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user 24044
In signal processing, a filter is a device or process that transforms a signal by selectively choosing specific frequencies and leaving others with appropriate gain or as it is.
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How to Prove a 2D Filter Is Separable?
I want to prove that 2D Gaussian filter is separable and we can separate it into two dimensions, my problem is about the size of filters. we should prove that $G(x,y)*I$(where $G(x,y)=$$\begin{bmatrix} … {bmatrix}0.1 & 1 & 0.1 \end{bmatrix}$ $,G(y)=$$\begin{bmatrix}0.1\\1\\ 0.1\end{bmatrix}$ and I is image. in other words we should prove that $G(x,y)=G(x)*G(y)$ but I don't know how to convolve these filters …
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