Signal Processing Stack Exchange is a question and answer site for practitioners of the art and science of signal, image and video processing. It only takes a minute to sign up.
Sign up to join this community
I was reading a paper and came across this:
I'd like to implement this in matlab, therefore I initially searched for a premade implementation. I stumbled upon this: http://www.mathworks.com/matlabcentral/fileexchange/5237-2d-gabor-filterver123 . Though they use a different equation. My question now is: what is the difference between this equation and the one from the paper I read ?
Both equations are related by Euler's formula: http://en.wikipedia.org/wiki/Euler%27s_formula They are mathematically equivalent, it's well explained on the Wikipedia page.
In a practical point of view, $\cos(x)+i\sin(x)$ allows for easy separation of real and imaginary. On the other hand, $\exp(ix)$ makes it easier to deal with Gaussian since $\exp(x)\cdot\exp(y)=\exp(x+y)$.
Hope this helps!
