> I'm just getting interested in image processing
and was reading up
> about scale spaces. If anyone is familiar with the discipline I have a
> question. What's the correct way to go about creating a gaussian scale
> space? The process of the correct way to apply the gaussian filter to a
> digital image is where I'm initially having trouble.
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Reply by Donato Richardson●June 5, 20092009-06-05
I'm just getting interested in image processing and was reading up about
scale spaces. If anyone is familiar with the discipline I have a question.
What's the correct way to go about creating a gaussian scale space? The
process of the correct way to apply the gaussian filter to a digital image is
where I'm initially having trouble. The digital image is discrete, and the
gaussian filter operates on a continuous function. I've read that
it's improper to simply sample the gaussian at various points that
correspond to the discrete points and perform the convolution discretely.
It's been mentioned that the modified Bessel function is the correct
discrete analogue to the continuous gaussian. My other alternative is to
interpolate the digital image in some fashion (bicubic, etc.) and then apply the
gaussian to the result of that. However, once again, I've read that doing
that is also improper.
Does anyone know what I'm talking about and if so, how should I go about
creating a gaussian scale space from a digital image?