fourier.h File Reference

Functions for computing FFTs. More...

#include "stir/VectorWithOffset.h"
#include "stir/Array_complex_numbers.h"

Go to the source code of this file.

Namespaces
namespace	stir
	Namespace for the STIR library (and some/most of its applications)

Functions
template<typename T>
void	stir::fourier (T &c, const int sign=1)
	Compute multi-dimensional discrete fourier transform.
template<typename T>
void	stir::inverse_fourier (T &c, const int sign=1)
	Compute the inverse of the multi-dimensional discrete fourier transform.
template<typename T>
void	stir::fourier_1d (T &c, const int sign)
	Compute one-dimensional discrete fourier transform of an array.
template<typename T>
void	stir::inverse_fourier_1d (T &c, const int sign=1)
	Compute the inverse of the one-dimensional discrete fourier transform.
template<typename T>
Array< 1, std::complex< T > >	stir::fourier_1d_for_real_data (const Array< 1, T > &c, const int sign=1)
	Compute one-dimensional discrete fourier transform of a real array (of even size).
template<typename T>
Array< 1, T >	stir::inverse_fourier_1d_for_real_data (const Array< 1, std::complex< T > > &c, const int sign=1)
	Compute the inverse of the one-dimensional discrete fourier transform of a real array (of even size).
template<typename T>
Array< 1, T >	stir::inverse_fourier_1d_for_real_data_corrupting_input (Array< 1, std::complex< T > > &c, const int sign)
	As inverse_fourier_1d_for_real_data(), but avoiding the copy of the input array.
template<int num_dimensions, typename T>
Array< num_dimensions, std::complex< T > >	stir::fourier_for_real_data (const Array< num_dimensions, T > &c, const int sign=1)
	Compute discrete fourier transform of a real array (with the last dimensions of even size).
template<int num_dimensions, typename T>
Array< num_dimensions, T >	stir::inverse_fourier_for_real_data (const Array< num_dimensions, std::complex< T > > &c, const int sign=1)
	Compute the inverse of the discrete fourier transform of a real array (with the last dimension of even size).
template<int num_dimensions, typename T>
Array< num_dimensions, T >	stir::inverse_fourier_for_real_data_corrupting_input (Array< num_dimensions, std::complex< T > > &c, const int sign=1)
	As inverse_fourier_for_real_data(), but avoiding the copy of the input array.
template<int num_dimensions, typename T>
Array< num_dimensions, std::complex< T > >	stir::pos_frequencies_to_all (const Array< num_dimensions, std::complex< T > > &c)
	Adds negative frequencies to the last dimension of a complex array by complex conjugation.

Detailed Description

Functions for computing FFTs.

Author

Kris Thielemans