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.

Detailed Description

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.

extraction of the topology of an isosurface in a tetrahedron. (see getIsosurfTopology())
value of iso parametric coordinates in a linear tetrahedron cell. (see getIsoParametricCoord())
value of the 4 weights (aka shape functions) in a tetrahedron cell. (see getWeight())
localization test (see isPointInsideCell())

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.

Nodes and faces numbering

Definition at line 59 of file MxTetrahedronCellExtract.h.

Member Function Documentation

◆ getDerivs()

static void MxTetrahedronCellExtract::getDerivs	(	const MbVec3d &	ipcoord,
		std::vector< double > &	derivs
	)

static

Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.

Parameters

[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)

◆ getFacetNormal()

static MbVec3d MxTetrahedronCellExtract::getFacetNormal	(	size_t	facetId,
		const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell
	)

static

Gets the normal of the given facet in a tetrahedron cell.

◆ getIsoParametricCoord() [1/2]

static MbVec3d MxTetrahedronCellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		const MbVec3d &	point
	)

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 tetrahedronCell is assumed to contain 4 nodes.

Note

Each node coordinate of the given cell is retrieved in the following way:

 meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))

for each i in the range [0-3].

Parameters

[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.

◆ getIsoParametricCoord() [2/2]

static MbVec3d MxTetrahedronCellExtract::getIsoParametricCoord ( size_t nodeIndex )

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().

Parameters

[in] nodeIndex Must be defined in the range [0-3]

Definition at line 90 of file MxTetrahedronCellExtract.h.

◆ getIsosurfTopology()

static void MxTetrahedronCellExtract::getIsosurfTopology	(	unsigned char	caseId,
		std::vector< std::pair< size_t, size_t > > &	edgeList
	)

static

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.

◆ getLongestEdgeLength()

static double MxTetrahedronCellExtract::getLongestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	cell
	)

static

Gets the longest edge of a tetrahedron cell.

◆ getShortestEdgeLength()

static double MxTetrahedronCellExtract::getShortestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	cell
	)

static

Gets the shortest edge of a tetrahedron cell.

◆ getVolume()

static double MxTetrahedronCellExtract::getVolume	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell
	)

static

Gets the volume of a tetrahedron cell.

◆ getWeight() [1/2]

static void MxTetrahedronCellExtract::getWeight	(	const MbVec3d &	ipcoord,
		std::vector< double > &	weights
	)

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.

Parameters

[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.

◆ getWeight() [2/2]

static void MxTetrahedronCellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)

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.

Note

Each node coordinate of the given cell is retrieved in the following way:

 meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))

for each i in the range [0-3].

Parameters

[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.

◆ isPointInsideCell()

static bool MxTetrahedronCellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	tetrahedronCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)

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.

Parameters

[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)

Returns: true if the point is inside the cell.

Definition at line 164 of file MxTetrahedronCellExtract.h.

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

MeshVizXLM/extractors/MxTetrahedronCellExtract.h

Open Inventor Release 2024.2.1

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ getDerivs()

◆ getFacetNormal()

◆ getIsoParametricCoord() [1/2]

◆ getIsoParametricCoord() [2/2]

◆ getIsosurfTopology()

◆ getLongestEdgeLength()

◆ getShortestEdgeLength()

◆ getVolume()

◆ getWeight() [1/2]

◆ getWeight() [2/2]

◆ isPointInsideCell()