SR-HARDI: Spatially Regularizing High Angular Resolution Diffusion Imaging.

TitleSR-HARDI: Spatially Regularizing High Angular Resolution Diffusion Imaging.
Publication TypeJournal Article
Year of Publication2016
AuthorsRao, Shangbang, Joseph G. Ibrahim, Jian Cheng, Pew-Thian Yap, and Hongtu Zhu
JournalJ Comput Graph Stat
Volume25
Issue4
Pagination1195-1211
Date Published2016
ISSN1061-8600
Abstract

High angular resolution diffusion imaging (HARDI) has recently been of great interest in mapping the orientation of intra-voxel crossing fibers, and such orientation information allows one to infer the connectivity patterns prevalent among different brain regions and possible changes in such connectivity over time for various neurodegenerative and neuropsychiatric diseases. The aim of this paper is to propose a penalized multi-scale adaptive regression model (PMARM) framework to spatially and adaptively infer the orientation distribution function (ODF) of water diffusion in regions with complex fiber configurations. In PMARM, we reformulate the HARDI imaging reconstruction as a weighted regularized least-squares regression (WRLSR) problem. Similarity and distance weights are introduced to account for spatial smoothness of HARDI, while preserving the unknown discontinuities (e.g., edges between white matter and grey matter) of HARDI. The penalty function is introduced to ensure the sparse solutions of ODFs, while a scaled weighted estimator is calculated to correct the bias introduced by the penalty at each voxel. In PMARM, we integrate the multiscale adaptive regression models (Li et al., 2011), the propagation-separation method (Polzehl and Spokoiny, 2000), and Lasso (least absolute shrinkage and selection operator) (Tibshirani, 1996) to adaptively estimate ODFs across voxels. Experimental results indicate that PMARM can reduce the angle detection errors on fiber crossing area and provide more accurate reconstruction than standard voxel-wise methods.

DOI10.1080/10618600.2015.1105750
Alternate JournalJ Comput Graph Stat
Original PublicationSR-HARDI: Spatially regularizing high angular resolution diffusion imaging.
PubMed ID27974868
PubMed Central IDPMC5152949
Grant ListUL1 TR001111 / TR / NCATS NIH HHS / United States
UL1 TR002489 / TR / NCATS NIH HHS / United States
R01 MH086633 / MH / NIMH NIH HHS / United States
R01 GM070335 / GM / NIGMS NIH HHS / United States
T32 CA106209 / CA / NCI NIH HHS / United States
P01 CA142538 / CA / NCI NIH HHS / United States
R01 EB020426 / EB / NIBIB NIH HHS / United States
T32 MH106440 / MH / NIMH NIH HHS / United States
UL1 RR025747 / RR / NCRR NIH HHS / United States
TL1 TR001110 / TR / NCATS NIH HHS / United States
R01 CA074015 / CA / NCI NIH HHS / United States
Project: