CODEWITHSUNDEEP
pythonnumpyimage-processingfftconvolution
Severin Spörri
Severin Spörri

Reputation: 120

How do I apply a Gauss Filter in Fourier Space?

I converted a Gauss filter, as well as an image I want to filter, into the fourier space. Are the rules of applying filters in the fourier space the same like in the image space? (e.g. just applying a convolution with np.convolve)?

Upvotes: 0

Views: 725

Answers (1)

mkrieger1
mkrieger1

Reputation: 23144

According to the Convolution theorem, convolution in image space corresponds to multiplication in Fourier space.

So in order to apply the filter, you do element-wise multiplication of the Fourier-transformed image with the Fourier-transformed filter.

The product is the Fourier-transformed filtered image. To get the filtered image in image space, you apply the inverse Fourier transform.

Upvotes: 1

Related Questions