Title
HARDI denoising: variational regularization of the spherical apparent diffusion coefficient sADC.
Abstract
We denoise HARDI (High Angular Resolution Diffusion Imaging) data arising in medical imaging. Diffusion imaging is a relatively new and powerful method to measure the 3D profile of water diffusion at each point. This can be used to reconstruct fiber directions and pathways in the living brain, providing detailed maps of fiber integrity and connectivity. HARDI is a powerful new extension of diffusion imaging, which goes beyond the diffusion tensor imaging (DTI) model: mathematically, intensity data is given at every voxel and at any direction on the sphere. However, HARDI data is usually highly contaminated with noise, depending on the b-value which is a tuning parameter preselected to collect the data. Larger b-values help to collect more accurate information in terms of measuring diffusivity, but more noise is generated by many factors as well. So large b-values are preferred, if we can satisfactorily reduce the noise without losing the data structure. We propose a variational method to denoise HARDI data by denoising the spherical Apparent Diffusion Coefficient (sADC), a field of radial functions derived from the data. We use vectorial total variation regularization, an L1 data fidelity term and the logarithmic barrier function in the minimization. We present experiments of denoising synthetic and real HARDI data.
Year
DOI
Venue
2009
10.1007/978-3-642-02498-6_43
IPMI
Keywords
Field
DocType
data fidelity term,diffusion imaging,real hardi data,large b,intensity data,data structure,diffusion tensor imaging,variational regularization,hardi data,hardi denoising,spherical apparent diffusion coefficient,water diffusion,medical imaging,barrier function,variational method,apparent diffusion coefficient,power method,total variation regularization
Noise reduction,Effective diffusion coefficient,Computer vision,Diffusion MRI,Variational method,Medical imaging,Total variation denoising,Regularization (mathematics),Artificial intelligence,Logarithm,Mathematics
Conference
Volume
ISSN
Citations 
21
1011-2499
5
PageRank 
References 
Authors
0.60
18
5
Name
Order
Citations
PageRank
Yunho Kim136622.54
Paul Thompson23860321.32
Arthur W. Toga33128261.46
Luminita A. Vese45389302.64
Liang Zhan514524.82