vtkTriangle Class Reference

#include <vtkTriangle.h>

Inheritance diagram for vtkTriangle:

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Collaboration diagram for vtkTriangle:

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List of all members.


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 39 of file vtkTriangle.h.

static void InterpolationFunctions (double pcoords[3], double sf[3])
static void InterpolationDerivs (double pcoords[3], double derivs[6])
virtual void InterpolateFunctions (double pcoords[3], double sf[3])
virtual void InterpolateDerivs (double pcoords[3], double derivs[6])
int * GetEdgeArray (int edgeId)

Public Types

typedef vtkCell Superclass

Public Member Functions

virtual const char * GetClassName ()
virtual int IsA (const char *type)
void PrintSelf (ostream &os, vtkIndent indent)
vtkCellGetEdge (int edgeId)
double ComputeArea ()
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 double * GetParametricCoords ()
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)

Static Public Member Functions

static vtkTriangleNew ()
static int IsTypeOf (const char *type)
static vtkTriangleSafeDownCast (vtkObject *o)
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)

Protected Member Functions

 vtkTriangle ()
 ~vtkTriangle ()

Protected Attributes

vtkLineLine

Member Typedef Documentation

Reimplemented from vtkCell.

Definition at line 43 of file vtkTriangle.h.


Constructor & Destructor Documentation

vtkTriangle::vtkTriangle (  )  [protected]

vtkTriangle::~vtkTriangle (  )  [protected]


Member Function Documentation

static vtkTriangle* vtkTriangle::New (  )  [static]

Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

Reimplemented from vtkObject.

virtual const char* vtkTriangle::GetClassName (  )  [virtual]

Reimplemented from vtkCell.

static int vtkTriangle::IsTypeOf ( const char *  name  )  [static]

Return 1 if this class type 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.

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 ( vtkObject o  )  [static]

Reimplemented from vtkCell.

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 (  )  [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 52 of file vtkTriangle.h.

int vtkTriangle::GetCellDimension (  )  [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 53 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfEdges (  )  [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 54 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfFaces (  )  [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 55 of file vtkTriangle.h.

vtkCell* vtkTriangle::GetFace ( int   )  [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 56 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]

virtual void vtkTriangle::InterpolateFunctions ( double  pcoords[3],
double  sf[3] 
) [inline, virtual]

Deprecated:
Replaced by vtkTriangle::InterpolateFunctions as of VTK 5.2

Reimplemented from vtkCell.

Definition at line 97 of file vtkTriangle.h.

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

Deprecated:
Replaced by vtkTriangle::InterpolateFunctions as of VTK 5.2

Definition at line 101 of file vtkTriangle.h.

int* vtkTriangle::GetEdgeArray ( int  edgeId  ) 

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]  )  [inline, virtual]

Return the center of the triangle in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 220 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] 
) [inline, static]

Compute the center of the triangle.

Definition at line 258 of file vtkTriangle.h.

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

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

Definition at line 267 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] 
) [inline, static]

Compute the triangle normal from three points.

Definition at line 242 of file vtkTriangle.h.

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

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

Definition at line 227 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 212 of file vtkTriangle.h.


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

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