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

CC BY-SA 4.0
2020-02-20T05:04:24.243Z
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
CC BY-SA 4.0
2020-02-20T11:10:16.053Z
Wasn't this answered here? https://computergraphics.stackexchange.com/a/258/209
Simon F
<image-processing><filtering>
Convolution of multiple gaussian filters with different sizes
Mingjun Zhu
# Convolution of multiple gaussian filters with different sizes

(Asked by: username_0 on 2020-02-19)

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

**Tags:** image-processing, filtering

> **Comments:**
> **username_1**: 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.  
> **username_2**: Wasn't this answered here? https://computergraphics.stackexchange.com/a/258/209  

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