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FFT Namespace Reference

Compounds

class Support

Type for support of FFT calculation. More...

Functions

template<typename Function> void convolve (const Function &f, const Function &g, Function *const h)

Compute h=f*g for f,g and h real functions.

template<typename Function> void convolve (const Function &f, const Function &g, Function *const h, Support &support)

template<typename Function> void convolve (const Support::buffer_type &F, const Function &g, Function *const h, Support &support)

template<typename Function> void move_center (const Function &f, const unsigned int x, const unsigned int y, Function *const result)

template<typename Complex_data_2D_array> void x_derivative (const Complex_data_2D_array &source, Complex_data_2D_array *const result)

template<typename Complex_data_2D_array> void y_derivative (const Complex_data_2D_array &source, Complex_data_2D_array *const result)

template<typename Function, typename Complex_data_2D_array> void fill_real_part (const Function &f, Complex_data_2D_array *const array)

template<typename Function, typename Complex_data_2D_array> void fill_imaginary_part (const Function &f, Complex_data_2D_array *const array)

template<typename Function> void difference_of_gaussians (const Function &f, const float small_wave_length, const float large_wave_length, Function *const g)

Filter f by (Gaussian_small - Gaussian_large).

template<typename Function> void difference_of_gaussians (const Function &f, const float small_wave_length, const float large_wave_length, Function *const g, Support &support)

template<typename Function> void difference_of_gaussians (const Function &f, const float center_wave_length, Function *const g)

Filter f by a pass-band filter centered on center_wave_length.

template<typename Function> void difference_of_gaussians (const Function &f, const float center_wave_length, Function *const g, Support &support)

template<typename Function> void difference_of_gaussians (const Support::buffer_type &F, const float center_wave_length, Function *const g, Support &support)

template<typename Function> void difference_of_gaussians (const Support::buffer_type &F, const float small_wave_length, const float large_wave_length, Function *const g, Support &support)

Function Documentation

template<typename Function>

void FFT::convolve ( const Support::buffer_type & F,

const Function & g,

Function *const h,

Support & support

)

This function mixes frequency representation for f and space representation for g to provide a fast process when f is convolved several times with different g. Compute h=f*g for f,g and h real functions. Support is given, goes faster for multiple computations. f is given through its Fourier transform F in a Support::buffer_type.

template<typename Function>

void FFT::convolve ( const Function & f,

const Function & g,

Function *const h,

Support & support

) [inline]

Compute h=f*g for f,g and h real functions. Support is given, goes faster for multiple computations.

template<typename Function>

void FFT::convolve ( const Function & f,

const Function & g,

Function *const h

) [inline]

Compute h=f*g for f,g and h real functions.

template<typename Function>

void FFT::difference_of_gaussians ( const Support::buffer_type & F,

const float small_wave_length,

const float large_wave_length,

Function *const g,

Support & support

)

This function mixes frequency representation for f and space representation for g to provide a fast process when f filtered several times. Filter f by (Gaussian_small - Gaussian_large). f is given through its Fourier transform F in a Support::buffer_type.

template<typename Function>

void FFT::difference_of_gaussians ( const Support::buffer_type & F,

const float center_wave_length,

Function *const g,

Support & support

) [inline]

Filter f (represented by its Fourier transform) by a pass-band filter centered on center_wave_length.

template<typename Function>

void FFT::difference_of_gaussians ( const Function & f,

const float center_wave_length,

Function *const g,

Support & support

) [inline]

Filter f by a pass-band filter centered on center_wave_length. Support is given, goes faster for multiple computations.

template<typename Function>

void FFT::difference_of_gaussians ( const Function & f,

const float center_wave_length,

Function *const g

) [inline]

Filter f by a pass-band filter centered on center_wave_length.

template<typename Function>

void FFT::difference_of_gaussians ( const Function & f,

const float small_wave_length,

const float large_wave_length,

Function *const g,

Support & support

) [inline]

Filter f by (Gaussian_small - Gaussian_large). Support is given, goes faster for multiple computations.

template<typename Function>

void FFT::difference_of_gaussians ( const Function & f,

const float small_wave_length,

const float large_wave_length,

Function *const g

) [inline]

Filter f by (Gaussian_small - Gaussian_large).

template<typename Function, typename Complex_data_2D_array>

void FFT::fill_imaginary_part ( const Function & f,

Complex_data_2D_array *const array

)

Fill in the imaginary part of the array with function f. Real part is not changed.

template<typename Function, typename Complex_data_2D_array>

void FFT::fill_real_part ( const Function & f,

Complex_data_2D_array *const array

)

Fill in the real part of the array with function f. Imaginary part is not changed.

template<typename Function>

void FFT::move_center ( const Function & f,

const unsigned int x,

const unsigned int y,

Function *const result

)

Adapt the function so that the point (0,0) is at (x,y) before the funtion call.

template<typename Complex_data_2D_array>

void FFT::x_derivative ( const Complex_data_2D_array & source,

Complex_data_2D_array *const result

)

Compute the x derivative of source put it in result. More precisely, source is the FFT of a function f and result is the FFT of the x derivative of f. Can perform in-place computation: just give source = result.

template<typename Complex_data_2D_array>

void FFT::y_derivative ( const Complex_data_2D_array & source,

Complex_data_2D_array *const result

)

Compute the y derivative of source put it in result. More precisely, source is the FFT of a function f and result is the FFT of the y derivative of f. Can perform in-place computation: just give source = result.

Generated on Thu Aug 19 15:55:51 2004 by

1.2.18


Compounds
class	Support
	Type for support of FFT calculation. More...
Functions
template<typename Function> void	convolve (const Function &f, const Function &g, Function *const h)
	Compute h=fg for f,g and h real functions.*
template<typename Function> void	convolve (const Function &f, const Function &g, Function *const h, Support &support)
template<typename Function> void	convolve (const Support::buffer_type &F, const Function &g, Function *const h, Support &support)
template<typename Function> void	move_center (const Function &f, const unsigned int x, const unsigned int y, Function *const result)
template<typename Complex_data_2D_array> void	x_derivative (const Complex_data_2D_array &source, Complex_data_2D_array *const result)
template<typename Complex_data_2D_array> void	y_derivative (const Complex_data_2D_array &source, Complex_data_2D_array *const result)
template<typename Function, typename Complex_data_2D_array> void	fill_real_part (const Function &f, Complex_data_2D_array *const array)
template<typename Function, typename Complex_data_2D_array> void	fill_imaginary_part (const Function &f, Complex_data_2D_array *const array)
template<typename Function> void	difference_of_gaussians (const Function &f, const float small_wave_length, const float large_wave_length, Function *const g)
	Filter f by (Gaussian_small - Gaussian_large).
template<typename Function> void	difference_of_gaussians (const Function &f, const float small_wave_length, const float large_wave_length, Function *const g, Support &support)
template<typename Function> void	difference_of_gaussians (const Function &f, const float center_wave_length, Function *const g)
	Filter f by a pass-band filter centered on `center_wave_length`.
template<typename Function> void	difference_of_gaussians (const Function &f, const float center_wave_length, Function *const g, Support &support)
template<typename Function> void	difference_of_gaussians (const Support::buffer_type &F, const float center_wave_length, Function *const g, Support &support)
template<typename Function> void	difference_of_gaussians (const Support::buffer_type &F, const float small_wave_length, const float large_wave_length, Function *const g, Support &support)