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vtkPolygon Class Reference

a cell that represents an n-sided polygon More...

#include <vtkPolygon.h>

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List of all members.

Public Types

typedef vtkCell Superclass

Public Member Functions

virtual int IsA (const char *type)
vtkPolygonNewInstance () const
void PrintSelf (ostream &os, vtkIndent indent)
double ComputeArea ()
int Triangulate (vtkIdList *outTris)
int NonDegenerateTriangulate (vtkIdList *outTris)
int GetCellType ()
int GetCellDimension ()
int GetNumberOfEdges ()
int GetNumberOfFaces ()
vtkCellGetEdge (int edgeId)
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)
void Clip (double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *tris, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
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 IntersectWithLine (double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)
int Triangulate (int index, vtkIdList *ptIds, vtkPoints *pts)
void Derivatives (int subId, double pcoords[3], double *values, int dim, double *derivs)
int IsPrimaryCell ()
virtual void InterpolateFunctions (double x[3], double *sf)
virtual void InterpolateDerivs (double x[3], double *derivs)
int ParameterizePolygon (double p0[3], double p10[3], double &l10, double p20[3], double &l20, double n[3])
virtual bool GetUseMVCInterpolation ()
virtual void SetUseMVCInterpolation (bool)

Static Public Member Functions

static vtkPolygonNew ()
static int IsTypeOf (const char *type)
static vtkPolygonSafeDownCast (vtkObjectBase *o)
static void ComputeNormal (int numPts, double *pts, double n[3])
static void ComputeNormal (vtkPoints *p, int numPts, vtkIdType *pts, double n[3])
static void ComputeNormal (vtkPoints *p, double n[3])
static void ComputeNormal (vtkIdTypeArray *ids, vtkPoints *pts, double n[3])
static void ComputeCentroid (vtkIdTypeArray *ids, vtkPoints *pts, double centroid[3])
static double ComputeArea (vtkPoints *p, vtkIdType numPts, vtkIdType *pts, double normal[3])
static int PointInPolygon (double x[3], int numPts, double *pts, double bounds[6], double n[3])
static double DistanceToPolygon (double x[3], int numPts, double *pts, double bounds[6], double closest[3])
static int IntersectPolygonWithPolygon (int npts, double *pts, double bounds[6], int npts2, double *pts2, double bounds2[3], double tol, double x[3])
static int IntersectConvex2DCells (vtkCell *cell1, vtkCell *cell2, double tol, double p0[3], double p1[3])

Protected Member Functions

virtual vtkObjectBaseNewInstanceInternal () const
 vtkPolygon ()
 ~vtkPolygon ()
void InterpolateFunctionsUsingMVC (double x[3], double *weights)
int EarCutTriangulation ()

Protected Attributes

double Tolerance
int SuccessfulTriangulation
double Normal [3]
vtkIdListTris
vtkTriangleTriangle
vtkQuadQuad
vtkDoubleArrayTriScalars
vtkLineLine
bool UseMVCInterpolation

Detailed Description

a cell that represents an n-sided polygon

vtkPolygon is a concrete implementation of vtkCell to represent a 2D n-sided polygon. The polygons cannot have any internal holes, and cannot self-intersect. Define the polygon with n-points ordered in the counter- clockwise direction; do not repeat the last point.

Examples:
vtkPolygon (Examples)
Tests:
vtkPolygon (Tests)

Definition at line 44 of file vtkPolygon.h.


Member Typedef Documentation

Reimplemented from vtkCell.

Definition at line 48 of file vtkPolygon.h.


Constructor & Destructor Documentation

vtkPolygon::vtkPolygon ( ) [protected]
vtkPolygon::~vtkPolygon ( ) [protected]

Member Function Documentation

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

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

Reimplemented from vtkObject.

static int vtkPolygon::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 vtkPolygon::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.

Reimplemented from vtkCell.

virtual vtkObjectBase* vtkPolygon::NewInstanceInternal ( ) const [protected, virtual]

Reimplemented from vtkCell.

Reimplemented from vtkCell.

void vtkPolygon::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.

int vtkPolygon::GetCellType ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 53 of file vtkPolygon.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 54 of file vtkPolygon.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 55 of file vtkPolygon.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 56 of file vtkPolygon.h.

vtkCell* vtkPolygon::GetEdge ( int  edgeId) [virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

Definition at line 58 of file vtkPolygon.h.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

void vtkPolygon::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.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkPolygon::Triangulate ( int  index,
vtkIdList ptIds,
vtkPoints pts 
) [virtual]

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

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

See the vtkCell API for descriptions of these methods.

Implements vtkCell.

int vtkPolygon::IsPrimaryCell ( ) [inline, virtual]

See the vtkCell API for descriptions of these methods.

Reimplemented from vtkCell.

Definition at line 80 of file vtkPolygon.h.

Compute the area of a polygon. This is a convenience function which simply calls static double ComputeArea(vtkPoints *p, vtkIdType numPts, vtkIdType *pts, double normal[3]); with the appropriate parameters from the instantiated vtkPolygon.

virtual void vtkPolygon::InterpolateFunctions ( double  x[3],
double sf 
) [virtual]

Compute the interpolation functions/derivatives. (aka shape functions/derivatives) Two interpolation algorithms are available: 1/r^2 and Mean Value Coordinate. The former is used by default. To use the second algorithm, set UseMVCInterpolation to be true. The function assumes the input point lies on the polygon plane without checking that.

virtual void vtkPolygon::InterpolateDerivs ( double  x[3],
double derivs 
) [virtual]

Compute the interpolation functions/derivatives. (aka shape functions/derivatives) Two interpolation algorithms are available: 1/r^2 and Mean Value Coordinate. The former is used by default. To use the second algorithm, set UseMVCInterpolation to be true. The function assumes the input point lies on the polygon plane without checking that.

