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If the standard form of a Gabor function is as follows,

$$ g_{\lambda, \theta,\varphi, \sigma,\gamma}(x, y)=\exp\left(-\frac{x'^2+\gamma^2y'^2}{2\sigma^2}\right)\cos\left(2\pi\frac{x'}{\lambda}+\varphi\right)$$

where $$ x'=x\cos\theta+y\sin\theta\\ y'=-x\sin\theta+y\cos\theta$$ How can I find the Center Frequency from this equation?

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  • $\begingroup$ That is only the real part of a Gabor filter. Is that what you actually meant or did you forget the imaginary one? $\endgroup$ – Tendero May 28 '16 at 13:30
  • $\begingroup$ @Tendero, I am actually working with crack detection algorithms. So, I am trying to implement a Gabor Filter Bank. I am seeing that this guy youtube.com/watch?v=-NZakhhB_Do is only real part. So, I understood that the real part is only what I need. What do you say? $\endgroup$ – user18425 May 28 '16 at 16:11
  • $\begingroup$ I was just checking that you hadn't forgotten about the imaginary one, just that $\endgroup$ – Tendero May 28 '16 at 16:16
  • $\begingroup$ @Tendero, this is related dsp.stackexchange.com/questions/31061/… $\endgroup$ – user18425 May 28 '16 at 16:44
  • $\begingroup$ @Tendero this is also related dsp.stackexchange.com/questions/31046/… $\endgroup$ – user18425 May 28 '16 at 16:47

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