remove impulse noise in frequency domain

I know that the best way for removing impulse is using median filter or some other spatial domains . but Is there any way to remove impulse noise like salt and pepper in frequency domain ?

Answer 1

[Image Analyst]

Same as in the spatial domain. You could use a modified median filter. First median filter the spectrum. Then subtract it from the original to get a more or less flat image with spikes. Then threshold the spikes to create a mask. Then set the masked areas to either zero or the median filtered values.

medianFilteredImage = medfilt2(spectrum);
mask = (spectrum - medianFilteredImage) > someValue;
spectrum(mask) = 0;
%spectrum(mask) = medianFilteredImage(mask); % Alternative.

Also, see attached demo.