DISP3DLIB::Interpolation Class Reference

This class holds methods for creating distance-based weight matrices and for interpolating signals. More...

#include <interpolation.h>

Public Types
typedef QSharedPointer< Interpolation >	SPtr
typedef QSharedPointer< const Interpolation >	ConstSPtr

Public Member Functions
	Interpolation ()=delete

Static Public Member Functions
static QSharedPointer< Eigen::SparseMatrix< float > >	createInterpolationMat (const Eigen::VectorXi &vecProjectedSensors, const QSharedPointer< Eigen::MatrixXd > matDistanceTable, double(*interpolationFunction)(double), const double dCancelDist=FLOAT_INFINITY, const Eigen::VectorXi &vecExcludeIndex=Eigen::VectorXi())
	createInterpolationMat Calculates the weight matrix for interpolation.
static Eigen::VectorXf	interpolateSignal (const QSharedPointer< Eigen::SparseMatrix< float > > matInterpolationMatrix, const QSharedPointer< Eigen::VectorXf > &vecMeasurementData)
	interpolateSignal Interpolates sensor data using the weight matrix (shared pointer version).
static Eigen::VectorXf	interpolateSignal (const Eigen::SparseMatrix< float > &matInterpolationMatrix, const Eigen::VectorXf &vecMeasurementData)
	interpolateSignal Interpolates sensor data using the weight matrix (reference version).
static double	linear (const double dIn)
	linear Identity interpolation function.
static double	gaussian (const double dIn)
	gaussian Gaussian interpolation function (sigma=1).
static double	square (const double dIn)
	square Negative parabola interpolation function with y-offset of 1.
static double	cubic (const double dIn)
	cubic Cubic hyperbola interpolation function.

Detailed Description

This class holds methods for creating distance-based weight matrices and for interpolating signals.

This class holds methods for creating distance-based weight matrices and for interpolating signals.

Definition at line 72 of file interpolation.h.

Member Typedef Documentation

ConstSPtr

typedef QSharedPointer<const Interpolation> DISP3DLIB::Interpolation::ConstSPtr

Definition at line 76 of file interpolation.h.

SPtr

typedef QSharedPointer<Interpolation> DISP3DLIB::Interpolation::SPtr

Definition at line 75 of file interpolation.h.

Constructor & Destructor Documentation

Interpolation()

DISP3DLIB::Interpolation::Interpolation ( )

delete

Member Function Documentation

createInterpolationMat()

QSharedPointer< SparseMatrix< float > > Interpolation::createInterpolationMat ( const Eigen::VectorXi & vecProjectedSensors, const QSharedPointer< Eigen::MatrixXd > matDistanceTable, double(* interpolationFunction )(double), const double dCancelDist = FLOAT_INFINITY, const Eigen::VectorXi & vecExcludeIndex = Eigen::VectorXi() )

static

createInterpolationMat Calculates the weight matrix for interpolation.

Parameters

[in]	vecProjectedSensors	Mesh vertex index of each sensor (one column per sensor).
[in]	matDistanceTable	Distance table (nVertices x nSensors), e.g. from GeometryInfo::scdc.
[in]	interpolationFunction	Distance function whose inverse magnitude gives the weight.
[in]	dCancelDist	Distances at or above this value get zero weight.
[in]	vecExcludeIndex	Sensor column indices that are not pinned to their own vertex.

Returns

Row-normalised sparse weight matrix (nVertices x nSensors), or an empty matrix if the table is empty.

Definition at line 43 of file interpolation.cpp.

cubic()

double Interpolation::cubic ( const double dIn )

static

cubic Cubic hyperbola interpolation function.

Parameters

[in]

dIn

Input distance.

Returns

dIn^3.

Definition at line 161 of file interpolation.cpp.

gaussian()

double Interpolation::gaussian ( const double dIn )

static

gaussian Gaussian interpolation function (sigma=1).

Parameters

[in]

dIn

Input distance.

Returns

exp(-dIn^2 / 2).

Definition at line 147 of file interpolation.cpp.

interpolateSignal() [1/2]

Eigen::VectorXf DISP3DLIB::Interpolation::interpolateSignal ( const Eigen::SparseMatrix< float > & matInterpolationMatrix, const Eigen::VectorXf & vecMeasurementData )

static

interpolateSignal Interpolates sensor data using the weight matrix (reference version).

Parameters

[in]	matInterpolationMatrix	Weight matrix (nVertices x nSensors).
[in]	vecMeasurementData	Sensor values (nSensors).

Returns

Interpolated vertex values, or an empty vector on dimension mismatch.

interpolateSignal() [2/2]

Eigen::VectorXf DISP3DLIB::Interpolation::interpolateSignal ( const QSharedPointer< Eigen::SparseMatrix< float > > matInterpolationMatrix, const QSharedPointer< Eigen::VectorXf > & vecMeasurementData )

static

interpolateSignal Interpolates sensor data using the weight matrix (shared pointer version).

Parameters

[in]	matInterpolationMatrix	Weight matrix (nVertices x nSensors).
[in]	vecMeasurementData	Sensor values (nSensors).

Returns

Interpolated vertex values, or an empty vector on dimension mismatch.

linear()

double Interpolation::linear ( const double dIn )

static

linear Identity interpolation function.

Parameters

[in]

dIn

Input distance.

Returns

dIn unchanged.

Definition at line 140 of file interpolation.cpp.

square()

double Interpolation::square ( const double dIn )

static

square Negative parabola interpolation function with y-offset of 1.

Parameters

[in]

dIn

Input distance.

Returns

max(1 - dIn^2 / 9, 0).

Definition at line 154 of file interpolation.cpp.

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

• src/libraries/disp3D/helpers/interpolation.h
• src/libraries/disp3D/helpers/interpolation.cpp