Is the discrete Gaussian kernel an eigenfunction of the DFT?

1. Is Gaussian kernel function?
2. What is Gaussian kernels?
3. What is Gaussian kernel in image processing?

Is Gaussian kernel function?

The Gaussian is a self-similar function. Convolution with a Gaussian is a linear operation, so a convolution with a Gaussian kernel followed by a convolution with again a Gaussian kernel is equivalent to convolution with the broader kernel.

What is Gaussian kernels?

The Gaussian kernel is the physical equivalent of the mathematical point. It is not strictly local, like the mathematical point, but semi-local. It has a Gaussian weighted extent, indicated by its inner scale s.

What is Gaussian kernel in image processing?

A Gaussian Filter is a low pass filter used for reducing noise (high frequency components) and blurring regions of an image. The filter is implemented as an Odd sized Symmetric Kernel (DIP version of a Matrix) which is passed through each pixel of the Region of Interest to get the desired effect.