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Digital Image Processing

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Sharpening vs. Smoothing<br />

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미분 연산자(Derivative Operators)<br />

미분 연산자(Derivative Operators)<br />

• 영상의 1차 미분(first-order derivative)이나 2차 미분(secondorder<br />

derivative)을 이용하여 영상 내에 존재하는 에지 성분을<br />

검출<br />

• 1차, 2차 미분 연산을 다양한 값의 디지털 값으로 근사화<br />

• 1차 편미분 연산자(first-order partial derivative)<br />

∂f<br />

∂x<br />

=<br />

f ( x+<br />

1) − f ( x)<br />

∂f<br />

∂y<br />

=<br />

f ( y + 1) − f ( y)<br />

• 2차 편미분 연산자(second-order partial derivative)<br />

∂<br />

2<br />

f<br />

= f ( x+<br />

1) + f ( x−1)<br />

− 2 f ( x)<br />

∂x<br />

2<br />

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