PT Unknown AU Debora Gil Jaume Garcia Ruth Aris Guillaume Houzeaux Manuel Vazquez TI A Riemmanian approach to cardiac fiber architecture modelling BT 1st International Conference on Mathematical & Computational Biomedical Engineering PY 2009 BP 59 EP 62 DE cardiac fiber architecture; diffusion tensor magnetic resonance imaging; differential (Rie- mannian) geometry. AB There is general consensus that myocardial fiber architecture should be modelled in order to fully understand the electromechanical properties of the Left Ventricle (LV). Diffusion Tensor magnetic resonance Imaging (DTI) is the reference image modality for rapid measurement of fiber orientations by means of the tensor principal eigenvectors. In this work, we present a mathematical framework for across subject comparison of the local geometry of the LV anatomy including the fiber architecture from the statistical analysis of DTI studies. We use concepts of differential geometry for defining a parametric domain suitable for statistical analysis of a low number of samples. We use Riemannian metrics to define a consistent computation of DTI principal eigenvector modes of variation. Our framework has been applied to build an atlas of the LV fiber architecture from 7 DTI normal canine hearts. PI Swansea (UK) ER