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2D Fourier transfor m. 2D Fourier transfor m is separable. Visualisation. Amplitud e Phase. B asis fun ctions of 2D FT. Real part, u=v. Rectangular pulse in 2D. Other important functions. Discrete convolution theorem. ... holds for periodic convolution only!. - PowerPoint PPT Presentation
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2D Fourier transform
2D Fourier transform is separable
Amplitude
Phase
Visualisation
Basis functions of 2D FT
Real part, u=v
Rectangular pulse in 2D
Other important functions
Discrete convolution theorem
... holds for periodic convolution only!
Zero padding to the same size
DFT calculation of both
Multiplication of the spectra
Inverse DFT
Discrete convolution via FT
Filtering in the Fourier domain
=
high pass
low pass
Gaussian high pass
Gaussian low pass
band pass
directional
Discrete shift theorem
What is more important?
Amplitude or phase?
original image “whitened” image
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