I'm searching for a method that can smooth a 3D volume whilst preserving the edges in my volume.

I researched anisotropic diffusion filtering and bilateral filtering, but I'm having trouble to evaluate if they can be efficiently used on +30M voxels volumes.

So I need:

  • Relatively fast algorithm even with 512512200 volumes
  • Good edge preserving properties
  • Any help to understand those methods.


  • $\begingroup$ Most edge-preserving smoothing algorithms are based around minimizing total variation of the signal. I think it should work for 3D signal as well. Perhaps a good place to start looking. $\endgroup$
    – Phonon
    Jun 4, 2014 at 18:18
  • $\begingroup$ Is there a reason you cannot do it volume-piece wise? $\endgroup$ Jun 4, 2014 at 21:26
  • $\begingroup$ @Phonon seems a good for what I want to do. I found few hours after I asked this question, an article in the book Multi Modality State-of-the-Art Medical Image Segmentation and Registration Methodologies: Volume 1 a methodology with goals very similar to mine and they used a 3D anisotropic diffusion filter. I'm going to try that for the moment but i'll definitely check on your suggestion. Thanks! $\endgroup$ Jun 6, 2014 at 8:42
  • $\begingroup$ @user4619 what do you mean? $\endgroup$ Jun 6, 2014 at 8:43
  • $\begingroup$ I mean break down the volume into smaller volumes, and filter those separately, if processing power is an issue. $\endgroup$ Jun 6, 2014 at 13:27

1 Answer 1


If you can use the Bilateral Filter then you can use the Guided Filter.
The nice property of the Guided Filter is its low complexity.
There is a simple and efficient implementation with with linear complexity of the number of pixels.

You may also have a look at:


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