Design a LoG (Laplacian of gaussian) $1 \times5$ filter with sigma $=2$.
Formula to calculate LoG:
$$\text{LoG}(x,y) \;=\; - \frac1{\pi\sigma^4}\left[1-\frac{x^2+y^2}{2\sigma^2}\right]e^{-\frac{x^2+y^2}{2\sigma^2}}$$
I am given this formula for LoG, however i am not sure how to create a $1 \times5$ filter from this?
Do i just need to plug in $x=1$ and $y=5$? with sigma 2