MxTriangleCellExtract Class Reference
[Cell]

Utility class for triangle cells. More...

#include <MeshVizXLM/extractors/MxTriangleCellExtract.h>

List of all members.

Static Public Member Functions
static MbVec3d	getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point)
static MbVec3d	getIsoParametricCoord (size_t nodeIndex)
static void	getWeight (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point, std::vector< double > &weights)
static void	getWeight (const MbVec3d &ipcoord, std::vector< double > &weights)
static bool	isPointInsideCell (const MiGeometryI &meshGeometry, const MiSurfaceCell *triangleCell, const MbVec3d &point, std::vector< double > &weights)
static double	getLongestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)
static double	getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)

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Detailed Description

Utility class for triangle cells.

Utility class that provides a static implementation of the MiSurfaceCell's methods in a triangle cell. This class is provided to make easier the creation of a class in the application that implements the MiSurfaceCell interface for a triangle cell.

• value of iso parametric coordinates in a linear triangle cell. (see getIsoParametricCoord())
• value of the 3 weights (aka shape functions) in a triangle cell. (see getWeight())
• localization test (see isPointInsideCell())

The following image shows the nodes numbering used by this class. The weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.

Nodes numbering

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Member Function Documentation

static MbVec3d MxTriangleCellExtract::getIsoParametricCoord

(

size_t

nodeIndex

)

[static]

Returns the iso parametric coordinates of one of the 3 nodes of a triangle cell.

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

Parameters:

[in]

nodeIndex

Must be defined in the range [0-2]

static MbVec3d MxTriangleCellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	triangleCell,
		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 triangleCell is assumed to contain 3 nodes.

Note:

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

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

for each i in the range [0-2].

Parameters:

[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.

static double MxTriangleCellExtract::getLongestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	cell
	)			[static]

Gets the longest edge of a triangle cell.

static double MxTriangleCellExtract::getShortestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	cell
	)			[static]

Gets the shortest edge of a triangle cell.

static void MxTriangleCellExtract::getWeight	(	const MbVec3d &	ipcoord,
		std::vector< double > &	weights
	)			[inline, static]

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.

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 3 values weights[0-2]. It assumes the weights vector array has been already allocated. Its size must be set to 3 (at least) before calling this method, using for instance the weights::resize(3)

static void MxTriangleCellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	triangleCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

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 3 nodes.

Note:

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

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

for each i in the range [0-2].

Parameters:

[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 3 values weights[0-2]. It assumes the weights vector array has been already allocated. Its size must be set to 3 (at least) before calling this method, using for instance the weights.resize(3)

static bool MxTriangleCellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	triangleCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

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.

Parameters:

[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 3 values weights[0-2] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 3 (at least) before calling this method, using for instance the weights::resize(3)

Returns:

true if the point is inside the cell.

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

• MeshVizXLM/extractors/MxTriangleCellExtract.h