NDLI: Dictionary Learning on the Manifold of Square Root Densities andApplication to Reconstruction of Diffusion Propagator Fields*

Content Provider	PubMed Central
Author	Sun, Jiaqi Xie, Yuchen Ye, Wenxing Ho, Jeffrey Entezari, Alireza Blackband, Stephen J. Vemuri, Baba C.
Abstract	In this paper, we present a novel dictionary learning framework for datalying on the manifold of square root densities and apply it to thereconstruction of diffusion propagator (DP) fields given a multi-shell diffusionMRI data set. Unlike most of the existing dictionary learning algorithms whichrely on the assumption that the data points are vectors in some Euclidean space,our dictionary learning algorithm is designed to incorporate the intrinsicgeometric structure of manifolds and performs better than traditional dictionarylearning approaches when applied to data lying on the manifold of square rootdensities. Non-negativity as well as smoothness across the whole field of thereconstructed DPs is guaranteed in our approach. We demonstrate the advantage ofour approach by comparing it with an existing dictionary based reconstructionmethod on synthetic and real multi-shell MRI data.
Starting Page	619
File Format	PDF
ISSN	10112499
Journal	Information processing in medical imaging : proceedings of the ... conference
Volume Number	23
Language	English
Publisher Date	2013-01-01
Access Restriction	Open
Subject Keyword	Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Medicine

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Dictionary Learning on the Manifold of Square Root Densities andApplication to Reconstruction of Diffusion Propagator Fields*