VTK
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a cell that represents a triangle More...
#include <vtkTriangle.h>
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) |
double | ComputeArea () |
int * | GetEdgeArray (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, 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) |
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) |
Static Public Member Functions | |
static vtkTriangle * | New () |
static int | IsTypeOf (const char *type) |
static vtkTriangle * | SafeDownCast (vtkObject *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) |
Protected Member Functions | |
vtkTriangle () | |
~vtkTriangle () | |
Protected Attributes | |
vtkLine * | Line |
a cell that represents a triangle
vtkTriangle is a concrete implementation of vtkCell to represent a triangle located in 3-space.
Definition at line 39 of file vtkTriangle.h.
typedef vtkCell vtkTriangle::Superclass |
Reimplemented from vtkCell.
Definition at line 43 of file vtkTriangle.h.
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 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] |
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.
See the vtkCell API for descriptions of these methods.
Implements vtkCell.
Definition at line 56 of file vtkTriangle.h.
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] |
virtual double* vtkTriangle::GetParametricCoords | ( | ) | [virtual] |
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.
virtual void vtkTriangle::InterpolateFunctions | ( | double | pcoords[3], |
double | sf[3] | ||
) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Reimplemented from vtkCell.
Definition at line 95 of file vtkTriangle.h.
virtual void vtkTriangle::InterpolateDerivs | ( | double | pcoords[3], |
double | derivs[6] | ||
) | [inline, virtual] |
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition at line 99 of file vtkTriangle.h.
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.
Return the center of the triangle in parametric coordinates.
Reimplemented from vtkCell.
Definition at line 217 of file vtkTriangle.h.
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 255 of file vtkTriangle.h.
Compute the area of a triangle in 3D. See also vtkTriangle::ComputeArea()
Definition at line 264 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 239 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 224 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 209 of file vtkTriangle.h.