Main Page | Class Hierarchy | Alphabetical List | Class List | Directories | File List | Class Members | File Members | Related Pages

vtkTriangle Class Reference

#include <vtkTriangle.h>

Inheritance diagram for vtkTriangle:

vtkCell vtkObject vtkObjectBase List of all members.

Detailed Description

a cell that represents a triangle

Date
2003/01/06 20:36:14
Revision
1.79

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

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

Definition at line 42 of file vtkTriangle.h.

Public Types

typedef vtkCell Superclass

Public Member Functions

virtual const char * GetClassName ()
virtual int IsA (const char *type)
vtkCellGetEdge (int edgeId)
int GetParametricCenter (float pcoords[3])
int GetCellType ()
int GetCellDimension ()
int GetNumberOfEdges ()
int GetNumberOfFaces ()
vtkCellGetFace (int)
int CellBoundary (int subId, float pcoords[3], vtkIdList *pts)
void Contour (float value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)
int EvaluatePosition (float x[3], float *closestPoint, int &subId, float pcoords[3], float &dist2, float *weights)
void EvaluateLocation (int &subId, float pcoords[3], float x[3], float *weights)
int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
void Derivatives (int subId, float pcoords[3], float *values, int dim, float *derivs)
void Clip (float value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
int IntersectWithLine (float p1[3], float p2[3], float tol, float &t, float x[3], float pcoords[3], int &subId)

Static Public Member Functions

static vtkTriangleNew ()
static int IsTypeOf (const char *type)
static vtkTriangleSafeDownCast (vtkObject *o)
static float TriangleArea (float p1[3], float p2[3], float p3[3])
static void ComputeNormal (float v1[3], float v2[3], float v3[3], float n[3])
static void TriangleCenter (float p1[3], float p2[3], float p3[3], float 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, float n[3])
static void ComputeNormalDirection (float v1[3], float v2[3], float v3[3], float n[3])
static void ComputeNormal (double v1[3], double v2[3], double v3[3], double n[3])
static void ComputeNormalDirection (double v1[3], double v2[3], double v3[3], double n[3])
static int PointInTriangle (float x[3], float x1[3], float x2[3], float x3[3], float tol2)
static void ComputeQuadric (float x1[3], float x2[3], float x3[3], float quadric[4][4])
static void ComputeQuadric (float x1[3], float x2[3], float x3[3], vtkQuadric *quadric)

Protected Member Functions

 vtkTriangle ()
 ~vtkTriangle ()

Protected Attributes

vtkLineLine


Member Typedef Documentation

typedef vtkCell vtkTriangle::Superclass
 

Reimplemented from vtkCell.

Definition at line 46 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 *  type  )  [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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkCell.

virtual int vtkTriangle::IsA const char *  type  )  [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 vtkTypeRevisionMacro found in vtkSetGet.h.

Reimplemented from vtkCell.

static vtkTriangle* vtkTriangle::SafeDownCast vtkObject o  )  [static]
 

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 57 of file vtkTriangle.h.

References VTK_TRIANGLE.

int vtkTriangle::GetCellDimension  )  [inline, virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 58 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfEdges  )  [inline, virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 59 of file vtkTriangle.h.

int vtkTriangle::GetNumberOfFaces  )  [inline, virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 60 of file vtkTriangle.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 61 of file vtkTriangle.h.

int vtkTriangle::CellBoundary int  subId,
float  pcoords[3],
vtkIdList pts
[virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::Contour float  value,
vtkDataArray cellScalars,
vtkPointLocator 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 float  x[3],
float *  closestPoint,
int &  subId,
float  pcoords[3],
float &  dist2,
float *  weights
[virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::EvaluateLocation int &  subId,
float  pcoords[3],
float  x[3],
float *  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,
float  pcoords[3],
float *  values,
int  dim,
float *  derivs
[virtual]
 

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkTriangle::Clip float  value,
vtkDataArray cellScalars,
vtkPointLocator 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.

int vtkTriangle::IntersectWithLine float  p1[3],
float  p2[3],
float  tol,
float &  t,
float  x[3],
float  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 float  pcoords[3]  )  [inline, virtual]
 

Return the center of the triangle in parametric coordinates.

Reimplemented from vtkCell.

Definition at line 204 of file vtkTriangle.h.

void vtkTriangle::TriangleCenter float  p1[3],
float  p2[3],
float  p3[3],
float  center[3]
[inline, static]
 

Compute the center of the triangle.

Definition at line 268 of file vtkTriangle.h.

float vtkTriangle::TriangleArea float  p1[3],
float  p2[3],
float  p3[3]
[inline, static]
 

Compute the area of a triangle in 3D.

Definition at line 276 of file vtkTriangle.h.

References vtkMath::Distance2BetweenPoints().

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

Compute the circumcenter (center[3]) and radius (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,
float  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 float  v1[3],
float  v2[3],
float  v3[3],
float  n[3]
[inline, static]
 

Compute the triangle normal from three points.

Definition at line 224 of file vtkTriangle.h.

References ComputeNormalDirection().

void vtkTriangle::ComputeNormalDirection float  v1[3],
float  v2[3],
float  v3[3],
float  n[3]
[inline, static]
 

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

Definition at line 210 of file vtkTriangle.h.

Referenced by ComputeNormal().

void vtkTriangle::ComputeNormal double  v1[3],
double  v2[3],
double  v3[3],
double  n[3]
[inline, static]
 

Compute the triangle normal from three points (double-precision version).

Definition at line 253 of file vtkTriangle.h.

References ComputeNormalDirection().

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 (double precision version).

Definition at line 239 of file vtkTriangle.h.

static int vtkTriangle::PointInTriangle float  x[3],
float  x1[3],
float  x2[3],
float  x3[3],
float  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 float  x1[3],
float  x2[3],
float  x3[3],
float  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 float  x1[3],
float  x2[3],
float  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 197 of file vtkTriangle.h.


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