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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 512*512*200 volumes
  • Good edge preserving properties
  • Any help to understand those methods.

Thanks

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  • $\begingroup$ 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 '14 at 18:18
  • $\begingroup$ Is there a reason you cannot do it volume-piece wise? $\endgroup$ – Tarin Ziyaee Jun 4 '14 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! $\endgroup$ – Silouane Gerin Jun 6 '14 at 8:42
  • $\begingroup$ @user4619 what do you mean? $\endgroup$ – Silouane Gerin Jun 6 '14 at 8:43
  • $\begingroup$ I mean break down the volume into smaller volumes, and filter those separately, if processing power is an issue. $\endgroup$ – Tarin Ziyaee Jun 6 '14 at 13:27
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If you can use the Bilateral Filter then you can use the Guided Filter.
The nice property of the Guided Filter is its complexity.
There is a simple and efficient implementation with with linear complexity of the number of pixels.

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