TY - GEN
T1 - Joint estimation of spherical harmonic coefficients from magnitude diffusion-weighted images with sparsity constraints
AU - Lam, Fan
AU - Zhao, Bo
AU - Liang, Zhi-Pei
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/7/21
Y1 - 2015/7/21
N2 - This paper presents a new method to jointly estimate the spherical harmonic coefficients for all the voxels from noisy magnitude diffusion-weighted images acquired in high angular resolution diffusion imaging. The proposed method uses a penalized maximum likelihood estimation formulation that integrates a noncentral χ distribution based noisy data model, a sparsity promoting penalty on the spherical harmonic coefficients and a joint sparse regularization on the diffusion-weighted image series. An efficient algorithm based on majorize-minimize and alternating direction method of multipliers is proposed to solve the resulting optimization problem. The performance of the proposed method has been evaluated using simulated and experimental data, which demonstrate the improvement over conventional methods in terms of estimation accuracy.
AB - This paper presents a new method to jointly estimate the spherical harmonic coefficients for all the voxels from noisy magnitude diffusion-weighted images acquired in high angular resolution diffusion imaging. The proposed method uses a penalized maximum likelihood estimation formulation that integrates a noncentral χ distribution based noisy data model, a sparsity promoting penalty on the spherical harmonic coefficients and a joint sparse regularization on the diffusion-weighted image series. An efficient algorithm based on majorize-minimize and alternating direction method of multipliers is proposed to solve the resulting optimization problem. The performance of the proposed method has been evaluated using simulated and experimental data, which demonstrate the improvement over conventional methods in terms of estimation accuracy.
KW - joint sparsity
KW - majorize-minimize
KW - noncentral χ distribution
KW - penalized maximum likelihood estimation
KW - sparse regularization
KW - spherical harmonic representation
UR - http://www.scopus.com/inward/record.url?scp=84944318012&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84944318012&partnerID=8YFLogxK
U2 - 10.1109/ISBI.2015.7164027
DO - 10.1109/ISBI.2015.7164027
M3 - Conference contribution
AN - SCOPUS:84944318012
T3 - Proceedings - International Symposium on Biomedical Imaging
SP - 947
EP - 950
BT - 2015 IEEE 12th International Symposium on Biomedical Imaging, ISBI 2015
PB - IEEE Computer Society
T2 - 12th IEEE International Symposium on Biomedical Imaging, ISBI 2015
Y2 - 16 April 2015 through 19 April 2015
ER -