Utility class for hexahedron cells. More...

#include <MeshVizXLM/extractors/MxHexahedronCellExtract.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 *hexahedronCell, 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 8 nodes of a hexahedron cell.

static void	getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, 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 *hexahedronCell, const MbVec3d &point, std::vector< double > &weights)
	Checks if a point is inside or outside an hexahedron cell.

static double	getVolume (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell)
	Gets the volume of the cell.

static MbVec3d	getFacetNormal (size_t facetId, const MiGeometryI &meshGeometry, const MiVolumeCell *pyramidCell)
	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 hexahedron cell.

static double	getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiVolumeCell *cell)
	Gets the shortest edge of a hexahedron cell.

Detailed Description

Utility class for hexahedron cells.

Utility class that provides a static implementation of the MiVolumeCell interface methods for a hexahedron cell. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a hexahedron cell.

Extraction of the topology of an isosurface in a hexahedron. (see getIsosurfTopology())
Value of iso parametric coordinates in a linear hexahedron cell. (see getIsoParametricCoord())
Value of the 8 weights (aka shape functions) in a hexahedron cell. (see getWeight())
Localization test (see isPointInsideCell())

The following image shows the node numbering and the face 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 MxHexahedronCellExtract.h.

Member Function Documentation

◆ getDerivs()

static void MxHexahedronCellExtract::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 24 values derivs[0-23]. It assumes the derivs vector array has been already allocated. Its size must be set to 24 (at least) before calling this method, using for instance the derivs.resize(24)

◆ getFacetNormal()

static MbVec3d MxHexahedronCellExtract::getFacetNormal	(	size_t	facetId,
		const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	pyramidCell
	)

static

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

◆ getIsoParametricCoord() [1/2]

static MbVec3d MxHexahedronCellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell,
		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 hexahedronCell is assumed to contain 8 nodes.

Note

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

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

for each i in the range [0-7].

Parameters

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.

◆ getIsoParametricCoord() [2/2]

static MbVec3d MxHexahedronCellExtract::getIsoParametricCoord ( size_t nodeIndex )

static

Returns the iso parametric coordinates of one of the 8 nodes of a hexahedron cell.

This static method helps to implement the method MiCell::getIsoParametricCoord().

Parameters

[in] nodeIndex Must be defined in the range [0-7]

◆ getIsosurfTopology()

static void MxHexahedronCellExtract::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 an hexahedron cell interface to return the information to the isosurface extraction module.

◆ getLongestEdgeLength()

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

static

Gets the longest edge of a hexahedron cell.

◆ getShortestEdgeLength()

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

static

Gets the shortest edge of a hexahedron cell.

◆ getVolume()

static double MxHexahedronCellExtract::getVolume	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell
	)

static

Gets the volume of the cell.

◆ getWeight() [1/2]

static void MxHexahedronCellExtract::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 hexahedron 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 8 values weights[0-7]. It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8)

Definition at line 129 of file MxHexahedronCellExtract.h.

◆ getWeight() [2/2]

static void MxHexahedronCellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiVolumeCell *	hexahedronCell,
		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 hexahedron cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 8 nodes.

Note

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

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

for each i in the range [0-7].

Parameters

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 8 values weights[0-7]. It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8)

Definition at line 111 of file MxHexahedronCellExtract.h.

◆ isPointInsideCell()

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

inlinestatic

Checks if a point is inside or outside an hexahedron cell.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a hexahedron cell.

Parameters

[in]	meshGeometry	The geometry of the mesh.
[in]	hexahedronCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 8 values weights[0-7] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8)

Returns: true if the point is inside the cell.

Definition at line 173 of file MxHexahedronCellExtract.h.

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

MeshVizXLM/extractors/MxHexahedronCellExtract.h

Open Inventor Release 2023.2.3

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()