# Convolution of multiple gaussian filters with different sizes

What is the size of the final filter after implement convolution of multiple gaussian filters with different sizes?

• An easy way to find put the exact answer is to tale the Fourier transform which will turn the convolution into a multiplication. Furthermore you can find the expression for the Gaussian Fourier transform. Then perform the multiplication and backtransform. – lightxbulb Feb 20 '20 at 5:04
• Wasn't this answered here? computergraphics.stackexchange.com/a/258/209 – Simon F Feb 20 '20 at 11:10