Using Radial NMR Profiles to Characterize Pore Size Distributions

Rachid Deriche 1 John Treilhard 1
1 ATHENA - Computational Imaging of the Central Nervous System
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Extracting information about axon diameter distributions in the brain is a challenging task which provides useful information for medical purposes; for example, the ability to characterize and monitor axon diameters would be useful in diagnosing and investigating diseases like amyotrophic lateral sclerosis (ALS)1 or autism.2 Three families of operators are defined by Ozarslan,3 whose action upon an NMR attenuation signal extracts the moments of the pore size distribution of the ensemble under consideration; also a numerical method is proposed to continuously reconstruct a discretely sampled attenuation profile using the eigenfunctions of the simple harmonic oscillator Hamiltonian: the SHORE basis. The work presented here extends Ozarlan's method to other bases that can offer a better description of attenuation signal behaviour; in particular, we propose the use of the radial Spherical Polar Fourier (SPF) basis. Testing is performed to contrast the efficacy of the radial SPF basis and SHORE basis in practical attenuation signal reconstruction. The robustness of the method to additive noise is tested and analysed. We demonstrate that a low-order attenuation signal reconstruction outperforms a higher-order reconstruction in subsequent moment estimation under noisy conditions. We propose the simulated annealing algorithm for basis function scale parameter estimation. Finally, analytic expressions are derived and presented for the action of the operators on the radial SPF basis (obviating the need for numerical integration, thus avoiding a spectrum of possible sources of error).
Type de document :
Communication dans un congrès
David R. Haynor, Sébastien Ourselin. Medical Imaging 2012: Image Processing, Feb 2012, San Diego, CA, United States. Vol. 8314, pp.83140L-1--83140L-13, 2012, 〈10.1117/12.910673〉
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https://hal.inria.fr/hal-00712695
Contributeur : Rachid Deriche <>
Soumis le : mercredi 27 juin 2012 - 18:20:32
Dernière modification le : jeudi 11 janvier 2018 - 16:20:57

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Rachid Deriche, John Treilhard. Using Radial NMR Profiles to Characterize Pore Size Distributions. David R. Haynor, Sébastien Ourselin. Medical Imaging 2012: Image Processing, Feb 2012, San Diego, CA, United States. Vol. 8314, pp.83140L-1--83140L-13, 2012, 〈10.1117/12.910673〉. 〈hal-00712695〉

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