Estimation of orientation distribution function using spherical ridgelet basis with minimum L2 norm

Author

Zhang, Na ; Kang, Qianqian ; Hu, Yong

Author_Institution

Dept. of Math., Zhejiang Univ., Hangzhou, China

Volume

2

fYear

2011

fDate

15-17 Oct. 2011

Firstpage

735

Lastpage

738

Abstract

By measuring the local diffusion properties of water molecules in three dimensions, diffusion-weighted magnetic resonance imaging (DW-MRI) can provide invaluable information on the white matter architecture in the brain in vivo and non-invasively. Q-ball imaging (QBI) is a widely used high angular resolution diffusion imaging (HARDI) technique for orientation density function (ODF) with Funk-Radon transform (FRT). In this paper we propose an analytical estimation method for ODF in QBI using spherical ridgelet (SR) basis with closed form expressions.

Keywords

biodiffusion; biomedical MRI; brain; neurophysiology; water; Funk-Radon transform; H₂O; MRI; Q-ball imaging; brain; diffusion-weighted magnetic resonance imaging; high angular resolution diffusion imaging; local diffusion properties; minimum L₂ norm; orientation density function; orientation distribution function estimation; spherical ridgelet basis; water molecules; Biomedical imaging; Humans; Image reconstruction; Strontium; Transforms; Vectors; Q-Ball Imaging; diffusion-weighted MRI; spherical ridgelet;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Engineering and Informatics (BMEI), 2011 4th International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-9351-7

Type

conf

DOI

10.1109/BMEI.2011.6098483

Filename

6098483