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Image Restoration / Filtering in Frequency Domain

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<strong>Restoration</strong> <strong>in</strong> <strong>Frequency</strong> Doma<strong>in</strong><br />

g<br />

<br />

Hf<br />

η<br />

Problem: to <strong>in</strong>verse H<br />

Constra<strong>in</strong>ed Least Squares method<br />

C<br />

<br />

2<br />

<br />

2<br />

f ( x,<br />

y)<br />

smoothness m<strong>in</strong>imum .<br />

<strong>Frequency</strong> Doma<strong>in</strong> Solution:<br />

H ( u,<br />

v)*<br />

<br />

F' ( u,<br />

v)<br />

<br />

G(<br />

u,<br />

v)<br />

2 2<br />

<br />

H ( u,<br />

v)<br />

P(<br />

u,<br />

v)<br />

<br />

0<br />

p(<br />

x,<br />

y)<br />

<br />

<br />

<br />

1<br />

<br />

0<br />

1<br />

4<br />

1<br />

0<br />

1<br />

<br />

<br />

laplac<strong>in</strong> mask<br />

0

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