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The gaussian function, an exponential function with a negative square of the argument in the exponent, is interesting in signal processing because the Fourier Transform of a gaussian function is also a gaussian function.

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What is the relationship between the sigma in the Laplacian of Gaussian and the two sigmas i...

I understand that a Laplacian-of-Gaussian filter can be approximated by a Difference-of-Gaussians filter, and that the ratio of the two sigmas for the latter should be 1:1.6 for the best approximation. … However, I'm not sure how the two sigmas in the Difference of Gaussians relates to the sigma for the Laplacian of Gaussian. Is the smaller sigma in the former equal to the sigma of the latter? …
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