DocumentCode :
3507578
Title :
Exact integration of diffusion orientation distribution functions for graph-based diffusion MRI analysis
Author :
Booth, Brian G. ; Hamarneh, Ghassan
Author_Institution :
Med. Image Anal. Lab., Simon Fraser Univ., Burnaby, BC, Canada
fYear :
2011
fDate :
March 30 2011-April 2 2011
Firstpage :
935
Lastpage :
938
Abstract :
Graph-based image analysis methods are increasingly being applied to diffusion MRI (dMRI) analysis. Unfortunately, weighting the graph for these methods involves solving a complex integral of an orientation distribution function (ODF). To date, these integrals have been approximated numerically at high computational cost and have resulted in numerical approximation errors that degrade dMRI analysis results. By exploiting a spherical harmonic representation of the ODF, we derive for the first time an analytical solution to the edge weight integrals used in graph-based dMRI analysis. We further show that the computational efficiency of our analytical integration is over forty times faster than numerical approximation schemes on typical data sets. Further, we incorporate our exact integration scheme into an existing graph-based probabilistic tractography method and show a reduction in error accumulation in the resulting tractograms.
Keywords :
biodiffusion; biomedical MRI; numerical analysis; probability; analytical solution; diffusion orientation distribution functions; edge weight integrals; exact integration scheme; graph-based diffusion MRI analysis; graph-based image analysis methods; graph-based probabilistic tractography method; numerical approximation errors; spherical harmonic representation; Approximation methods; Frequency modulation; Harmonic analysis; Image analysis; Image edge detection; Magnetic resonance imaging; Solids; Diffusion MRI; graph-based analysis; numerical analysis; spherical harmonics; tractography;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Biomedical Imaging: From Nano to Macro, 2011 IEEE International Symposium on
Conference_Location :
Chicago, IL
ISSN :
1945-7928
Print_ISBN :
978-1-4244-4127-3
Electronic_ISBN :
1945-7928
Type :
conf
DOI :
10.1109/ISBI.2011.5872557
Filename :
5872557
Link To Document :
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