Title :
A fast and rigorous anisotropic smoothing method for DT-MRI
Author :
Castano-Moraga, C.A. ; Lenglet, C. ; Deriche, R. ; Ruiz-Alzola, J.
Author_Institution :
Departamento de Senales y Comunicaciones, Centro de Tecnologia Medica
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
Keywords :
biomedical MRI; medical image processing; smoothing methods; tensors; DT-MRI; Riemannian metric; anisotropic filtering; diffusion tensor magnetic resonance imaging; fast rigorous anisotropic smoothing method; image processing; multivariate normal distributions; regularization; symmetric positive definite matrices; Anisotropic filters; Anisotropic magnetoresistance; Covariance matrix; Diffusion tensor imaging; Eigenvalues and eigenfunctions; Filtering; Gaussian distribution; Smoothing methods; Symmetric matrices; Tensile stress;
Conference_Titel :
Biomedical Imaging: Nano to Macro, 2006. 3rd IEEE International Symposium on
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-9576-X
DOI :
10.1109/ISBI.2006.1624860
