Confused about 1D log Gabor I am doing offline signature verification for my project. While researching online I found that tha 1D log Gabor method can be used to find Hamming distance of an image. I got stuck in understanding 1D log Gabor. Wikipedia have some information. My question is how can we find the value of $f$, $f_0$ and $\sigma$ of an image given in Wikipedia 1D formula ? 

Here is the link where I got idea about log Gabor can be one method for verification.
You're misunderstanding:


Wikipedia describes $G(f)$, the frequency response of the Log-Gabor filter. So you don't "find" $f$, it's your free variable.
$f_0$ and $\sigma$ are parameters of your filter, which you chose to maximize the "distinguishability" of "different" pictures. You need to come up with what "different" and "similar" means for you, and then you can optimize these parameters to make the Gabor transform of picture reflect these definitions. Notice that this is totally dependent on the image content and application you're doing.