Maximum Entropy Spherical Deconvolution for Diffusion MRI

This paper proposes a maximum entropy method for spherical deconvolution. Spherical deconvolution arises in various inverse problems. This paper uses the method to reconstruct the distribution of microstructural fibre orientations from diffusion MRI measurements. Analysis shows that the PASMRI algorithm, one of the most accurate diffusion MRI reconstruction algorithms in the literature, is a special case of the maximum entropy spherical deconvolution. Experiments compare the new method to linear spherical deconvolution, used previously in diffusion MRI, and to the PASMRI algorithm. The new method compares favourably both in simulation and on standard brain-scan data.

[1]  David H. Laidlaw,et al.  Visualization and image processing of tensor fields , 2006 .

[2]  Daniel C. Alexander,et al.  An Introduction to Computational Diffusion MRI: the Diffusion Tensor and Beyond , 2006, Visualization and Processing of Tensor Fields.

[3]  D. Tuch.  Diffusion MRI of complex tissue structure , 2002 .

[4]  Timothy Edward John Behrens,et al.  Characterization and propagation of uncertainty in diffusion‐weighted MR imaging , 2003, Magnetic resonance in medicine.

[5]  Daniel C. Alexander,et al.  Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version , 2003, IPMI.

[6]  C. R. Smith,et al.  Maximum-Entropy and Bayesian Methods in Inverse Problems , 1985 .

[7]  Van J. Wedeen,et al.  Mapping Orientation Distribution Function with Spherical Encoding , 2003 .

[8]  D. Tuch.  Q‐ball imaging , 2004, Magnetic resonance in medicine.

[9]  Partha P. Mitra,et al.  Effects of Finite Gradient-Pulse Widths in Pulsed-Field-Gradient Diffusion Measurements , 1995 .

[10]  Kalvis M. Jansons,et al.  Persistent angular structure: new insights from diffusion magnetic resonance imaging data , 2003 .

[11]  Baba C. Vemuri,et al.  Fiber orientation mapping using generalized diffusion tensor imaging , 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

[12]  V. Wedeen,et al.  Mapping fiber orientation spectra in cerebral white matter with Fourier-transform diffusion MRI , 2000 .

[13]  J. Skilling,et al.  Algorithms and Applications , 1985 .

[14]  Alan Connelly,et al.  Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution , 2004, NeuroImage.

[15]  A. W. Anderson,et al.  Sub-voxel measurement of fiber orientation using high angular resolution diffusion tensor imaging , 2002 .

[16]  P. Basser,et al.  MR diffusion tensor spectroscopy and imaging. , 1994, Biophysical journal.

[17]  Dennis M. Healy,et al.  Spherical Deconvolution , 1998 .