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vtkTriangle Class Reference

a cell that represents a triangle More...

#include <vtkTriangle.h>

Inheritance diagram for vtkTriangle:
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Collaboration diagram for vtkTriangle:
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Public Types

typedef vtkCell Superclass
 
- Public Types inherited from vtkCell
typedef vtkObject Superclass
 
- Public Types inherited from vtkObject
typedef vtkObjectBase Superclass
 

Public Member Functions

virtual int IsA (const char *type)
 
vtkTriangleNewInstance () const
 
void PrintSelf (ostream &os, vtkIndent indent)
 
vtkCellGetEdge (int edgeId)
 
double ComputeArea ()
 
intGetEdgeArray (int edgeId)
 
int GetParametricCenter (double pcoords[3])
 
double GetParametricDistance (double pcoords[3])
 
int GetCellType ()
 
int GetCellDimension ()
 
int GetNumberOfEdges ()
 
int GetNumberOfFaces ()
 
vtkCellGetFace (int)
 
int CellBoundary (int subId, double pcoords[3], vtkIdList *pts)
 
void Contour (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
 
int EvaluatePosition (double x[3], double *closestPoint, int &subId, double pcoords[3], double &dist2, double *weights)
 
void EvaluateLocation (int &subId, double pcoords[3], double x[3], double *weights)
 
int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
 
void Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)
 
virtual doubleGetParametricCoords ()
 
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
 
virtual void InterpolateFunctions (double pcoords[3], double sf[3])
 
virtual void InterpolateDerivs (double pcoords[3], double derivs[6])
 
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
 
- Public Member Functions inherited from vtkCell
vtkCellNewInstance () const
 
void Initialize (int npts, vtkIdType *pts, vtkPoints *p)
 
virtual void ShallowCopy (vtkCell *c)
 
virtual void DeepCopy (vtkCell *c)
 
virtual int IsLinear ()
 
virtual int IsExplicitCell ()
 
vtkPointsGetPoints ()
 
vtkIdType GetNumberOfPoints ()
 
vtkIdListGetPointIds ()
 
vtkIdType GetPointId (int ptId)
 
void GetBounds (double bounds[6])
 
doubleGetBounds ()
 
double GetLength2 ()
 
virtual int IsPrimaryCell ()
 
virtual int RequiresInitialization ()
 
virtual void Initialize ()
 
virtual int RequiresExplicitFaceRepresentation ()
 
virtual void SetFaces (vtkIdType *vtkNotUsed(faces))
 
virtual vtkIdTypeGetFaces ()
 
virtual void InterpolateFunctions (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
 
virtual void InterpolateDerivs (double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
 
- Public Member Functions inherited from vtkObject
vtkObjectNewInstance () const
 
virtual void DebugOn ()
 
virtual void DebugOff ()
 
bool GetDebug ()
 
void SetDebug (bool debugFlag)
 
virtual void Modified ()
 
virtual unsigned long GetMTime ()
 
unsigned long AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
 
unsigned long AddObserver (const char *event, vtkCommand *, float priority=0.0f)
 
vtkCommandGetCommand (unsigned long tag)
 
void RemoveObserver (vtkCommand *)
 
void RemoveObservers (unsigned long event, vtkCommand *)
 
void RemoveObservers (const char *event, vtkCommand *)
 
int HasObserver (unsigned long event, vtkCommand *)
 
int HasObserver (const char *event, vtkCommand *)
 
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)
 
template<class U , class T >
unsigned long AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f)
 
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)
 
int InvokeEvent (unsigned long event, void *callData)
 
int InvokeEvent (const char *event, void *callData)
 
int InvokeEvent (unsigned long event)
 
int InvokeEvent (const char *event)
 
- Public Member Functions inherited from vtkObjectBase
const char * GetClassName () const
 
virtual void Delete ()
 
virtual void FastDelete ()
 
void Print (ostream &os)
 
virtual void Register (vtkObjectBase *o)
 
virtual void UnRegister (vtkObjectBase *o)
 
void SetReferenceCount (int)
 
void PrintRevisions (ostream &)
 
virtual void PrintHeader (ostream &os, vtkIndent indent)
 
virtual void PrintTrailer (ostream &os, vtkIndent indent)
 
int GetReferenceCount ()
 

Static Public Member Functions

static vtkTriangleNew ()
 
static int IsTypeOf (const char *type)
 
static vtkTriangleSafeDownCast (vtkObjectBase *o)
 
static void InterpolationFunctions (double pcoords[3], double sf[3])
 
static void InterpolationDerivs (double pcoords[3], double derivs[6])
 
static double TriangleArea (double p1[3], double p2[3], double p3[3])
 
static void ComputeNormal (double v1[3], double v2[3], double v3[3], double n[3])
 
static void TriangleCenter (double p1[3], double p2[3], double p3[3], double center[3])
 
static double Circumcircle (double p1[2], double p2[2], double p3[2], double center[2])
 
static int BarycentricCoords (double x[2], double x1[2], double x2[2], double x3[2], double bcoords[3])
 
static int ProjectTo2D (double x1[3], double x2[3], double x3[3], double v1[2], double v2[2], double v3[2])
 
static void ComputeNormal (vtkPoints *p, int numPts, vtkIdType *pts, double n[3])
 
static void ComputeNormalDirection (double v1[3], double v2[3], double v3[3], double n[3])
 
static int PointInTriangle (double x[3], double x1[3], double x2[3], double x3[3], double tol2)
 
static void ComputeQuadric (double x1[3], double x2[3], double x3[3], double quadric[4][4])
 
static void ComputeQuadric (double x1[3], double x2[3], double x3[3], vtkQuadric *quadric)
 
- Static Public Member Functions inherited from vtkCell
static int IsTypeOf (const char *type)
 
static vtkCellSafeDownCast (vtkObjectBase *o)
 
- Static Public Member Functions inherited from vtkObject
static int IsTypeOf (const char *type)
 
static vtkObjectSafeDownCast (vtkObjectBase *o)
 
static vtkObjectNew ()
 
static void BreakOnError ()
 
static void SetGlobalWarningDisplay (int val)
 
static void GlobalWarningDisplayOn ()
 
static void GlobalWarningDisplayOff ()
 
static int GetGlobalWarningDisplay ()
 
- Static Public Member Functions inherited from vtkObjectBase
static int IsTypeOf (const char *name)
 
static vtkObjectBaseNew ()
 

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 
 vtkTriangle ()
 
 ~vtkTriangle ()
 
- Protected Member Functions inherited from vtkCell
 vtkCell ()
 
 ~vtkCell ()
 
- Protected Member Functions inherited from vtkObject
 vtkObject ()
 
virtual ~vtkObject ()
 
virtual void RegisterInternal (vtkObjectBase *, int check)
 
virtual void UnRegisterInternal (vtkObjectBase *, int check)
 
void InternalGrabFocus (vtkCommand *mouseEvents, vtkCommand *keypressEvents=NULL)
 
void InternalReleaseFocus ()
 
- 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

vtkLineLine
 
- 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
vtkPointsPoints
 
vtkIdListPointIds
 

Detailed Description

a cell that represents a triangle

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

Examples:
vtkTriangle (Examples)
Tests:
vtkTriangle (Tests)

Definition at line 40 of file vtkTriangle.h.

Member Typedef Documentation

Definition at line 44 of file vtkTriangle.h.

Constructor & Destructor Documentation

vtkTriangle::vtkTriangle ( )
protected
vtkTriangle::~vtkTriangle ( )
protected

Member Function Documentation

static vtkTriangle* vtkTriangle::New ( )
static
static int vtkTriangle::IsTypeOf ( const char *  type)
static
virtual int 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.

static vtkTriangle* vtkTriangle::SafeDownCast ( vtkObjectBase o)
static
virtual vtkObjectBase* vtkTriangle::NewInstanceInternal ( ) const
protectedvirtual

Reimplemented from vtkCell.

vtkTriangle* vtkTriangle::NewInstance ( ) const
void vtkTriangle::PrintSelf ( ostream &  os,
vtkIndent  indent 
)
virtual

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.

vtkCell* vtkTriangle::GetEdge ( int  edgeId)
virtual

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

Implements vtkCell.

int vtkTriangle::GetCellType ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 53 of file vtkTriangle.h.

int vtkTriangle::GetCellDimension ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 54 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfEdges ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 55 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfFaces ( )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 56 of file vtkTriangle.h.

vtkCell* vtkTriangle::GetFace ( int  )
inlinevirtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 57 of file vtkTriangle.h.

int vtkTriangle::CellBoundary ( int  subId,
double  pcoords[3],
vtkIdList pts 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::Contour ( double  value,
vtkDataArray cellScalars,
vtkIncrementalPointLocator locator,
vtkCellArray verts,
vtkCellArray lines,
vtkCellArray polys,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkTriangle::EvaluatePosition ( double  x[3],
double closestPoint,
int subId,
double  pcoords[3],
double dist2,
double weights 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::EvaluateLocation ( int subId,
double  pcoords[3],
double  x[3],
double weights 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkTriangle::Triangulate ( int  index,
vtkIdList ptIds,
vtkPoints pts 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::Derivatives ( int  subId,
double  pcoords[3],
double values,
int  dim,
double derivs 
)
virtual

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

virtual double* vtkTriangle::GetParametricCoords ( )
virtual

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell.

double vtkTriangle::ComputeArea ( )

A convenience function to compute the area of a vtkTriangle.

void vtkTriangle::Clip ( double  value,
vtkDataArray cellScalars,
vtkIncrementalPointLocator locator,
vtkCellArray polys,
vtkPointData inPd,
vtkPointData outPd,
vtkCellData inCd,
vtkIdType  cellId,
vtkCellData outCd,
int  insideOut 
)
virtual

Clip this triangle using scalar value provided. Like contouring, except that it cuts the triangle to produce other triangles.

