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An interactive program to play with the two-dimensional Fourier transform

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GPL-2.0 license
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examples
examples
 
 
icons
icons
 
 
packaging/windows
packaging/windows
 
 
.gitignore
.gitignore
 
 
INSTALL.md
INSTALL.md
 
 
LICENSE
LICENSE
 
 
README.md
README.md
 
 
about.cpp
about.cpp
 
 
about.hpp
about.hpp
 
 
aligned_buf.hpp
aligned_buf.hpp
 
 
aligned_buf_impl.hpp
aligned_buf_impl.hpp
 
 
basis_vector.cpp
basis_vector.cpp
 
 
basis_vector.hpp
basis_vector.hpp
 
 
color.cpp
color.cpp
 
 
color.hpp
color.hpp
 
 
color_impl.hpp
color_impl.hpp
 
 
command.cpp
command.cpp
 
 
command.hpp
command.hpp
 
 
connector.cpp
connector.cpp
 
 
connector.hpp
connector.hpp
 
 
connector_pos.cpp
connector_pos.cpp
 
 
connector_pos.hpp
connector_pos.hpp
 
 
convolution_plan.cpp
convolution_plan.cpp
 
 
convolution_plan.hpp
convolution_plan.hpp
 
 
document.cpp
document.cpp
 
 
document.hpp
document.hpp
 
 
document_impl.hpp
document_impl.hpp
 
 
edge.cpp
edge.cpp
 
 
edge.hpp
edge.hpp
 
 
edge_cycle.cpp
edge_cycle.cpp
 
 
edge_cycle.hpp
edge_cycle.hpp
 
 
examples.cpp
examples.cpp
 
 
examples.hpp
examples.hpp
 
 
extremes.cpp
extremes.cpp
 
 
extremes.hpp
extremes.hpp
 
 
extremes_impl.hpp
extremes_impl.hpp
 
 
fft_buf.cpp
fft_buf.cpp
 
 
fft_buf.hpp
fft_buf.hpp
 
 
fft_complete.hpp
fft_complete.hpp
 
 
fft_complete_impl.hpp
fft_complete_impl.hpp
 
 
fft_plan.cpp
fft_plan.cpp
 
 
fft_plan.hpp
fft_plan.hpp
 
 
globals.cpp
globals.cpp
 
 
globals.hpp
globals.hpp
 
 
handle_interface.hpp
handle_interface.hpp
 
 
magnifier.cpp
magnifier.cpp
 
 
magnifier.hpp
magnifier.hpp
 
 
main.cpp
main.cpp
 
 
mainwindow.cpp
mainwindow.cpp
 
 
mainwindow.hpp
mainwindow.hpp
 
 
operator.cpp
operator.cpp
 
 
operator.hpp
operator.hpp
 
 
operator_adder.cpp
operator_adder.cpp
 
 
operator_adder.hpp
operator_adder.hpp
 
 
operator_conjugate.cpp
operator_conjugate.cpp
 
 
operator_conjugate.hpp
operator_conjugate.hpp
 
 
operator_const.cpp
operator_const.cpp
 
 
operator_const.hpp
operator_const.hpp
 
 
operator_convolution.cpp
operator_convolution.cpp
 
 
operator_convolution.hpp
operator_convolution.hpp
 
 
operator_factory.cpp
operator_factory.cpp
 
 
operator_factory.hpp
operator_factory.hpp
 
 
operator_fft.cpp
operator_fft.cpp
 
 
operator_fft.hpp
operator_fft.hpp
 
 
operator_gauss.cpp
operator_gauss.cpp
 
 
operator_gauss.hpp
operator_gauss.hpp
 
 
operator_id.hpp
operator_id.hpp
 
 
operator_impl.hpp
operator_impl.hpp
 
 
operator_inversion.cpp
operator_inversion.cpp
 
 
operator_inversion.hpp
operator_inversion.hpp
 
 
operator_lattice.cpp
operator_lattice.cpp
 
 
operator_lattice.hpp
operator_lattice.hpp
 
 
operator_list.cpp
operator_list.cpp
 
 
operator_list.hpp
operator_list.hpp
 
 
operator_merge.cpp
operator_merge.cpp
 
 
operator_merge.hpp
operator_merge.hpp
 
 
operator_modulate.cpp
operator_modulate.cpp
 
 
operator_modulate.hpp
operator_modulate.hpp
 
 
operator_mult.cpp
operator_mult.cpp
 
 
operator_mult.hpp
operator_mult.hpp
 
 
operator_pixmap.cpp
operator_pixmap.cpp
 
 
operator_pixmap.hpp
operator_pixmap.hpp
 
 
operator_polygon.cpp
operator_polygon.cpp
 
 
operator_polygon.hpp
operator_polygon.hpp
 
 
operator_pow.cpp
operator_pow.cpp
 
 
operator_pow.hpp
operator_pow.hpp
 
 
operator_powder.cpp
operator_powder.cpp
 
 
operator_powder.hpp
operator_powder.hpp
 
 
operator_split.cpp
operator_split.cpp
 
 
operator_split.hpp
operator_split.hpp
 
 
operator_sum.cpp
operator_sum.cpp
 
 
operator_sum.hpp
operator_sum.hpp
 
 
operator_view.cpp
operator_view.cpp
 
 
operator_view.hpp
operator_view.hpp
 
 
operator_wave.cpp
operator_wave.cpp
 
 
operator_wave.hpp
operator_wave.hpp
 
 
scene.cpp
scene.cpp
 
 
scene.hpp
scene.hpp
 
 
scramble.hpp
scramble.hpp
 
 
scramble_impl.hpp
scramble_impl.hpp
 
 

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XFFT

XFFT (where X stands for crystal and FFT for Fast Fourier Transform), is a small GUI program intended to demonstrate properties of the Fourier transform (FT) interactively in introductory crystallography courses.

Two-dimensional data (polygons, pictures, lattices, Gaussian distributions) are transformed by a combination of operators (FT, convolution, addition, multiplication) and the results are ultimately displayed. Thus, numerous phenomena, such as truncation ripples, can be demonstrated interactively.

The sofware features full undo and load/save support and a multi-document interface.

This software is based on Qt and FFTW and is licensed under version 2 of the GPL. A handful of icons were adapted from the Breeze KDE theme.

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An interactive program to play with the two-dimensional Fourier transform

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GPL-2.0 license
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v1.1 Latest
Sep 24, 2023

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