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

Polygon specific methods.

static void vtkPolygon::ComputeNormal ( vtkPoints p,
double  n[3] 
) [static]

Polygon specific methods.

static void vtkPolygon::ComputeNormal ( vtkIdTypeArray ids,
vtkPoints pts,
double  n[3] 
) [static]

Polygon specific methods.

static void vtkPolygon::ComputeNormal ( int  numPts,
double pts,
double  n[3] 
) [static]

Compute the polygon normal from an array of points. This version assumes that the polygon is convex, and looks for the first valid normal.

static void vtkPolygon::ComputeCentroid ( vtkIdTypeArray ids,
vtkPoints pts,
double  centroid[3] 
) [static]

Compute the centroid of a set of points.

static double vtkPolygon::ComputeArea ( vtkPoints p,
vtkIdType  numPts,
vtkIdType pts,
double  normal[3] 
) [static]

Compute the area of a polygon in 3D. The area is returned, as well as the normal (a side effect of using this method). If you desire to compute the area of a triangle, use vtkTriangleArea which is faster. If you already have a vtkPolygon instantiated, a convenience function, ComputeArea() is provided.

int vtkPolygon::ParameterizePolygon ( double  p0[3],
double  p10[3],
double l10,
double  p20[3],
double l20,
double  n[3] 
)

Create a local s-t coordinate system for a polygon. The point p0 is the origin of the local system, p10 is s-axis vector, and p20 is the t-axis vector. (These are expressed in the modeling coordinate system and are vectors of dimension [3].) The values l20 and l20 are the lengths of the vectors p10 and p20, and n is the polygon normal.

static int vtkPolygon::PointInPolygon ( double  x[3],
int  numPts,
double pts,
double  bounds[6],
double  n[3] 
) [static]

Determine whether point is inside polygon. Function uses ray-casting to determine if point is inside polygon. Works for arbitrary polygon shape (e.g., non-convex). Returns 0 if point is not in polygon; 1 if it is. Can also return -1 to indicate degenerate polygon.

Triangulate this polygon. The user must provide the vtkIdList outTris. On output, the outTris list contains the ids of the points defining the triangulation. The ids are ordered into groups of three: each three-group defines one triangle.

Same as Triangulate(vtkIdList *outTris) but with a first pass to split the polygon into non-degenerate polygons.

static double vtkPolygon::DistanceToPolygon ( double  x[3],
int  numPts,
double pts,
double  bounds[6],
double  closest[3] 
) [static]

Compute the distance of a point to a polygon. The closest point on the polygon is also returned. The bounds should be provided to accelerate the computation.

static int vtkPolygon::IntersectPolygonWithPolygon ( int  npts,
double pts,
double  bounds[6],
int  npts2,
double pts2,
double  bounds2[3],
double  tol,
double  x[3] 
) [static]

Method intersects two polygons. You must supply the number of points and point coordinates (npts, *pts) and the bounding box (bounds) of the two polygons. Also supply a tolerance squared for controlling error. The method returns 1 if there is an intersection, and 0 if not. A single point of intersection x[3] is also returned if there is an intersection.

static int vtkPolygon::IntersectConvex2DCells ( vtkCell cell1,
vtkCell cell2,
double  tol,
double  p0[3],
double  p1[3] 
) [static]

Intersect two convex 2D polygons to produce a line segment as output. The return status of the methods indicated no intersection (returns 0); a single point of intersection (returns 1); or a line segment (i.e., two points of intersection, returns 2). The points of intersection are returned in the arrays p0 and p1. If less than two points of intersection are generated then p1 and/or p0 may be indeterminiate. Finally, if the two convex polygons are parallel, then "0" is returned (i.e., no intersection) even if the triangles lie on one another.

virtual bool vtkPolygon::GetUseMVCInterpolation ( ) [virtual]

Set/Get the flag indicating whether to use Mean Value Coordinate for the interpolation. If true, InterpolateFunctions() uses the Mean Value Coordinate to compute weights. Otherwise, the conventional 1/r^2 method is used. The UseMVCInterpolation parameter is set to false by default.

virtual void vtkPolygon::SetUseMVCInterpolation ( bool  ) [virtual]

Set/Get the flag indicating whether to use Mean Value Coordinate for the interpolation. If true, InterpolateFunctions() uses the Mean Value Coordinate to compute weights. Otherwise, the conventional 1/r^2 method is used. The UseMVCInterpolation parameter is set to false by default.

void vtkPolygon::InterpolateFunctionsUsingMVC ( double  x[3],
double weights 
) [protected]

A fast triangulation method. Uses recursive divide and conquer based on plane splitting to reduce loop into triangles. The cell (e.g., triangle) is presumed properly initialized (i.e., Points and PointIds).


Member Data Documentation

Definition at line 211 of file vtkPolygon.h.

Definition at line 212 of file vtkPolygon.h.

double vtkPolygon::Normal[3] [protected]

Definition at line 213 of file vtkPolygon.h.

Definition at line 214 of file vtkPolygon.h.

Definition at line 215 of file vtkPolygon.h.

vtkQuad* vtkPolygon::Quad [protected]

Definition at line 216 of file vtkPolygon.h.

Definition at line 217 of file vtkPolygon.h.

vtkLine* vtkPolygon::Line [protected]

Definition at line 218 of file vtkPolygon.h.

Definition at line 222 of file vtkPolygon.h.


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