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# vtkQuadraticEdge Class Reference

`#include <vtkQuadraticEdge.h>`

Inheritance diagram for vtkQuadraticEdge:

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Collaboration diagram for vtkQuadraticEdge:

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List of all members.

## Detailed Description

cell represents a parabolic, isoparametric edge

Date:
  2002/11/12 18:55:41

Revision:
  1.11

vtkQuadraticEdge is a concrete implementation of vtkNonLinearCell to represent a one-dimensional, 3-nodes, isoparametric parabolic line. The interpolation is the standard finite element, quadratic isoparametric shape function. The cell includes a mid-edge node. The ordering of the three points defining the cell is point ids (0,1,2) where id #2 is the midedge node.

See also:
  vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra vtQuadraticQuad vtkQuadraticHexahedron

Created by:
  - Schroeder, Will

CVS contributions (if > 5%):
  - Schroeder, Will (89%)
  - Cedilnik, Andy (5%)

CVS logs (CVSweb):
  - .`cxx` (`/Common/vtkQuadraticEdge.cxx)`
  - .`h` (`/Common/vtkQuadraticEdge.h)`

Tests:
  vtkQuadraticEdge (Tests)

Definition at line 56 of file vtkQuadraticEdge.h.

## Public Types

typedef vtkNonLinearCell | Superclass

## Public Methods

virtual const char * | GetClassName ()
virtual int | IsA (const char *type)
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)
int | GetCellType ()
int | GetCellDimension ()
int | GetNumberOfEdges ()
int | GetNumberOfFaces ()
vtkCell * | GetEdge (int)
vtkCell * | GetFace (int)
void | Clip (float value, vtkDataArray *cellScalars, vtkPointLocator *locator, vtkCellArray *lines, 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 Methods

vtkQuadraticEdge * | New ()
int | IsTypeOf (const char *type)
vtkQuadraticEdge * | SafeDownCast (vtkObject *o)
void | InterpolationFunctions (float pcoords[3], float weights[3])
void | InterpolationDerivs (float pcoords[3], float derivs[3])

## Protected Methods

| vtkQuadraticEdge ()
| ~vtkQuadraticEdge ()

## Protected Attributes

vtkLine * | Line

## Member Typedef Documentation

typedef vtkNonLinearCell vtkQuadraticEdge::Superclass

| Reimplemented from vtkNonLinearCell. Definition at line 60 of file vtkQuadraticEdge.h.

## Constructor & Destructor Documentation

vtkQuadraticEdge::vtkQuadraticEdge | ( |  | ) | `[protected]`

vtkQuadraticEdge::~vtkQuadraticEdge | ( |  | ) | `[protected]`

## Member Function Documentation

vtkQuadraticEdge* vtkQuadraticEdge::New | ( |  | ) | `[static]`

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

virtual const char* vtkQuadraticEdge::GetClassName | ( |  | ) | `[virtual]`

| Reimplemented from vtkNonLinearCell.

int vtkQuadraticEdge::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 vtkNonLinearCell.

virtual int vtkQuadraticEdge::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 vtkNonLinearCell.

vtkQuadraticEdge* vtkQuadraticEdge::SafeDownCast | ( | vtkObject * | o | ) | `[static]`

| Reimplemented from vtkNonLinearCell.

int vtkQuadraticEdge::GetCellType | ( |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 65 of file vtkQuadraticEdge.h. References VTK_QUADRATIC_EDGE.

int vtkQuadraticEdge::GetCellDimension | ( |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 66 of file vtkQuadraticEdge.h.

int vtkQuadraticEdge::GetNumberOfEdges | ( |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 67 of file vtkQuadraticEdge.h.

int vtkQuadraticEdge::GetNumberOfFaces | ( |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 68 of file vtkQuadraticEdge.h.

vtkCell* vtkQuadraticEdge::GetEdge | ( | int |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 69 of file vtkQuadraticEdge.h.

vtkCell* vtkQuadraticEdge::GetFace | ( | int |  | ) | `[inline, virtual]`

| Implement the vtkCell API. See the vtkCell API for descriptions of these methods. Implements vtkCell. Definition at line 70 of file vtkQuadraticEdge.h.

int vtkQuadraticEdge::CellBoundary | ( | int | subId,
|  | float | pcoords[3],
|  | vtkIdList * | pts
| ) | `[virtual]`

| Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell. The cell boundary is defined by a list of points (pts) that specify a face (3D cell), edge (2D cell), or vertex (1D cell). If the return value of the method is != 0, then the point is inside the cell. Implements vtkCell.

void vtkQuadraticEdge::Contour | ( | float | value,
|  | vtkDataArray * | cellScalars,
|  | vtkPointLocator * | locator,
|  | vtkCellArray * | verts,
|  | vtkCellArray * | lines,
|  | vtkCellArray * | polys,
|  | vtkPointData * | inPd,
|  | vtkPointData * | outPd,
|  | vtkCellData * | inCd,
|  | vtkIdType | cellId,
|  | vtkCellData * | outCd
| ) | `[virtual]`

Generate contouring primitives. The scalar list cellScalars are scalar values at each cell point. The point locator is essentially a points list that merges points as they are inserted (i.e., prevents duplicates). Contouring primitives can be vertices, lines, or polygons. It is possible to interpolate point data along the edge by providing input and output point data - if outPd is NULL, then no interpolation is performed. Also, if the output cell data is non-NULL, the cell data from the contoured cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.)

