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        <title>【数値情報処理b】第2回 輪郭抽出 - [Sobelフィルタ] </title>
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        <description>【数値情報処理b】第2回 輪郭抽出

画像処理で輪郭を抽出することを輪郭抽出（エッジ抽出）という。

画像で輪郭というと物体と物体の境目、あるいは物体と背景の境目である。
画像の濃度や色に急な変化があるところが輪郭に見えることを利用して、輪郭を抽出する。$f$$x$$y$$(x,y)$$g$$f$$(g*f)(x,y)$\[
(g*f)(x,y)=\sum_{i=1}^{3}\sum_{j=1}^{3}g(x+i-2,y+j-2)f(i,j)
\]\begin{align*}
\small
&amp;=\ \ g(x-1,y-1)f(1,1)&amp;&amp;+g(x,y-1)f(2,1)&amp;&amp;+g(x+1,y-1)f(3,1)\\
&amp;\ \ \ +g(x-1,y\ \ \ \ \ \ \ )f(1,2)&amp;&amp;+g(x,y\ \ \ \ \ \ \ )f(2,2)&amp;&amp;+g(x+1,y\ \ \ \ \ \ \ )f(3,2)\\
&amp;\ \ \ +g(x-1,y+1)f(1,3)&amp;&amp;+g(x,y+1)f(2,3)&amp;&amp;+g(x+1,y+1)f(3,3)
\end{align*}$f(i,j)$$f$$g(x,y)$…</description>
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        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>writer_justification.png</title>
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        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>euler.png - 作成</title>
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        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>euler_n50.png - 削除</title>
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        <dc:date>2026-05-20T06:02:34+00:00</dc:date>
        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>euler_n40.png - 作成</title>
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        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>rk_n10.png - 作成</title>
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        <dc:date>2026-05-20T06:00:36+00:00</dc:date>
        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>euler_n20.png - 作成</title>
        <link>http://10.8.1.3/class/doku.php?image=numericalipa%3Aeuler_n20.png&amp;ns=numericalipa&amp;rev=1779256836&amp;tab_details=history&amp;media_do=diff&amp;do=media</link>
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        <dc:format>text/html</dc:format>
        <dc:date>2026-05-20T06:00:36+00:00</dc:date>
        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>euler_n10.png - 作成</title>
        <link>http://10.8.1.3/class/doku.php?image=numericalipa%3Aeuler_n10.png&amp;ns=numericalipa&amp;rev=1779256836&amp;tab_details=history&amp;media_do=diff&amp;do=media</link>
        <description>&lt;img src=&quot;http://10.8.1.3/class/lib/exe/fetch.php?w=500&amp;amp;h=500&amp;amp;tok=50e6d6&amp;amp;media=numericalipa:euler_n10.png&quot; alt=&quot;euler_n10.png&quot; loading=&quot;lazy&quot; width=&quot;500&quot; height=&quot;500&quot; /&gt;</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2026-05-20T05:59:27+00:00</dc:date>
        <dc:creator>yuki (yuki@undisclosed.example.com)</dc:creator>
        <title>parabola.png</title>
        <link>http://10.8.1.3/class/doku.php?image=numericalipa%3Aparabola.png&amp;ns=numericalipa&amp;rev=1779256767&amp;tab_details=history&amp;media_do=diff&amp;do=media</link>
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