Utility class for quadratic triangle cells with 6 nodes. More...
#include <MeshVizXLM/extractors/MxTriangle6CellExtract.h>
Static Public Member Functions  
static MbVec3d  getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point) 
Computes the iso parametric coordinates of the given point in the given cell with the given geometry.  
static MbVec3d  getIsoParametricCoord (size_t nodeIndex) 
Returns the iso parametric coordinates of one of the 6 nodes of a triangle cell.  
static void  getWeight (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point, std::vector< double > &weights) 
Gets the weights in the given cell of the given point.  
static void  getWeight (const MbVec3d &ipcoord, std::vector< double > &weights) 
Gets the weights of a point defined by its iso parametric coordinates.  
static void  getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs) 
Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.  
static bool  isPointInsideCell (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point, std::vector< double > &weights) 
Checks if a point is inside or outside a triangle cell.  
static size_t  getSubTriangleNodesIndex (std::vector< size_t > &triangleNodeIds) 
Gets a triangulation of a quadratic triangle of 6 nodes.  
Friends  
std::ostream &  operator<< (std::ostream &s, const MxTriangle6CellExtract &cell) 
Utility class for quadratic triangle cells with 6 nodes.
Utility class that provides a static implementation of the MiSurfaceCell interface methods for a quadratic triangle cell of 6 nodes. This class is provided to make it easier to create a class that implements the MiSurfaceCell
interface for a quadratic triangle of 6 nodes.
The following image shows the node numbering used by this class. The weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.
Definition at line 57 of file MxTriangle6CellExtract.h.

static 
Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.
[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  derivs  This method computes the 27 values derivs[026]. It assumes the derivs vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the derivs::resize(27) 

static 
Computes the iso parametric coordinates of the given point in the given cell with the given geometry.
As computing the iso parametric coordinates of a point needs the coordinates of the cell's nodes, the given triangleCell is assumed to contain 6 nodes.
meshGeometry.getCoord(triangleCell>getNodeIndex(i))for each i in the range [05].
[in]  meshGeometry  The geometry of the mesh. 
[in]  triangleCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 

inlinestatic 
Returns the iso parametric coordinates of one of the 6 nodes of a triangle cell.
This static method helps to implement the method MiCell::getIsoParametricCoord().
[in]  nodeIndex  Must be defined in the range [05] 
Definition at line 81 of file MxTriangle6CellExtract.h.

inlinestatic 
Gets a triangulation of a quadratic triangle of 6 nodes.
This static method helps to implement the method MiSurfaceCell::getSubTriangleNodesIndex() for a quadratic triangle of 6 nodes.
[out]  triangleNodeIds  Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 6 for each i). 
Definition at line 168 of file MxTriangle6CellExtract.h.

inlinestatic 
Gets the weights of a point defined by its iso parametric coordinates.
This static method helps to implement the method MiCell::getWeight(ipcoord,weights) for a triangle cell.
[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  weights  This method computes the 6 values weights[05]. It assumes the weights vector array has been already allocated. Its size must be set to 6 (at least) before calling this method, using for instance the weights::resize(6) 
Definition at line 183 of file MxTriangle6CellExtract.h.

inlinestatic 
Gets the weights in the given cell of the given point.
This static method helps to implement the method MiCell::getWeight(meshGeometry,point,weights) for a triangle cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given triangleCell is assumed to contain 6 nodes.
meshGeometry.getCoord(triangleCell>getNodeIndex(i))for each i in the range [05].
[in]  meshGeometry  The geometry of the mesh. 
[in]  triangleCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 
[out]  weights  This method computes the 6 values weights[05]. It assumes the weights vector array has been already allocated. Its size must be set to 6 (at least) before calling this method, using for instance the weights.resize(6) 
Definition at line 105 of file MxTriangle6CellExtract.h.

inlinestatic 
Checks if a point is inside or outside a triangle cell.
This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a triangle cell.
[in]  meshGeometry  The geometry of the mesh. 
[in]  triangleCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 
[out]  weights  This method computes the 6 values weights[05] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 6 (at least) before calling this method, using for instance the weights::resize(6) 
Definition at line 150 of file MxTriangle6CellExtract.h.

friend 