtkLagrangeTriangle.h.
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Definition at line 70 of file vtkLagrangeTriangle.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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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 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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Cut (or clip) the cell based on the input cellScalars and the specified value.
The output of the clip operation will be one or more cells of the same topological dimension as the original cell. The flag insideOut controls what part of the cell is considered inside - normally cell points whose scalar value is greater than "value" are considered inside. If insideOut is on, this is reversed. Also, if the output cell data is non-nullptr, the cell data from the clipped 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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Intersect with a ray.
Return parametric coordinates (both line and cell) and global intersection coordinates, given ray definition p1[3], p2[3] and tolerance tol. The method returns non-zero value if intersection occurs. A parametric distance t between 0 and 1 along the ray representing the intersection point, the point coordinates x[3] in data coordinates and also pcoords[3] in parametric coordinates. subId is the index within the cell if a composed cell like a triangle strip.
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.
| void vtkLagrangeTriangle::JacobianInverse | ( | const double | pcoords[3], |
| double ** | inverse, | ||
| double * | derivs | ||
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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.
Return center of the cell in parametric coordinates.
Note that the parametric center is not always located at (0.5,0.5,0.5). The return value is the subId that the center is in (if a composite cell). If you want the center in x-y-z space, invoke the EvaluateLocation() method.
Reimplemented from vtkCell.
Return the distance of the parametric coordinate provided to the cell.
If inside the cell, a distance of zero is returned. This is used during picking to get the correct cell picked. (The tolerance will occasionally allow cells to be picked who are not really intersected "inside" the cell.)
Reimplemented from vtkCell.
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Definition at line 107 of file vtkLagrangeTriangle.h.
| vtkIdType vtkLagrangeTriangle::ComputeOrder | ( | ) |
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Definition at line 124 of file vtkLagrangeTriangle.h.
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Member Data Documentation
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Definition at line 133 of file vtkLagrangeTriangle.h.
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Definition at line 134 of file vtkLagrangeTriangle.h.
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Definition at line 135 of file vtkLagrangeTriangle.h.
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Definition at line 136 of file vtkLagrangeTriangle.h.
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Definition at line 137 of file vtkLagrangeTriangle.h.
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Definition at line 138 of file vtkLagrangeTriangle.h.
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Definition at line 140 of file vtkLagrangeTriangle.h.
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Definition at line 141 of file vtkLagrangeTriangle.h.
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Definition at line 143 of file vtkLagrangeTriangle.h.
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Definition at line 144 of file vtkLagrangeTriangle.h.
The documentation for this class was generated from the following file:
- /home/demarle/Source/VTK/release/8.2/build/Utilities/Doxygen/dox/Common/DataModel/vtkLagrangeTriangle.h
