ISBI 2006: IEEE 2006 International Symposium on Biomedical Imaging, April 6-9, 2006, Crystal Gateway Marriott, Arlington, Virginia, U.S.A.

Technical Program

Paper Detail

Paper:TH-PM-PS2.12
Session:Diffusion Tensor Imaging
Time:Thursday, April 6, 15:20 - 16:40
Presentation: Poster
Title: A Fast and Rigorous Anisotropic Smoothing Method for DT-MRI
Authors: Carlos-Alberto CastaƱo-Moraga; University of Las Palmas de Gran Canaria 
 Christophe Lenglet; INRIA Sophia-Antipolis 
 Rachid Deriche; INRIA Sophia-Antipolis 
 Juan Ruiz-Alzola; University of Las Palmas de Gran Canaria 
Abstract: Tensors are nowadays an increasing research domain in different areas, especially in image processing, motivated for example by DT-MRI (Diffusion Tensor Magnetic Resonance Imaging). In this paper, we exploit the theoretically well-founded differential geometrical properties of the space of multivariate normal distributions, where it is possible to define a Riemannian metric and express statistics on the manifold of symmetric positive definite matrices. We focus on the contributions of these tools to the anisotropic filtering and regularization of tensor fields. We present promising results on synthetic and real DT-MRI data.



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