Impact of Phase on Imaging [2D Fourier Transform (FFT) Animation]
Автор: meyavuz
Загружено: 2015-03-22
Просмотров: 18342
Описание:
For a follow-up animation, see: • 2D Fourier Transform Animation - Impact of...
Here, we animate the two-dimensional Fourier transform and impact of the phase information as applied to two images from two nice cities in the world. The first image is from Istanbul showing the Bosphorus Strait and the other one from Kotor, Montenegro. The animation uses MATLAB.
We first take the 2D FFT of each image and show their spectral information in amplitude and phase. The phase info here is unwrapped for visualization and comparison purposes. Then, while the amplitudes are kept fixed, we gradually swap the phases and take the inverse Fourier transform and watch how the images are changing. Once the phases are completely swapped, we observe that the resulting images are swapped albeit some distortions. This shows the importance of the phase information over the amplitude information. Although the amplitudes are modified, it is still possible to extract the images as long as the phase information can be safely extracted.
Keywords:
FFT, 2D FFT, Fourier Transform, imaging, phase, amplitude
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