TERNARY QUARTIC APPROACH FOR POSITIVE 4TH ORDER DIFFUSION TENSORS REVISITED

Aurobrata Ghosh (1) , Rachid Deriche (1) , Maher Moakher (2)

1 ODYSSEE - Computer and biological vision
2 ENIT - Ecole Nationale d'Ingénieurs de Tunis

In Diffusion Magnetic Resonance Imaging (D-MRI), the 2nd order diffusion tensor has given rise to a widely used tool – Diffusion Tensor Imaging (DTI). However, it is known that DTI is limited to a single prominent diffusion direction and is inaccurate in regions of complex fiber structures such as crossings. Various other approaches have been introduced to recover such complex tissue micro-geometries, one of which is Higher Order Cartesian Tensors. Estimating a positive diffusion function has also been emphasised mathematically, since diffusion is a physical quantity. Recently there have been efforts to estimate 4th order diffusion tensors from DiffusionWeighted Images (DWIs), which are capable of describing crossing configurations with the added property of a positive diffusion function. We take up one such, the Ternary Quartic approach, and reformulate the estimation equation to facilitate the estimation of the non-negative 4th order diffusion tensor. With our modified approach we test on synthetic, phantom and real data and confirm previous results.

Domaines: Imagerie médicale

Aurobrata Ghosh, Rachid Deriche, Maher Moakher. TERNARY QUARTIC APPROACH FOR POSITIVE 4TH ORDER DIFFUSION TENSORS REVISITED. 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Jun 2009, Boston, United States. 4 p. ⟨inria-00496873⟩