Utility class for tetrahedron cells. More...
#include <MeshVizXLM/extractors/MxTetrahedronCellExtract.h>
Static Public Member Functions | |
static void | getIsosurfTopology (unsigned char caseId, std::vector< std::pair< size_t, size_t > > &edgeList) |
Returns the isosurface topology of the associated caseId. | |
static MbVec3d | getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, 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 4 nodes of a tetrahedron cell. | |
static void | getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, 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 MiVolumeCell *tetrahedronCell, const MbVec3d &point, std::vector< double > &weights) |
Checks if a point is inside or outside a tetrahedron cell. | |
static double | getVolume (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell) |
Gets the volume of a tetrahedron cell. | |
static MbVec3d | getFacetNormal (size_t facetId, const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell) |
Gets the normal of the given facet in a tetrahedron cell. | |
static double | getLongestEdgeLength (const MiGeometryI &meshGeometry, const MiVolumeCell *cell) |
Gets the longest edge of a tetrahedron cell. | |
static double | getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiVolumeCell *cell) |
Gets the shortest edge of a tetrahedron cell. | |
Utility class for tetrahedron cells.
Utility class that provides a static implementation of the MiVolumeCell's methods in a tetrahedron cell. This class is provided to make easier the creation of a class in the application that implements the MiVolumeCell
interface for a tetrahedron cell.
The following image shows the nodes numbering and the faces numbering used by this class. The isosurface topology (see getIsosurfTopology()), weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.
Definition at line 59 of file MxTetrahedronCellExtract.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 18 values derivs[0-17]. It assumes the derivs vector array has been already allocated. Its size must be set to 18 (at least) before calling this method, using for instance the derivs::resize(18) |
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Gets the normal of the given facet in a tetrahedron cell.
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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 tetrahedronCell is assumed to contain 4 nodes.
meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))for each i in the range [0-3].
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | 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 4 nodes of a tetrahedron cell.
This static method helps to implement the method MiCell::getIsoParametricCoord().
[in] | nodeIndex | Must be defined in the range [0-3] |
Definition at line 90 of file MxTetrahedronCellExtract.h.
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Returns the isosurface topology of the associated caseId.
This method can be used in the getIsosurfTopology(...) implementation of a tetrahedron cell interface to return the information to the isosurface extraction module.
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Gets the longest edge of a tetrahedron cell.
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Gets the shortest edge of a tetrahedron cell.
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Gets the volume of a tetrahedron cell.
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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 tetrahedron 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 4 values weights[0-3]. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights::resize(4) |
Definition at line 132 of file MxTetrahedronCellExtract.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 tetrahedron cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given tetrahedronCell is assumed to contain 4 nodes.
meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))for each i in the range [0-3].
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 4 values weights[0-3]. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights.resize(4) |
Definition at line 114 of file MxTetrahedronCellExtract.h.
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inlinestatic |
Checks if a point is inside or outside a tetrahedron cell.
This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a tetrahedron cell.
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 4 values weights[0-3] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights::resize(4) |
Definition at line 164 of file MxTetrahedronCellExtract.h.