a cell that represents a triangle More...

#include <vtkTriangle.h>

Inheritance diagram for vtkTriangle:

Collaboration diagram for vtkTriangle:

Public Types
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.

vtkTriangle *	NewInstance () const

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

vtkCell *	GetEdge (int edgeId) override
	Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.

double	ComputeArea ()
	A convenience function to compute the area of a vtkTriangle.

void	Clip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
	Clip this triangle using scalar value provided.

const vtkIdType *	GetEdgeArray (vtkIdType edgeId)
	Return the ids of the vertices defining edge (`edgeId`).

int	IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
	Given a line defined by two points p1 and p2, determine whether it intersects the triangle.

int	GetParametricCenter (double pcoords[3]) override
	Return the center of the triangle in parametric coordinates.

double	GetParametricDistance (const double pcoords[3]) override
	Return the distance of the parametric coordinate provided to the cell.


int	GetCellType () override
	See the vtkCell API for descriptions of these methods.

int	GetCellDimension () override
	See the vtkCell API for descriptions of these methods.

int	GetNumberOfEdges () override
	See the vtkCell API for descriptions of these methods.

int	GetNumberOfFaces () override
	See the vtkCell API for descriptions of these methods.

vtkCell *	GetFace (int) override
	See the vtkCell API for descriptions of these methods.

int	CellBoundary (int subId, const double pcoords[3], vtkIdList *pts) override
	See the vtkCell API for descriptions of these methods.

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
	See the vtkCell API for descriptions of these methods.

int	EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
	See the vtkCell API for descriptions of these methods.

void	EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights) override
	See the vtkCell API for descriptions of these methods.

int	Triangulate (int index, vtkIdList ptIds, vtkPoints pts) override
	See the vtkCell API for descriptions of these methods.

void	Derivatives (int subId, const double pcoords[3], const double values, int dim, double derivs) override
	See the vtkCell API for descriptions of these methods.

double *	GetParametricCoords () override
	See the vtkCell API for descriptions of these methods.


void	InterpolateFunctions (const double pcoords[3], double sf[3]) override
	Compute the interpolation functions/derivatives (aka shape functions/derivatives)

void	InterpolateDerivs (const double pcoords[3], double derivs[6]) override
	Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Public Member Functions inherited from vtkCell
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.

Public Member Functions inherited from vtkObject
	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.

Public Member Functions inherited from vtkObjectBase
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.

Static Public Member Functions
static vtkTriangle *	New ()

static vtkTypeBool	IsTypeOf (const char *type)

static vtkTriangle *	SafeDownCast (vtkObjectBase *o)

static void	InterpolationFunctions (const double pcoords[3], double sf[3])

static void	InterpolationDerivs (const double pcoords[3], double derivs[6])

static void	TriangleCenter (const double p1[3], const double p2[3], const double p3[3], double center[3])
	Compute the center of the triangle.

static double	TriangleArea (const double p1[3], const double p2[3], const double p3[3])
	Compute the area of a triangle in 3D.

static double	Circumcircle (const double p1[2], const double p2[2], const double p3[2], double center[2])
	Compute the circumcenter (center[3]) and radius squared (method return value) of a triangle defined by the three points x1, x2, and x3.

static int	BarycentricCoords (const double x[2], const double x1[2], const double x2[2], const double x3[2], double bcoords[3])
	Given a 2D point x[2], determine the barycentric coordinates of the point.

static int	ProjectTo2D (const double x1[3], const double x2[3], const double x3[3], double v1[2], double v2[2], double v3[2])
	Project triangle defined in 3D to 2D coordinates.

static void	ComputeNormal (vtkPoints p, int numPts, const vtkIdType pts, double n[3])
	Compute the triangle normal from a points list, and a list of point ids that index into the points list.

static void	ComputeNormal (const double v1[3], const double v2[3], const double v3[3], double n[3])
	Compute the triangle normal from three points.

static void	ComputeNormalDirection (const double v1[3], const double v2[3], const double v3[3], double n[3])
	Compute the (unnormalized) triangle normal direction from three points.

static int	TrianglesIntersect (const double p1[3], const double q1[3], const double r1[3], const double p2[3], const double q2[3], const double r2[3])

static int	PointInTriangle (const double x[3], const double x1[3], const double x2[3], const double x3[3], const double tol2)

static bool	ComputeCentroid (vtkPoints points, const vtkIdType pointIds, double centroid[3])
	Get the centroid of the triangle.


static void	ComputeQuadric (const double x1[3], const double x2[3], const double x3[3], double quadric[4][4])
	Calculate the error quadric for this triangle.

static void	ComputeQuadric (const double x1[3], const double x2[3], const double x3[3], vtkQuadric *quadric)
	Calculate the error quadric for this triangle.

