polyfit.h File Reference

Polynomial fitting using the least squares method (Gauss-Newton for linear models). More...

#include <stdexcept>
#include <Eigen/Eigen>

Go to the source code of this file.

Functions
template<typename Derived>
const Derived::PlainObject	sablib::PolyFit (const Eigen::MatrixBase< Derived > &x, const Eigen::MatrixBase< Derived > &y, const unsigned int polyorder)
	Fits a polynomial of a specified order to the given data points.

Detailed Description

Polynomial fitting using the least squares method (Gauss-Newton for linear models).

Author

Izadori

Definition in file polyfit.h.

Function Documentation

PolyFit()

template<typename Derived>

const Derived::PlainObject sablib::PolyFit	(	const Eigen::MatrixBase< Derived > &	x,
		const Eigen::MatrixBase< Derived > &	y,
		const unsigned int	polyorder )

Fits a polynomial of a specified order to the given data points.

This function uses the normal equations, which is the Gauss-Newton method applied to a linear model.

Template Parameters

Derived

The derived type of the Eigen object.

Parameters

x	The x-coordinates of the data points.
y	The y-coordinates of the data points.
polyorder	The order of the polynomial to fit.

Returns

The coefficients of the fitted polynomial (from lowest to highest order).

Exceptions

std::invalid_argument

Thrown if x and y sizes differ or if polyorder is too high.

Definition at line 29 of file polyfit.h.