Title
Complex diffusion-weighted image estimation via matrix recovery under general noise models.
Abstract
We propose a patch-based singular value shrinkage method for diffusion magnetic resonance image estimation targeted at low signal to noise ratio and accelerated acquisitions. It operates on the complex data resulting from a sensitivity encoding reconstruction, where asymptotically optimal signal recovery guarantees can be attained by modeling the noise propagation in the reconstruction and subsequently simulating or calculating the limit singular value spectrum. Simple strategies are presented to deal with phase inconsistencies and optimize patch construction. The pertinence of our contributions is quantitatively validated on synthetic data, an in vivo adult example, and challenging neonatal and fetal cohorts. Our methodology is compared with related approaches, which generally operate on magnitude-only data and use data-based noise level estimation and singular value truncation. Visual examples are provided to illustrate effectiveness in generating denoised and debiased diffusion estimates with well preserved spatial and diffusion detail.
Year
DOI
Venue
2019
10.1016/j.neuroimage.2019.06.039
NeuroImage
Keywords
Field
DocType
Diffusion weighted imaging,Rician bias,Random matrix denoising,Optimal shrinkage,Asymptotic risk
Truncation,Singular value,Matrix (mathematics),Computer science,Signal-to-noise ratio,Algorithm,Image estimation,Complex data type,Asymptotically optimal algorithm,Encoding (memory)
Journal
Volume
ISSN
Citations 
200
1053-8119
16
PageRank 
References 
Authors
0.64
0
5
Name
Order
Citations
PageRank
Lucilio Cordero-Grande114016.15
Daan Christiaens22129.23
Jana Hutter3725.99
Anthony N Price425315.32
Jo Hajnal51796119.03