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Abstract #2868

Spatially regularized multi-exponential transverse relaxation times estimation from magnitude MRI images under Rician noise.

Christian EL HAJJ1,2, Guylaine COLLEWET2, Maja MUSSE2, and Saïd MOUSSAOUI1

1ECN, LS2N UMR CNRS 6004, Nantes, France, 2IRSTEA, UR OPAALE, Rennes, France

This work aims at improving the estimation of multi-exponential transverse relaxation times from noisy magnitude MRI images. A spatially regularized Maximum-Likelihood estimator accounting for the Rician distribution of the noise was introduced. This approach is compared to a Rician corrected least-square criterion with the introduction of spatial regularization. To deal with the large-scale optimization problem, a majoration-minimization approach was used, allowing the implementation of both the maximum-likelihood estimator and the spatial regularization. The importance of the regularization alongside the rician noise incorporation is shown both visually and numerically on magnitude MRI images acquired on fruit samples.

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