Implements vtkCell.

static void vtkTriangle::InterpolationFunctions ( double  pcoords[3],
double  sf[3] 
)
static
static void vtkTriangle::InterpolationDerivs ( double  pcoords[3],
double  derivs[6] 
)
static
Deprecated:
Replaced by vtkTriangle::InterpolateDerivs as of VTK 5.2
virtual void vtkTriangle::InterpolateFunctions ( double  pcoords[3],
double  sf[3] 
)
inlinevirtual

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 96 of file vtkTriangle.h.

virtual void vtkTriangle::InterpolateDerivs ( double  pcoords[3],
double  derivs[6] 
)
inlinevirtual

Compute the interpolation functions/derivatives (aka shape functions/derivatives)

Definition at line 100 of file vtkTriangle.h.

int* vtkTriangle::GetEdgeArray ( int  edgeId)

Return the ids of the vertices defining edge (edgeId). Ids are related to the cell, not to the dataset.

int vtkTriangle::IntersectWithLine ( double  p1[3],
double  p2[3],
double  tol,
double t,
double  x[3],
double  pcoords[3],
int subId 
)
virtual

Plane intersection plus in/out test on triangle. The in/out test is performed using tol as the tolerance.

Implements vtkCell.

int vtkTriangle::GetParametricCenter ( double  pcoords[3])
inlinevirtual

Return the center of the triangle in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 218 of file vtkTriangle.h.

double vtkTriangle::GetParametricDistance ( double  pcoords[3])
virtual

Return the distance of the parametric coordinate provided to the cell. If inside the cell, a distance of zero is returned.

Reimplemented from vtkCell.

void vtkTriangle::TriangleCenter ( double  p1[3],
double  p2[3],
double  p3[3],
double  center[3] 
)
inlinestatic

Compute the center of the triangle.

Definition at line 256 of file vtkTriangle.h.

double vtkTriangle::TriangleArea ( double  p1[3],
double  p2[3],
double  p3[3] 
)
inlinestatic

Compute the area of a triangle in 3D. See also vtkTriangle::ComputeArea()

Definition at line 265 of file vtkTriangle.h.

static double vtkTriangle::Circumcircle ( double  p1[2],
double  p2[2],
double  p3[2],
double  center[2] 
)
static

Compute the circumcenter (center[3]) and radius squared (method return value) of a triangle defined by the three points x1, x2, and x3. (Note that the coordinates are 2D. 3D points can be used but the z-component will be ignored.)

static int vtkTriangle::BarycentricCoords ( double  x[2],
double  x1[2],
double  x2[2],
double  x3[2],
double  bcoords[3] 
)
static

Given a 2D point x[2], determine the barycentric coordinates of the point. Barycentric coordinates are a natural coordinate system for simplices that express a position as a linear combination of the vertices. For a triangle, there are three barycentric coordinates (because there are three vertices), and the sum of the coordinates must equal 1. If a point x is inside a simplex, then all three coordinates will be strictly positive. If two coordinates are zero (so the third =1), then the point x is on a vertex. If one coordinates are zero, the point x is on an edge. In this method, you must specify the vertex coordinates x1->x3. Returns 0 if triangle is degenerate.

static int vtkTriangle::ProjectTo2D ( double  x1[3],
double  x2[3],
double  x3[3],
double  v1[2],
double  v2[2],
double  v3[2] 
)
static

Project triangle defined in 3D to 2D coordinates. Returns 0 if degenerate triangle; non-zero value otherwise. Input points are x1->x3; output 2D points are v1->v3.

static void vtkTriangle::ComputeNormal ( vtkPoints p,
int  numPts,
vtkIdType pts,
double  n[3] 
)
static

Compute the triangle normal from a points list, and a list of point ids that index into the points list.

void vtkTriangle::ComputeNormal ( double  v1[3],
double  v2[3],
double  v3[3],
double  n[3] 
)
inlinestatic

Compute the triangle normal from three points.

Definition at line 240 of file vtkTriangle.h.

void vtkTriangle::ComputeNormalDirection ( double  v1[3],
double  v2[3],
double  v3[3],
double  n[3] 
)
inlinestatic

Compute the (unnormalized) triangle normal direction from three points.

Definition at line 225 of file vtkTriangle.h.

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

Given a point x, determine whether it is inside (within the tolerance squared, tol2) the triangle defined by the three coordinate values p1, p2, p3. Method is via comparing dot products. (Note: in current implementation the tolerance only works in the neighborhood of the three vertices of the triangle.

static void vtkTriangle::ComputeQuadric ( double  x1[3],
double  x2[3],
double  x3[3],
double  quadric[4][4] 
)
static

Calculate the error quadric for this triangle. Return the quadric as a 4x4 matrix or a vtkQuadric. (from Peter Lindstrom's Siggraph 2000 paper, "Out-of-Core Simplification of Large Polygonal Models")

static void vtkTriangle::ComputeQuadric ( double  x1[3],
double  x2[3],
double  x3[3],
vtkQuadric quadric 
)
static

Calculate the error quadric for this triangle. Return the quadric as a 4x4 matrix or a vtkQuadric. (from Peter Lindstrom's Siggraph 2000 paper, "Out-of-Core Simplification of Large Polygonal Models")

Member Data Documentation

vtkLine* vtkTriangle::Line
protected

Definition at line 210 of file vtkTriangle.h.


The documentation for this class was generated from the following file: