Digital Image Processing
Digital Image Processing
Digital Image Processing
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미분 연산자(Derivative Operators)<br />
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미분 연산자(Derivative Operators)<br />
1차 미분연산자(First-order derivative operators)<br />
• (x,y) 위치에서의 영상 f(x,y)의 기울기(gradient)는<br />
⎡∂f<br />
⎤<br />
⎡G<br />
x ⎤ ⎢∂x<br />
⎥<br />
∇f<br />
= ⎢ ⎥ = ⎢ ⎥<br />
⎢G<br />
⎥ ⎢∂<br />
⎣ y<br />
f<br />
⎦ ⎥<br />
⎢⎣<br />
∂y<br />
⎥⎦<br />
• 기울기의크기값은<br />
∇f = mag( ∇f<br />
) = G<br />
2 2<br />
x<br />
+ G<br />
y<br />
or | G x | + | Gy<br />
|<br />
• (x,y) 위치에서의 영상의 기울기를 α(x,y)라고 하면<br />
G<br />
α(<br />
x,<br />
y)<br />
= tan<br />
−1<br />
(<br />
G<br />
26/46<br />
y<br />
x<br />
)
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