The Scharr Image Filter Kernel.

The Scharr Image Filter Kernel.

This kernel produces two output planes (one can be omitted) in the x and y plane. The Scharr operators \(G_x, G_y\) are defined as:

\[ \mathbf{G}_x=\begin{vmatrix} -3 & 0 & +3\\ -10& 0 & +10\\ -3 & 0 & +3 \end{vmatrix} , \mathbf{G}_y=\begin{vmatrix} -3 & -10 & -3 \\ 0 & 0 & 0 \\ +3 & +10 & +3 \end{vmatrix} \]