Paper Info
Title
New linear transforms for data on a Fourier 2-sphere with application to diffusion MRI.
Abstract
This paper describes a new family of linear transforms for data restricted to the surface of a 2-sphere in three-dimensional Fourier space. These transforms generalize the existing Funk-Radon Transform, which has previously been used with great success to extract microstructural tissue orientation information from high angular resolution magnetic resonance diffusion imaging data. Several properties of the new transforms are described, and computationally efficient implementations are derived using spherical harmonic basis functions. A special case from this family, called the Funk-Radon and Cosine Transform, is introduced and evaluated. The method is illustrated with simulated and real diffusion weighted MRI data.
Year
DOI
Venue
2012
10.1109/ISBI.2012.6235569
ISBI
Keywords
Field
DocType
Fourier transforms,biodiffusion,biological tissues,biomedical MRI,feature extraction,image resolution,medical image processing,Fourier 2-sphere transforms,Funk-Radon Transform,cosine transform,feature extraction,high angular resolution magnetic resonance diffusion imaging data,linear data transforms,microstructural tissue orientation information,real diffusion weighted MRI data,simulated diffusion weighted MRI data,spherical harmonic basis functions,three-dimensional Fourier space,Diffusion Magnetic Resonance Imaging,Funk-Radon and Cosine Transform,Orientation Distribution Functions,q-Space
Computer vision,Harmonic wavelet transform,Computer science,Discrete cosine transform,Fourier transform,Harmonic analysis,Artificial intelligence,Hartley transform,Fractional Fourier transform,Sine and cosine transforms,Phase correlation
Conference
Citations 
PageRank 
References 
1
0.36
0
Authors
2
Name
Order
Citations
PageRank
Justin P. Haldar135035.40
Richard M Leahy21768295.29