TY - GEN
T1 - A fast and rigorous anisotropic smoothing method for DT-MRI
AU - Castaño-Moraga, C. A.
AU - Lenglet, C.
AU - Deriche, R.
AU - Ruiz-Alzola, J.
PY - 2006/11/17
Y1 - 2006/11/17
N2 - 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 wellfounded 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.
AB - 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 wellfounded 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.
UR - http://www.scopus.com/inward/record.url?scp=33750957117&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750957117&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:33750957117
SN - 0780395778
SN - 9780780395770
T3 - 2006 3rd IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings
SP - 93
EP - 96
BT - 2006 3rd IEEE International Symposium on Biomedical Imaging
T2 - 2006 3rd IEEE International Symposium on Biomedical Imaging: From Nano to Macro
Y2 - 6 April 2006 through 9 April 2006
ER -