Fourier Transforms

Methods for calculating the Fourier Transform. More...

Methods for calculating the Fourier Transform.

Modules
	Fast Fourier Transforms
	The Fast Fourier Transform interface.
	Matrix Fourier Transforms
	The Matrix Fouriter Transform interface.
	Fourier Transform Files

Enumerations
enum class	mx::math::ft::dir { dir::forward , dir::backward }
	Directions of the Fourier Transform. More...

Functions
template<class eigenArrOutT , class eigenArrInT >
void	mx::math::ft::padR2CFFTOutput (eigenArrOutT &aout, eigenArrInT &ain)
	Add padding to the output of a real-to-complex (R2C) FFT.
template<class eigenArrOutT , class eigenArrInT >
void	mx::math::ft::padC2CFFTOutput (eigenArrOutT &aout, eigenArrInT &ain)
	Add padding to the output of a complex-to-complex (C2C) FFT.
template<class eigenArrOutT , class eigenArrInT >
void	mx::math::ft::augmentR2CFFTOutput (eigenArrOutT &aout, eigenArrInT &ain)

Enumeration Type Documentation

dir

enum class mx::math::ft::dir

strong

Directions of the Fourier Transform.

Enumerator
forward	Specifies the forward transform.
backward	Specifies the backward transform.

Definition at line 41 of file ftTypes.hpp.

Function Documentation

augmentR2CFFTOutput()

template<class eigenArrOutT , class eigenArrInT >

void mx::math::ft::augmentR2CFFTOutput	(	eigenArrOutT &	aout,
		eigenArrInT &	ain
	)

Augment and pad the output of a real-to-complex (R2C) forward FFT for use with a complex-to-complex (C2C) inverse FFT The output array should be pre-sized according to:

*   aout.row() == 2*(ain.rows()-1) + padRows
*   aout.cols() == ain.cols() + padCols
* 

where padRows and padCols can be 0. aout will be in FFT order and suitable for input to the inverse transform (complex-to-complex).

Definition at line 105 of file ftUtils.hpp.

References mx::math::six_fifths().

Referenced by mx::improc::imageXCorrFFT< _realImageT >::findPeak().

padC2CFFTOutput()

template<class eigenArrOutT , class eigenArrInT >

void mx::math::ft::padC2CFFTOutput	(	eigenArrOutT &	aout,
		eigenArrInT &	ain
	)

Add padding to the output of a complex-to-complex (C2C) FFT.

The output array should be pre-sized according to:

* aout.row() ==  ain.rows() + padRows
* aout.cols() == ain.cols() + padCols
* 

where padRows and `padCols are the desired amount of padding. aout will be in FFT order and suitable for input to the inverse transform (complex-to-complex).

Parameters

[out]	aout	The padded array. Must be pre-allocated. The pad region will not be set to zero. Size of the pad is determined by the difference in size between aout and ain
[in]	ain	The array to be paddded, in complex-to-complex FFTW storage order.

Definition at line 74 of file ftUtils.hpp.

References mx::math::six_fifths().

Referenced by mx::improc::imageXCorrFFT< _realImageT >::operator()().

padR2CFFTOutput()

template<class eigenArrOutT , class eigenArrInT >

void mx::math::ft::padR2CFFTOutput	(	eigenArrOutT &	aout,
		eigenArrInT &	ain
	)

Add padding to the output of a real-to-complex (R2C) FFT.

The output array should be pre-sized according to:

* aout.cols() == ain.cols() + padCols
* aout.rows() == ain.rows() + padRows
* 

where padRows and `padCols are the desired amount of padding. aout will be in FFT order and suitable for input to the inverse transform (complext-to-real).

Parameters

[out]	aout	The padded array. Must be pre-allocated. The pad region will not be set to zero. Size of the pad is determined by the difference in size between aout and ain
[in]	ain	The array to be paddded, in real-to-complex FFTW storage order.

Definition at line 50 of file ftUtils.hpp.

References mx::math::six_fifths().

Referenced by mx::improc::imageXCorrFFT< _realImageT >::operator()().