Sobel Filter

Spober\; Filter = Blurring \; \ast \; 1D \; Derivative \; filter

\begin {pmatrix} 1 & 0 & -1 \\ 2 & 0 & -2 \\ 1 & 0 & -1 \end {pmatrix} = \begin {pmatrix} 1 \\ 2 \\ 1 \end {pmatrix} \ast \begin {pmatrix} 1 & 0 & -1 \\ \end {pmatrix}

가로성분 1d derivative 들어가니까

\begin {pmatrix} 1 & 2 & 1 \\ 0 & 0 & 0 \\ 1 & -2 & -1 \end {pmatrix} = \begin {pmatrix} 1 \\ 0 \\ -1 \end {pmatrix} \ast \begin {pmatrix} 1 & 2 & 1 \\ \end {pmatrix}

세로성분 1d derivative 들어가니까

모양때문에 이름 착각하지 말기

I_x = \frac{\partial I}{\partial x}

I_y = \frac{\partial I}{\partial y}