# Questions tagged [difference-of-gaussians]

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### What is the outcome of applying a derivative on X and Y for an image? and Other Gaussian Questions

I've been diving into smoothing kernels and I came up with a lot of questions that I haven't been able to find in the internet. If you can I'd appreciate the help :) (Capitals and bold were used for ...
• 21
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### Optimal FWHM for Difference of Gaussians edge detection

When we apply a Gaussian blur to a a dataset, we set the FWHM to optimally detect specific frequencies. For example, the human cortex is around 2.5mm thick, so a blur with 2.5mm FWHM is nicely tuned ...
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### Approximating inverse of unstable difference of Gaussians filter

I am trying to invert a difference of Gaussians (DoG) filter. The inverse is not stable and so I am trying to find an approximation applied to a specific input. The DoG filter increases contrast at ...
• 21
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### Ramp function as derivative in frequency domain?

It is said that to get Laplacian of Gaussian in frequency domain, we may multiply the Fourier transform of Gaussian with two differentiating ramp function (1 ramp gives 1 order of derivative). The ...
• 135
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### Capacity loss of fast fading regarding AWGN

The theoric capacity of fast fading channel is: $$C_{\rm fading}=E\left\{\log\left(1+\lvert h \rvert^2\textrm{SNR}\right)\right\}, \quad\text{with E is expectance operator.}$$ At high SNR: \...
• 5,780
Say I have an $m\times n$ image and I want to use DOG for edge detection. I can see in this answer he is using: ...