Open Inventor Release 2024.1.3
 
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MxQuadrangleCellExtract Class Reference

MeshViz Utility class for quadrangle cells. More...

#include <MeshVizXLM/extractors/MxQuadrangleCellExtract.h>

Static Public Member Functions

static MbVec3d getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, 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 quadrangle cell.
 
static void getWeight (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, 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 *quadrangleCell, const MbVec3d &point, std::vector< double > &weights)
 Checks if a point is inside or outside a quadrangle cell.
 
static double getLongestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)
 Gets the longest edge of a quadrangle cell.
 
static double getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)
 Gets the shortest edge of a quadrangle cell.
 

Detailed Description

MeshViz Utility class for quadrangle cells.

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

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

Definition at line 56 of file MxQuadrangleCellExtract.h.

Member Function Documentation

◆ getDerivs()

static void MxQuadrangleCellExtract::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]ipcoordThe 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]derivsThis method computes the 12 values derivs[0-11].
It assumes the derivs vector array has been already allocated. Its size must be set to 12 (at least) before calling this method, using for instance the derivs::resize(12)

◆ getIsoParametricCoord() [1/2]

static MbVec3d MxQuadrangleCellExtract::getIsoParametricCoord ( const MiGeometryI meshGeometry,
const MiSurfaceCell quadrangleCell,
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 quadrangleCell is assumed to contain 4 nodes.

Note
Each node coordinate of the given cell is retrieved in the following way:
 meshGeometry.getCoord(quadrangleCell->getNodeIndex(i)) 
for each i in the range [0-3].
Parameters
[in]meshGeometryThe geometry of the mesh.
[in]quadrangleCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.

◆ getIsoParametricCoord() [2/2]

static MbVec3d MxQuadrangleCellExtract::getIsoParametricCoord ( size_t  nodeIndex)
static

Returns the iso parametric coordinates of one of the 4 nodes of a quadrangle cell.

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

Parameters
[in]nodeIndexMust be defined in the range [0-3]

◆ getLongestEdgeLength()

static double MxQuadrangleCellExtract::getLongestEdgeLength ( const MiGeometryI meshGeometry,
const MiSurfaceCell cell 
)
static

Gets the longest edge of a quadrangle cell.

◆ getShortestEdgeLength()

static double MxQuadrangleCellExtract::getShortestEdgeLength ( const MiGeometryI meshGeometry,
const MiSurfaceCell cell 
)
static

Gets the shortest edge of a quadrangle cell.

◆ getWeight() [1/2]

static void MxQuadrangleCellExtract::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 quadrangle cell.

Parameters
[in]ipcoordThe 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]weightsThis 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 118 of file MxQuadrangleCellExtract.h.

◆ getWeight() [2/2]

static void MxQuadrangleCellExtract::getWeight ( const MiGeometryI meshGeometry,
const MiSurfaceCell quadrangleCell,
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 quadrangle cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given quadrangleCell is assumed to contain 4 nodes.

Note
Each node coordinate of the given cell is retrieved in the following way:
 meshGeometry.getCoord(quadrangleCell->getNodeIndex(i)) 
for each i in the range [0-3].
Parameters
[in]meshGeometryThe geometry of the mesh.
[in]quadrangleCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.
[out]weightsThis 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 101 of file MxQuadrangleCellExtract.h.

◆ isPointInsideCell()

static bool MxQuadrangleCellExtract::isPointInsideCell ( const MiGeometryI meshGeometry,
const MiSurfaceCell quadrangleCell,
const MbVec3d point,
std::vector< double > &  weights 
)
inlinestatic

Checks if a point is inside or outside a quadrangle cell.

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

Parameters
[in]meshGeometryThe geometry of the mesh.
[in]quadrangleCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.
[out]weightsThis 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 157 of file MxQuadrangleCellExtract.h.


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