Diffusion MRI registration using orientation distribution functions.
We propose a linear-elastic registration method to register diffusion-weighted MRI (DW-MRI) data sets by mapping their diffusion orientation distribution functions (ODFs). The ODFs were reconstructed using a q-ball imaging (QBI) technique to resolve intravoxel fiber crossing. The registration method is based on mapping the ODF maps represented by spherical harmonics which yield analytic solutions and reduce the computational complexity. ODF reorientation is required to maintain the consistency with transformed local fiber directions. The reorientation matrices are extracted from the local Jacobian and directly applied to the coefficients of spherical harmonics. The similarity cost of the registration is defined by the ODF shape distance calculated from the spherical harmonic coefficients. The transformation fields are regularized by linear elastic constraints. The proposed method was validated using both synthetic and real data sets. Experimental results show that the elastic registration improved the affine alignment by further reducing the ODF shape difference; reorientation during the registration produced registered ODF maps with more consistent principle directions compared to registrations without reorientation or simultaneous reorientation.
Geng
Xiujuan
X
National Institute on Drug Abuse, NIH, USA. gengx@mail.nih.gov
Ross
Thomas J
TJ
Zhan
Wang
W
Gu
Hong
H
Chao
Yi-Ping
YP
Lin
Ching-Po
CP
Christensen
Gary E
GE
Schuff
Norbert
N
Yang
Yihong
Y
D000465:Algorithms; D001185:Artificial Intelligence; D001921:Brain / Q000033:anatomy & histology*; D038524:Diffusion Magnetic Resonance Imaging / Q000379:methods*; D006801:Humans; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D009413:Nerve Fibers, Myelinated / Q000648:ultrastructure*; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013382:Subtraction Technique
IEEE Trans Med Imaging. 2007 Jun;26(6):772-8
17679328
Inf Process Med Imaging. 2007;20:308-19
17633709
J Magn Reson B. 1996 Jun;111(3):209-19
8661285
IEEE Trans Med Imaging. 2001 Nov;20(11):1131-9
11700739
Magn Reson Med. 2004 Dec;52(6):1358-72
15562495
Inf Process Med Imaging. 2007;20:172-82
17633698
Biophys J. 2006 Aug 1;91(3):1014-22
16679361
IEEE Trans Med Imaging. 2007 Nov;26(11):1585-97
18041273
Magn Reson Med. 2006 Jul;56(1):104-17
16755539