fr.cnes.sirius.patrius.math.fitting

Class CurveFitter<T extends ParametricUnivariateFunction>

java.lang.Object

fr.cnes.sirius.patrius.math.fitting.CurveFitter<T>

Type Parameters:

T - Function to use for the fit.

Direct Known Subclasses:

GaussianFitter, HarmonicFitter, PolynomialFitter

public class CurveFitter<T extends ParametricUnivariateFunction>
extends Object

Fitter for parametric univariate real functions y = f(x).
When a univariate real function y = f(x) does depend on some unknown parameters p₀, p₁ ... p_n-1, this class can be used to find these parameters. It does this by fitting the curve so it remains very close to a set of observed points (x₀, y₀), (x₁, y₁) ... (x_k-1, y_k-1). This fitting is done by finding the parameters values that minimizes the objective function ∑(y_i-f(x_i))². This is really a least squares problem.

Since:

2.0

Version:

$Id: CurveFitter.java 18108 2017-10-04 06:45:27Z bignon $

Constructor Summary

Constructors

Constructor and Description
CurveFitter(MultivariateVectorOptimizer optimizerIn) Simple constructor.

Method Summary

Modifier and Type	Method and Description
void	addObservedPoint(double x, double y) Add an observed (x,y) point to the sample with unit weight.
void	addObservedPoint(double weight, double x, double y) Add an observed weighted (x,y) point to the sample.
void	addObservedPoint(WeightedObservedPoint observed) Add an observed weighted (x,y) point to the sample.
void	clearObservations() Remove all observations.
double[]	fit(int maxEval, T f, double[] initialGuess) Fit a curve.
double[]	fit(T f, double[] initialGuess) Fit a curve.
WeightedObservedPoint[]	getObservations() Get the observed points.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

CurveFitter

public CurveFitter(MultivariateVectorOptimizer optimizerIn)

Simple constructor.

Parameters:

optimizerIn - Optimizer to use for the fitting.

Since:

3.1

Method Detail

addObservedPoint

public void addObservedPoint(double x,
                             double y)

Add an observed (x,y) point to the sample with unit weight.

Calling this method is equivalent to call addObservedPoint(1.0, x, y).

Parameters:

x - abscissa of the point

y - observed value of the point at x, after fitting we should have f(x) as close as possible to this value

See Also:

addObservedPoint(double, double, double), addObservedPoint(WeightedObservedPoint), getObservations()

addObservedPoint

public void addObservedPoint(double weight,
                             double x,
                             double y)

Add an observed weighted (x,y) point to the sample.

Parameters:

weight - weight of the observed point in the fit

x - abscissa of the point

y - observed value of the point at x, after fitting we should have f(x) as close as possible to this value

See Also:

addObservedPoint(double, double), addObservedPoint(WeightedObservedPoint), getObservations()

addObservedPoint

public void addObservedPoint(WeightedObservedPoint observed)

Add an observed weighted (x,y) point to the sample.

Parameters:

observed - observed point to add

See Also:

addObservedPoint(double, double), addObservedPoint(double, double, double), getObservations()

getObservations

public WeightedObservedPoint[] getObservations()

Get the observed points.

Returns:

observed points

See Also:

addObservedPoint(double, double), addObservedPoint(double, double, double), addObservedPoint(WeightedObservedPoint)

clearObservations

public void clearObservations()

Remove all observations.

fit

public double[] fit(T f,
                    double[] initialGuess)

Fit a curve. This method compute the coefficients of the curve that best fit the sample of observed points previously given through calls to the addObservedPoint method.

Parameters:

f - parametric function to fit.

initialGuess - first guess of the function parameters.

Returns:

the fitted parameters.

Throws:

DimensionMismatchException - if the start point dimension is wrong.

fit

public double[] fit(int maxEval,
                    T f,
                    double[] initialGuess)

Fit a curve. This method compute the coefficients of the curve that best fit the sample of observed points previously given through calls to the addObservedPoint method.

Parameters:

f - parametric function to fit.

initialGuess - first guess of the function parameters.

maxEval - Maximum number of function evaluations.

Returns:

the fitted parameters.

Throws:

TooManyEvaluationsException - if the number of allowed evaluations is exceeded.

DimensionMismatchException - if the start point dimension is wrong.

Since:

3.0