# Questions tagged [difference-of-gaussians]

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### Inequality involving zero-crossings of Difference of Gaussian and Laplacian of Gaussian

I am stuck on the following problem: Let $f$ be a smooth real function with a single inflection point and let $\sigma_1>\sigma_2>0$ be two real numbers. We denote $G_1$ and $G_2$ the associated ...
• 121
1 vote
133 views

### Unique Root of a DoG filter

I have a mathematics problem that can be related to Signal Processing. Let $f$ be a real function, striclty increasing, striclty convex on $(-\infty,0)$, strictly concave on $(0,\infty)$. We ...
• 121
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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 ...
139 views

### 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
510 views

### 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
1 vote
177 views

### 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: \...
• 6,585
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: ...