Moffat Functions

Fitting Moffat functions to data. More...

Fitting Moffat functions to data.

The Moffat Function[14], a.k.a. the Moffat Profile, a.k.a. the Moffat Distribution, has the form

\[ I(x) = I_{pk}\left[ 1 + \frac{x^2}{\alpha^2}\right]^{-\beta} \]

With \(\beta=1\) it is the Lorentzian or Cauchy distribution. See also https://en.wikipedia.org/wiki/Moffat_distribution and https://en.wikipedia.org/wiki/Cauchy_distribution.

For utilities for working with Moffat functions see The Moffat Function.

Classes
class	mx::math::fit::fitEmpirical2DGen< fitterT >
	Class to manage fitting a 2D Moffat to data via the levmarInterface. More...
struct	mx::math::fit::array2FitEmpirical< realT >
	Wrapper for a native array to pass to levmarInterface, with empirical function fit details. More...
struct	mx::math::fit::empirical2D_fitter< _realT >
	levmarInterface fitter structure for 2D empirical functions. More...
struct	mx::math::fit::array2FitMoffat1D< realT >
	Wrapper for a native array to pass to levmarInterface, with Moffat details. More...
struct	mx::math::fit::moffat1D_fitter< _realT >
	levmarInterface fitter structure for the 1D Moffat. More...
class	mx::math::fit::fitMoffat1D< _realT >
	Class to manage fitting a 1D Moffat to data via the levmarInterface. More...
class	mx::math::fit::fitMoffat2D< fitterT >
	Class to manage fitting a 2D Moffat to data via the levmarInterface. More...
struct	mx::math::fit::array2FitMoffat< realT >
	Wrapper for a native array to pass to levmarInterface, with Moffat details. More...
struct	mx::math::fit::moffat2D_sym_fitter< _realT >
	levmarInterface fitter structure for the symmetric Moffat. More...

Typedefs
template<typename realT >
using	mx::math::fit::fitEmpirical2D = mx::math::fit::fitEmpirical2DGen< mx::math::fit::empirical2D_fitter< realT > >
	Alias for the fitEmpirical2D type fitting the symmetric Moffat profile.
template<typename realT >
using	mx::math::fit::fitMoffat2Dsym = mx::math::fit::fitMoffat2D< mx::math::fit::moffat2D_sym_fitter< realT > >
	Alias for the fitMoffat2D type fitting the symmetric Moffat profile.

Typedef Documentation

fitEmpirical2D

template<typename realT >

using mx::math::fit::fitEmpirical2D = typedef mx::math::fit::fitEmpirical2DGen<mx::math::fit::empirical2D_fitter<realT> >

Alias for the fitEmpirical2D type fitting the symmetric Moffat profile.

Definition at line 372 of file fitEmpirical.hpp.

fitMoffat2Dsym

template<typename realT >

using mx::math::fit::fitMoffat2Dsym = typedef mx::math::fit::fitMoffat2D<mx::math::fit::moffat2D_sym_fitter<realT> >

Alias for the fitMoffat2D type fitting the symmetric Moffat profile.

Definition at line 843 of file fitMoffat.hpp.