Authors
Jian Cheng, Tianzi Jiang, Rachid Deriche
Publication date
2012
Journal
Medical Image Computing and Computer-Assisted Intervention–MICCAI 2012
Pages
313-321
Publisher
Springer Berlin/Heidelberg
Description
In High Angular Resolution Diffusion Imaging (HARDI), Orientation Distribution Function (ODF) and Ensemble Average Propagator (EAP) are two important Probability Density Functions (PDFs) which reflect the water diffusion and fiber orientations. Spherical Polar Fourier Imaging (SPFI) is a recent model-free multi-shell HARDI method which estimates both EAP and ODF from the diffusion signals with multiple b values. As physical PDFs, ODFs and EAPs are nonnegative definite respectively in their domains and ℝ3. However, existing ODF/EAP estimation methods like SPFI seldom consider this natural constraint. Although some works considered the nonnegative constraint on the given discrete samples of ODF/EAP, the estimated ODF/EAP is not guaranteed to be nonnegative definite in the whole continuous domain. The Riemannian framework for ODFs and EAPs has been proposed via the square …
Total citations
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Scholar articles
J Cheng, T Jiang, R Deriche - International Conference on Medical Image Computing …, 2012