dwidenoise enhancements list

[Lestropie]

There have been multiple potential enhancements to dwidenoise discussed. While there may be additional ideas for improving denoising that may be kept private as research developments, this list is items that are hopefully acceptable for public listing for the purpose of participant recruitment.

• Evaluate demeaning: dwidenoise: Add option -demean #2363
  Use of single-precision floating-point with an imprecise decomposition algorithm can lead to artifacts in noise estimation & rank selection. One potential solution proposed some time ago was to explicitly demean the signal, storing that mean as a signal component to be included in the output series. Doing so however necessitates ensuring that the rank estimation does not become biased.

• Alternative decomposition: dwidenoise: try using bidiagonal divide and conquer SVD #2906
  Simply changing the decomposition used from the Eigen library may improve precision, though at the cost of computation time. This should ideally be evaluated across multiple use cases.

• Modify rank estimation: dwidenoise: Modified rank estimation #2591
  May be possible to directly translate the modified estimators from externally published work to the MRtrix3 implementation. Would need to contrast against the existing modification of @jelleveraart's estimator as "Exp2".

• Facilitate two-pass approach: ENH dwidenoise: Two-pass approach #2274
  This could be used to stabilise against outliers in noise level estimation. It could also be used in pipelines that explicitly separate between the estimation of corrections to be applied vs. the application of those corrections.
  This would be expedited for higher-level workflows by New command dwi2noise #3035.

• Spherical kernel: ENH dwidenoise: Spherical kernel #2742
  Already published; having implemented would reduce issues around kernel size selection, and could also be used to mitigate against issues of kernel size / independence at FoV extremities.

• Handle >4D data: ENH dwidenoise: Support >4D data #3021
  Would make the method more amenable in particular to multi-echo fMRI data.

• Soft component thresholding: ENH dwidenoise: Soft component thresholding #3022
  Would mitigate quantisation effects due to a component being just above vs. just below the MP distribution cutoff. May improve denoising of datasets with a very small number of volumes.

• Overcomplete local PCA: ENH dwidenoise: Overcomplete local PCA #3024
  Makes output reconstructed DWI volumes a weighted sum of the results of multiple decompositions, rather than being dependent on the single PCA rank reduction at that voxel.

• Subsampling: ENH dwidenoise: Subsampling #3034
  Reduce the total number of SVDs to be performed by reconstructing the low-rank signal for multiple output image voxels from a single patch.

Also:

• Build dataset of exemplar series for denoising efficacy evaluation
  Sometimes we hear about a particular dataset where the denoising performs poorly. We're also now using this method for multi-echo fMRI data in addition to DWI data. So it would be good to start building a dataset of different acquisitions of different quality, so that methods and heuristics can be refined to try to make the implementation robust against such variation, or to provide instructions on recommended settings in different scenarios.
  Edit: New Issue: dwidenoise exemplar database #3036.