TY - CONF AU - Debora Gil AU - Jaume Garcia AU - Ruth Aris AU - Guillaume Houzeaux AU - Manuel Vazquez A2 - CMBE ED - Nithiarasu, R.L.R.V.L. PY - 2009// TI - A Riemmanian approach to cardiac fiber architecture modelling BT - 1st International Conference on Mathematical & Computational Biomedical Engineering SP - 59 EP - 62 CY - Swansea (UK) KW - cardiac fiber architecture KW - diffusion tensor magnetic resonance imaging KW - differential (Rie- mannian) geometry. N2 - 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. L1 - http://refbase.cvc.uab.es/files/FGA2009.pdf N1 - IAM ID - Debora Gil2009 ER -