#include <vtkTriangle.h>
vtkTriangle is a concrete implementation of vtkCell to represent a triangle located in 3-space.
Definition at line 38 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) |
vtkCell * | GetEdge (int edgeId) |
int | GetParametricCenter (double pcoords[3]) |
double | GetParametricDistance (double pcoords[3]) |
int | GetCellType () |
int | GetCellDimension () |
int | GetNumberOfEdges () |
int | GetNumberOfFaces () |
vtkCell * | GetFace (int) |
int | CellBoundary (int subId, double pcoords[3], vtkIdList *pts) |
void | Contour (double value, vtkDataArray *cellScalars, vtkPointLocator *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, vtkPointLocator *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 vtkTriangle * | New () |
static int | IsTypeOf (const char *type) |
static vtkTriangle * | SafeDownCast (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 | |
vtkLine * | Line |
typedef vtkCell vtkTriangle::Superclass |
vtkTriangle::vtkTriangle | ( | ) | [protected] |
vtkTriangle::~vtkTriangle | ( | ) | [protected] |
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 vtkTypeRevisionMacro 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 vtkTypeRevisionMacro 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] |
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 51 of file vtkTriangle.h.
int vtkTriangle::GetCellDimension | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 52 of file vtkTriangle.h.
int vtkTriangle::GetNumberOfEdges | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 53 of file vtkTriangle.h.
int vtkTriangle::GetNumberOfFaces | ( | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 54 of file vtkTriangle.h.
vtkCell* vtkTriangle::GetFace | ( | int | ) | [inline, virtual] |
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 55 of file vtkTriangle.h.
int vtkTriangle::CellBoundary | ( | int | subId, | |
double | pcoords[3], | |||
vtkIdList * | pts | |||
) | [virtual] |
void vtkTriangle::Contour | ( | double | value, | |
vtkDataArray * | cellScalars, | |||
vtkPointLocator * | locator, | |||
vtkCellArray * | verts, | |||
vtkCellArray * | lines, | |||
vtkCellArray * | polys, | |||
vtkPointData * | inPd, | |||
vtkPointData * | outPd, | |||
vtkCellData * | inCd, | |||
vtkIdType | cellId, | |||
vtkCellData * | outCd | |||
) | [virtual] |
int vtkTriangle::EvaluatePosition | ( | double | x[3], | |
double * | closestPoint, | |||
int & | subId, | |||
double | pcoords[3], | |||
double & | dist2, | |||
double * | weights | |||
) | [virtual] |
void vtkTriangle::EvaluateLocation | ( | int & | subId, | |
double | pcoords[3], | |||
double | x[3], | |||
double * | weights | |||
) | [virtual] |
void vtkTriangle::Derivatives | ( | int | subId, | |
double | pcoords[3], | |||
double * | values, | |||
int | dim, | |||
double * | derivs | |||
) | [virtual] |
virtual double* vtkTriangle::GetParametricCoords | ( | ) | [virtual] |
void vtkTriangle::Clip | ( | double | 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.
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] |
Reimplemented from vtkCell.
Definition at line 93 of file vtkTriangle.h.
virtual void vtkTriangle::InterpolateDerivs | ( | double | pcoords[3], | |
double | derivs[6] | |||
) | [inline, virtual] |
Definition at line 97 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 215 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 253 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.
Definition at line 262 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 237 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 222 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")
vtkLine* vtkTriangle::Line [protected] |
Definition at line 207 of file vtkTriangle.h.