Multi-fiber Reconstruction from DW-MRI Using a Continuous Mixture of Hyperspherical von Mises-Fisher Distributions

  • Authors:

  • Ritwik Kumar;Baba C. Vemuri;Fei Wang;Tanveer Syeda-Mahmood;Paul R. Carney;Thomas H. Mareci

  • Affiliations:

  • Dept. of CISE, University of Florida, Gainesville, USA;Dept. of CISE, University of Florida, Gainesville, USA;IBM Almaden Research Center, San Jose, USA;IBM Almaden Research Center, San Jose, USA;Dept. of Pediatrics, University of Florida, Gainesville, USA;Dept. and Molecular Biology, University of Florida, Gainesville, USA

  • Venue:
  • IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
  • Year:
  • 2009

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Abstract

Multi-fiber reconstruction has attracted immense attention lately in the field of diffusion weighted MRI analysis. Several mathematical models have been proposed in literature but there is still scope for improvement. The key issues of importance in multi-fiber reconstruction are, fiber detection accuracy, robustness to noise and computational efficiency. To this end, we propose a novel mathematical model for representing the MR signal attenuation in the presence of multiple fibers at a single voxel and estimate the parameters of this model given the diffusion weighted MRI data. Our model for the diffusion MR signal consists of a continuous mixture of Hyperspherical von Mises-Fisher distributions. Being a continuous mixture, our model does not require the specification of the number of mixture components. We present a closed form expression for this continuous mixture that leads to a computationally efficient implementation. To validate our model we present extensive results on both synthetic and real data (human and rat brain) and demonstrate that even in presence of noise, our model clearly outperforms the state-of-the-art methods in fiber orientation estimation while maintaining a substantial computational advantage.