Image registration of satellite images

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2D Fourier transform
2D Fourier transform is separable
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Visualisation
Amplitude Phase
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Basis functions of 2D FT
Real part, uv
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Rectangular pulse in 2D
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Other important functions
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Discrete convolution theorem
... holds for periodic convolution only!
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Discrete convolution via FT
Zero padding to the same size DFT calculation of
both Multiplication of the spectra Inverse DFT
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Filtering in the Fourier domain
high pass
Gaussian high pass
band pass
low pass
Gaussian low pass
directional
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Discrete shift theorem
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What is more important? Amplitude or phase?
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Image whitening
original image
whitened image