Hyperspherical von Mises-Fisher Mixture (HvMF) Modelling of High Angular Resolution Diffusion MRI

Abhir Bhalerao, C.-F. Westin
Tenth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI '07)
Volume 4791, Pages 236-243
November, 2007

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Abstract

A mapping of unit vectors onto a 5D hypersphere is used to model and partition ODFs from HARDI data. This mapping has a number of useful and interesting properties and we make a link to interpretation of the second order spherical harmonic decompositions of HARDI data. The paper presents the working theory and experiments of using a von Mises-Fisher mixture model for directional samples. The MLE of the second moment of the HvMF pdf can also be related to fractional anisotropy. We perform error analysis of the estimation scheme in single and multi-fibre regions and then show how a penalised-likelihood model selection method can be employed to differentiate single and multiple fibre regions.

Model selection by AIC on HvMF mixtures: (a) Single tensor estimates in small region on white-matter/CSF boundary; (b) HvMF estimates in same boundary region as in (a)

Reference

Bhalerao A, Westin CF. Hyperspherical von mises-fisher mixture (hvmf) modelling of high angular resolution diffusion mri. In Tenth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI '07), volume 4791 of Lecture Notes in Computer Science. Brisbane, Australia, 2007;236-243.

Bibtex entry

@InProceedings{bhaleraoMICCAI07,
  author         = "Abhir Bhalerao and Carl-Fredrik Westin",                   
  title          = "Hyperspherical von Mises-Fisher Mixture (HvMF) Modelling of
                   High Angular Resolution Diffusion MRI",                     
  booktitle      = "Tenth International Conference on Medical Image Computing  
                   and Computer-Assisted  Intervention (MICCAI '07)",          
  month          = "November",                                                 
  year           = "2007",                                                     
  volume         = {4791},                                                     
  series         = "Lecture Notes in Computer Science",                        
  pages          = "236--243",                                                 
  address        = "Brisbane, Australia"}

Grants

NIH R01-MH074794