How can we decompose any image (e.g. medical image, satellite image) into high- frequency and low-frequency parts by using a bilateral filter?
$\begingroup$
$\endgroup$
2
-
$\begingroup$ Your question has beeen answered. Do not hesitate to vote for the useful ones and accept the most suitable $\endgroup$– Laurent DuvalCommented Feb 9, 2017 at 17:16
-
$\begingroup$ Could you please review the answers and mark one of them? $\endgroup$– RoyiCommented Mar 5, 2022 at 16:40
Add a comment
|
2 Answers
$\begingroup$
$\endgroup$
Basically, no. The bilateral filter is nonlinear. It is meant to preserve edges (local, high-frequency), while reducing noise (global, broadband). Hence, as low/high frequency separation is a concept akin to Fourier, hence quite related to linear filters, your question is unlikely to get a positive answer, without further details on what you call low/high frequency.
answered Oct 31, 2016 at 15:34
$\begingroup$
$\endgroup$
Since the Bilateral Filter is Spatial Invariant and Non Linear (The output is linear combination of the data, yet the weights depends on the data in Non Linear fashion) it can't be formulated as a Spatially Invariant Filter / Convolution.
So the Low Pass / High Pass concept in it classic form doesn't hold here.
Yet you can still employ the Image Pyramid concept here with your operator being the Bilateral filter and everything will work perfectly (Namely perfect reconstruction).
It is actually very effective.