Which approach is better or there is mathematical justification for using Bilater filter and Fourier Transform to decompose a image into High Frequency and Low Frequency Component.
Both Bilateral Filter and Fourier Transform can be used for getting High and Low Frequency component of an image.
Is one approach is better than the other or are both same in getting high and low frequency component of a image, or are they used in some particular context of image.
I know that Bilateral Filter uses range weights and Spatial weights into consideration for getting high and low frequency components.