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.
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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 [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1]. |
[out] | derivs | This method computes the 27 values derivs[0-26]. 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) |
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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 [0-5].
[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. |
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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 [0-5] |
Definition at line 81 of file MxTriangle6CellExtract.h.
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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.
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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 [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1]. |
[out] | weights | This method computes the 6 values weights[0-5]. 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.
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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 [0-5].
[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[0-5]. 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.
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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[0-5] 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.
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