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| '''[[Fast Fourier transform|Fourier Representation]]'''
| '''[[Fast Fourier transform|Fourier Representation]]'''
| Pseudo-code:
| MATLAB Script:


img=checkerboard(size);
image = checkerboard


F = Fourier Transform of image
F=fft2(img);


Show Image: log(1+Absolute Value(F))
F=fftshift(F);

imshow(log(1+abs(F)))


| align="center"| [[File:Fourier Space Checkerboard.png]]
| align="center"| [[File:Fourier Space Checkerboard.png]]
|-
|-
| '''Fourier Lowpass'''
| '''Fourier Lowpass'''
| [[File:Lowpass_Butterworth_Checkerboard.png]]
| align="center"| [[File:Lowpass_Butterworth_Checkerboard.png]]
| [[File:Lowpass_FFT_Filtered_checkerboard.png]]
| align="center"| [[File:Lowpass_FFT_Filtered_checkerboard.png]]
|-
|-
| '''Fourier Highpass'''
| '''Fourier Highpass'''
| [[File:Highpass_Butterworth_Checkerboard.png]]
| align="center"| [[File:Highpass_Butterworth_Checkerboard.png]]
| [[File:Highpass_FFT_Filtered_checkerboard.png]]
| align="center"| [[File:Highpass_FFT_Filtered_checkerboard.png]]
|-
|-
|}
|}

Latest revision as of 19:31, 30 April 2017


Filter type Kernel or mask Example
Original Image
Spatial Lowpass
Spatial Highpass
Fourier Representation Pseudo-code:

image = checkerboard

F = Fourier Transform of image

Show Image: log(1+Absolute Value(F))

Fourier Lowpass
Fourier Highpass

References

[edit]
  • Berger, Marcel (1987), Geometry I, Berlin: Springer, ISBN 3-540-11658-3