Paper Info
Title
Manifold parametrization of the left ventricle for a statistical modelling of its complete anatomy
Abstract
Distortion of Left Ventricle (LV) external anatomy is related to some dysfunctions, such as hypertrophy. The architecture of myocardial fibers determines LV electromechanical activation patterns as well as mechanics. Thus, their joined modelling would allow the design of specific interventions (such as peacemaker implantation and LV remodelling) and therapies (such as resynchronization). On one hand, accurate modelling of external anatomy requires either a dense sampling or a continuous infinite dimensional approach, which requires non-Euclidean statistics. On the other hand, computation of fiber models requires statistics on Riemannian spaces. Most approaches compute separate statistical models for external anatomy and fibers architecture. In this work we propose a general mathematical framework based on differential geometry concepts for computing a statistical model including, both, external and fiber anatomy. Our framework provides a continuous approach to external anatomy supporting standard statistics. We also provide a straightforward formula for the computation of the Riemannian fiber statistics. We have applied our methodology to the computation of complete anatomical atlas of canine hearts from diffusion tensor studies. The orientation of fibers over the average external geometry agrees with the segmental description of orientations reported in the literature.
Year
DOI
Venue
2010
10.1117/12.844480
Proceedings of SPIE
Keywords
Field
DocType
Manifold parametrization,LV Anatomic Atlases,Diffusion Tensor Imaging,Point Distribution Models,Frechet Mean
Fréchet mean,Diffusion MRI,Anatomy,Parametrization,Statistical model,Differential geometry,Distortion,Manifold,Computation,Physics
Conference
Volume
ISSN
Citations 
7623
0277-786X
4
PageRank 
References 
Authors
0.42
6
4
Name
Order
Citations
PageRank
Debora Gil1457.46
Garcia-Barnes, J.2252.40
Aura Hernandez36610.89
Enric Martı́434426.52