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.

static void	BreakOnError ()
	This method is called when vtkErrorMacro executes.

static void	SetGlobalWarningDisplay (int val)
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOn ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOff ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static int	GetGlobalWarningDisplay ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

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.

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).

static vtkObjectBase *	New ()
	Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

static void	SetMemkindDirectory (const char *directoryname)
	The name of a directory, ideally mounted -o dax, to memory map an extended memory space within.

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.

Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkTriangle ()

	~vtkTriangle () override

Protected Member Functions inherited from vtkCell
virtual vtkObjectBase *	NewInstanceInternal () const

	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.

void	InternalReleaseFocus ()
	These methods allow a command to exclusively grab all events.

Protected Member Functions inherited from vtkObjectBase
	vtkObjectBase ()

virtual	~vtkObjectBase ()

virtual void	RegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	UnRegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	ReportReferences (vtkGarbageCollector *)

	vtkObjectBase (const vtkObjectBase &)

void	operator= (const vtkObjectBase &)

Protected Attributes
vtkLine *	Line

Protected Attributes inherited from vtkCell
double	Bounds [6]

Protected Attributes inherited from vtkObject
bool	Debug

vtkTimeStamp	MTime

vtkSubjectHelper *	SubjectHelper

Protected Attributes inherited from vtkObjectBase
std::atomic< int32_t >	ReferenceCount

vtkWeakPointerBase **	WeakPointers

Additional Inherited Members
Public Attributes inherited from vtkCell
vtkPoints *	Points

vtkIdList *	PointIds

Static Protected Member Functions inherited from vtkObjectBase
static vtkMallocingFunction	GetCurrentMallocFunction ()

static vtkReallocingFunction	GetCurrentReallocFunction ()

static vtkFreeingFunction	GetCurrentFreeFunction ()

static vtkFreeingFunction	GetAlternateFreeFunction ()

Detailed Description

a cell that represents a triangle

vtkTriangle is a concrete implementation of vtkCell to represent a triangle located in 3-space.

Online Examples:

InterpolateMeshOnGrid

Definition at line 144 of file vtkTriangle.h.

Member Typedef Documentation

◆ Superclass

typedef vtkCell vtkTriangle::Superclass

Definition at line 148 of file vtkTriangle.h.

Constructor & Destructor Documentation

◆ vtkTriangle()

vtkTriangle::vtkTriangle ( )

protected

◆ ~vtkTriangle()

vtkTriangle::~vtkTriangle ( )

overrideprotected

Member Function Documentation

◆ New()

static vtkTriangle * vtkTriangle::New ( )

static

◆ IsTypeOf()

static vtkTypeBool vtkTriangle::IsTypeOf ( const char * type )

static

◆ IsA()

virtual vtkTypeBool vtkTriangle::IsA ( const char * name )

virtual

Return 1 if this class is the same type of (or a subclass of) the named class.

Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkCell.

◆ SafeDownCast()

static vtkTriangle * vtkTriangle::SafeDownCast ( vtkObjectBase * o )

static

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkTriangle::NewInstanceInternal ( ) const

protectedvirtual

Reimplemented from vtkCell.

◆ NewInstance()

vtkTriangle * vtkTriangle::NewInstance ( ) const

◆ PrintSelf()

void vtkTriangle::PrintSelf	(	ostream &	os,
		vtkIndent	indent
	)

overridevirtual

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 vtkCell.

◆ GetEdge()

vtkCell * vtkTriangle::GetEdge ( int edgeId )

overridevirtual

Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.

Implements vtkCell.