Kratos::PlaneApproximationUtility< TDim > Class Template Reference

Utility to compute an approximation plane for a set of points. More...

#include <plane_approximation_utility.h>

Collaboration diagram for Kratos::PlaneApproximationUtility< TDim >:

Public Member Functions
Type Definitions
	KRATOS_CLASS_POINTER_DEFINITION (PlaneApproximationUtility)
	Pointer definition of PlaneApproximationUtility. More...
Operators
	PlaneApproximationUtility ()
	Default constructor. More...
virtual	~PlaneApproximationUtility ()
	Destructor. More...

Static Public Member Functions
Operations
static void	ComputePlaneApproximation (const std::vector< array_1d< double, 3 > > &rPointsCoords, array_1d< double, 3 > &rPlaneBasePointCoords, array_1d< double, 3 > &rPlaneNormal)
	Provided a list of point coordinates, computes the best plane approximation in a least squares sense. More...

Detailed Description

template<unsigned int TDim>
class Kratos::PlaneApproximationUtility< TDim >

Utility to compute an approximation plane for a set of points.

Provided a set of points, this utility computes the plane that best approximate them in a least square sense. The base point of the plane is the set of points average coordinates while the plane normal is taken as the eigenvector associated to the minimum eigenvalue of the matrix A. Matrix A is trans(P)*P, being P the matrix that stores in each row the difference between the base point and each one of the points to approximate.

Author

Ruben Zorrilla

Constructor & Destructor Documentation

PlaneApproximationUtility()

template<unsigned int TDim>

Kratos::PlaneApproximationUtility< TDim >::PlaneApproximationUtility ( )

inline

Default constructor.

~PlaneApproximationUtility()

template<unsigned int TDim>

virtual Kratos::PlaneApproximationUtility< TDim >::~PlaneApproximationUtility ( )

inlinevirtual

Destructor.

Member Function Documentation

ComputePlaneApproximation()

template<unsigned int TDim>

static void Kratos::PlaneApproximationUtility< TDim >::ComputePlaneApproximation ( const std::vector< array_1d< double, 3 > > &  rPointsCoords, array_1d< double, 3 > &  rPlaneBasePointCoords, array_1d< double, 3 > &  rPlaneNormal  )

inlinestatic

Provided a list of point coordinates, computes the best plane approximation in a least squares sense.

Parameters

rPointsCoords

Vector containing the set of point coordinates

Returns

rPlaneBasePointCoords Plane base point

rPlaneNormal Plane normal

KRATOS_CLASS_POINTER_DEFINITION()

template<unsigned int TDim>

Kratos::PlaneApproximationUtility< TDim >::KRATOS_CLASS_POINTER_DEFINITION

(

PlaneApproximationUtility< TDim >

)

Pointer definition of PlaneApproximationUtility.

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

• /home/runner/work/Documentation/Documentation/master/kratos/utilities/plane_approximation_utility.h