fourier.cxx File Reference

Functions for computing discrete fourier transforms. More...

#include "stir/numerics/fourier.h"
#include "stir/round.h"
#include "stir/modulo.h"
#include "stir/array_index_functions.h"
#include "stir/error.h"

Namespaces
	stir
	Namespace for the STIR library (and some/most of its applications)
	stir::detail
	Namespace for the implementation details of the STIR library.

Macros
#define	INSTANTIATE(d, type)

Functions
template<typename T >
void	stir::fourier_1d (T &c, const int sign)
	Compute one-dimensional discrete fourier transform of an array. More...
template<typename T >
void	stir::fourier (T &c, const int sign=1)
	Compute multi-dimensional discrete fourier transform. More...
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). More...
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. More...
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). More...
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). More...
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. More...
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). More...
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. More...
template void	stir::fourier (Array< 3, std::complex< float >> &c, const int sign)
template void	stir::fourier (Array< 2, std::complex< float >> &c, const int sign)
template void	stir::fourier (Array< 1, std::complex< float >> &c, const int sign)
template void	stir::fourier (VectorWithOffset< std::complex< float >> &c, const int sign)
	stir::INSTANTIATE (1, float)
	stir::INSTANTIATE (2, float)
	stir::INSTANTIATE (3, float)

Detailed Description

Functions for computing discrete fourier transforms.

Author

Kris Thielemans

Macro Definition Documentation

INSTANTIATE

#define INSTANTIATE	(		d,
			type
	)

Value:

template Array<d, std::complex<type>> fourier_for_real_data<>(const Array<d, type>& v, const int sign);                        \
  template Array<d, type> inverse_fourier_for_real_data_corrupting_input<>(Array<d, std::complex<type>> & c, const int sign);    \
  template Array<d, type> inverse_fourier_for_real_data<>(const Array<d, std::complex<type>>& c, const int sign);                \
  template Array<d, std::complex<type>> pos_frequencies_to_all<>(const Array<d, std::complex<type>>& c);