Image Restoration / Filtering in Frequency Domain
Image Restoration / Filtering in Frequency Domain
Image Restoration / Filtering in Frequency Domain
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Lowpass <strong>in</strong> <strong>Frequency</strong> Doma<strong>in</strong><br />
v u<br />
Ideal lowpass filter:<br />
1,<br />
H(<br />
u,<br />
v)<br />
<br />
0,<br />
if<br />
if<br />
D(<br />
u,<br />
v)<br />
D<br />
D(<br />
u,<br />
v)<br />
D<br />
Buterworth lowpass filter:<br />
1<br />
n(<br />
u,<br />
v)<br />
<br />
1[<br />
D(<br />
u,<br />
v) / D0]<br />
H<br />
2n<br />
0<br />
0<br />
D(u,v)<br />
Gaussian lowpass filter:<br />
<br />
2<br />
2<br />
D ( u,<br />
v) / 2<br />
;<br />
<br />
0<br />
H( u,<br />
v)<br />
exp<br />
D