Separable normalized gaussian kernel

1. Is Gaussian kernel separable?
2. What is a separable kernel?
3. What is a separable filter kernel?
4. Is Gaussian blur separable?

Is Gaussian kernel separable?

Kernel size must increase with increasing σ to maintain the Gaussian g nature of the filter. Gaussian kernel is separable, which allows fast computation.

What is a separable kernel?

A separable kernel gives separate control of the frequency-smoothing and time-smoothing of the WVD which is an improvement over the spectrogram which does not have flexibility to independently adjust smoothing along the time and/or the frequency axis [62].

What is a separable filter kernel?

What is a separable filter? A two-dimensional filter kernel is separable if it can be expressed as the outer product of two vectors. For example, let's look at a Sobel kernel.

Is Gaussian blur separable?

Just like a box blur, a Gaussian blur is separable which means that you can either apply a 2d convolution kernel, or you can apply a 1d convolution kernel on each axis. Doing a single 2d convolution means more calculations, but you only need one buffer to put the results into.