Comparison of interpolation methods for angular resampling of diffusion weighted images

Diffusion Magnetic Resonance Imaging (DMRI) is an emerging technique permitting to visualize the neuronal architecture of brain white matter by measuring the diffusion of water molecules in tissues. A DMRI acquisition is composed of a collection of diffusion weighted images (DWIs) that characterize the diffusion property in several noncolinear directions. Resampling such acquisitions to obtain measures of diffusion in other directions is a problem that may arise when registering or comparing DWIs. In this paper, we present a comparison of several spherical interpolation schemes for DWIs. Numerical experiments are achieved on both synthetic and real data.

[1]  R. Deriche,et al.  Regularized, fast, and robust analytical Q‐ball imaging , 2007, Magnetic resonance in medicine.

[2]  Fabrice Heitz,et al.  Statistical Detection of Longitudinal Changes between Apparent Diffusion Coefficient Images: Application to Multiple Sclerosis , 2009, MICCAI.

[3]  Roland G. Henry,et al.  Whole brain voxel-wise analysis of single-subject serial DTI by permutation testing , 2008, NeuroImage.

[4]  James V. Miller,et al.  A Method for Registering Diffusion Weighted Magnetic Resonance Images , 2006, MICCAI.

[5]  J. E. Tanner,et al.  Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient , 1965 .

[6]  N. Makris,et al.  High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity , 2002, Magnetic resonance in medicine.

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

[8]  Martin D. Buhmann,et al.  Radial Basis Functions , 2021, Encyclopedia of Mathematical Geosciences.

[9]  P. Grenier,et al.  MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. , 1986, Radiology.

[10]  Larry L. Schumaker,et al.  Bernstein-Bézier polynomials on spheres and sphere-like surfaces , 1996, Comput. Aided Geom. Des..

[11]  Jerry L. Prince,et al.  Effects of diffusion weighting schemes on the reproducibility of DTI-derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T , 2007, NeuroImage.

[12]  Paul M. Thompson,et al.  Information-Theoretic Analysis of Brain White Matter Fiber Orientation Distribution Functions , 2007, IPMI.

[13]  Maria Francesca Carfora Interpolation on spherical geodesic grids: A comparative study , 2007 .