Implements vtkCell.

int vtkQuadraticEdge::EvaluatePosition | ( | float | x[3],
|  | float * | closestPoint,
|  | int & | subId,
|  | float | pcoords[3],
|  | float & | dist2,
|  | float * | weights
| ) | `[virtual]`

Given a point x[3] return inside(=1) or outside(=0) cell; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell. (The number of weights is equal to the number of points defining the cell). Note: on rare occasions a -1 is returned from the method. This means that numerical error has occurred and all data returned from this method should be ignored. Also, inside/outside is determine parametrically. That is, a point is inside if it satisfies parametric limits. This can cause problems for cells of topological dimension 2 or less, since a point in 3D can project onto the cell within parametric limits but be "far" from the cell. Thus the value dist2 may be checked to determine true in/out.

Implements vtkCell.

void vtkQuadraticEdge::EvaluateLocation | ( | int & | subId,
|  | float | pcoords[3],
|  | float | x[3],
|  | float * | weights
| ) | `[virtual]`

| Determine global coordinate (x[3]) from subId and parametric coordinates. Also returns interpolation weights. (The number of weights is equal to the number of points in the cell.) Implements vtkCell.

int vtkQuadraticEdge::Triangulate | ( | int | index,
|  | vtkIdList * | ptIds,
|  | vtkPoints * | pts
| ) | `[virtual]`

Generate simplices of proper dimension. If cell is 3D, tetrahedron are generated; if 2D triangles; if 1D lines; if 0D points. The form of the output is a sequence of points, each n+1 points (where n is topological cell dimension) defining a simplex. The index is a parameter that controls which triangulation to use (if more than one is possible). If numerical degeneracy encountered, 0 is returned, otherwise 1 is returned.

Implements vtkCell.

void vtkQuadraticEdge::Derivatives | ( | int | subId,
|  | float | pcoords[3],
|  | float * | values,
|  | int | dim,
|  | float * | derivs
| ) | `[virtual]`

Compute derivatives given cell subId and parametric coordinates. The values array is a series of data value(s) at the cell points. There is a one-to-one correspondence between cell point and data value(s). Dim is the number of data values per cell point. Derivs are derivatives in the x-y-z coordinate directions for each data value. Thus, if computing derivatives for a scalar function in a hexahedron, dim=1, 8 values are supplied, and 3 deriv values are returned (i.e., derivatives in x-y-z directions). On the other hand, if computing derivatives of velocity (vx,vy,vz) dim=3, 24 values are supplied ((vx,vy,vz)1, (vx,vy,vz)2, ....()8), and 9 deriv values are returned ((d(vx)/dx),(d(vx)/dy),(d(vx)/dz), (d(vy)/dx),(d(vy)/dy), (d(vy)/dz), (d(vz)/dx),(d(vz)/dy),(d(vz)/dz)).

Implements vtkCell.

void vtkQuadraticEdge::Clip | ( | float | value,
|  | vtkDataArray * | cellScalars,
|  | vtkPointLocator * | locator,
|  | vtkCellArray * | lines,
|  | vtkPointData * | inPd,
|  | vtkPointData * | outPd,
|  | vtkCellData * | inCd,
|  | vtkIdType | cellId,
|  | vtkCellData * | outCd,
|  | int | insideOut
| ) | `[virtual]`

| Clip this edge using scalar value provided. Like contouring, except that it cuts the edge to produce linear line segments. Implements vtkCell.

int vtkQuadraticEdge::IntersectWithLine | ( | float | p1[3],
|  | float | p2[3],
|  | float | tol,
|  | float & | t,
|  | float | x[3],
|  | float | pcoords[3],
|  | int & | subId
| ) | `[virtual]`

| Line-edge intersection. Intersection has to occur within [0,1] parametric coordinates and with specified tolerance. Implements vtkCell.

void vtkQuadraticEdge::InterpolationFunctions | ( | float | pcoords[3],
|  | float | weights[3]
| ) | `[static]`

| Quadratic edge specific methods.

void vtkQuadraticEdge::InterpolationDerivs | ( | float | pcoords[3],
|  | float | derivs[3]
| ) | `[static]`

| Quadratic edge specific methods.

## Member Data Documentation

vtkLine* vtkQuadraticEdge::Line`[protected]`

| Definition at line 116 of file vtkQuadraticEdge.h.

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

- Common/vtkQuadraticEdge.h